TSTP Solution File: HWV031-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV031-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:10:46 EDT 2022
% Result : Unsatisfiable 0.21s 0.46s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HWV031-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 31 22:06:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 0.21/0.46 % SZS status Unsatisfiable
% 0.21/0.46 % SZS output start Proof
% 0.21/0.46 tff(n0_type, type, (
% 0.21/0.46 n0: $i)).
% 0.21/0.46 tff(wr_level_type, type, (
% 0.21/0.46 wr_level: $i > $i)).
% 0.21/0.46 tff(plus_type, type, (
% 0.21/0.46 plus: ( $i * $i ) > $i)).
% 0.21/0.46 tff(n1_type, type, (
% 0.21/0.46 n1: $i)).
% 0.21/0.46 tff(x_139_type, type, (
% 0.21/0.46 x_139: $i)).
% 0.21/0.46 tff(gt_type, type, (
% 0.21/0.46 gt: ( $i * $i ) > $o)).
% 0.21/0.46 tff(fifo_length_type, type, (
% 0.21/0.46 fifo_length: $i)).
% 0.21/0.46 tff(p_Wr_type, type, (
% 0.21/0.46 p_Wr: $i > $o)).
% 0.21/0.46 tff(p_Reset_type, type, (
% 0.21/0.46 p_Reset: $i > $o)).
% 0.21/0.46 tff(p_Rd_type, type, (
% 0.21/0.46 p_Rd: $i > $o)).
% 0.21/0.46 tff(minus_type, type, (
% 0.21/0.46 minus: ( $i * $i ) > $i)).
% 0.21/0.46 tff(int_level_type, type, (
% 0.21/0.46 int_level: $i > $i)).
% 0.21/0.46 tff(1,assumption,(wr_level(plus(x_139, n1)) = wr_level(x_139)), introduced(assumption)).
% 0.21/0.46 tff(2,plain,
% 0.21/0.46 (plus(wr_level(plus(x_139, n1)), n1) = plus(wr_level(x_139), n1)),
% 0.21/0.46 inference(monotonicity,[status(thm)],[1])).
% 0.21/0.46 tff(3,plain,
% 0.21/0.46 (gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length) <=> gt(plus(wr_level(x_139), n1), fifo_length)),
% 0.21/0.46 inference(monotonicity,[status(thm)],[2])).
% 0.21/0.46 tff(4,plain,
% 0.21/0.46 (gt(plus(wr_level(x_139), n1), fifo_length) <=> gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.46 inference(symmetry,[status(thm)],[3])).
% 0.21/0.46 tff(5,plain,
% 0.21/0.46 ((~gt(plus(wr_level(x_139), n1), fifo_length)) <=> (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length))),
% 0.21/0.46 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.46 tff(6,plain,
% 0.21/0.46 ((~gt(plus(wr_level(x_139), n1), fifo_length)) <=> (~gt(plus(wr_level(x_139), n1), fifo_length))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(7,axiom,(~gt(plus(wr_level(x_139), n1), fifo_length)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_1')).
% 0.21/0.46 tff(8,plain,
% 0.21/0.46 (~gt(plus(wr_level(x_139), n1), fifo_length)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.21/0.46 tff(9,plain,
% 0.21/0.46 (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.21/0.46 tff(10,plain,
% 0.21/0.46 (gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length) <=> gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(11,axiom,(gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quest_2')).
% 0.21/0.46 tff(12,plain,
% 0.21/0.46 (gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[11, 10])).
% 0.21/0.46 tff(13,plain,
% 0.21/0.46 ($false),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[12, 9])).
% 0.21/0.46 tff(14,plain,(~(wr_level(plus(x_139, n1)) = wr_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.46 tff(15,assumption,(~(wr_level(plus(x_139, n1)) = n0)), introduced(assumption)).
% 0.21/0.46 tff(16,plain,
% 0.21/0.46 (^[X_t_37: $i] : refl(((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0)) <=> ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0)))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(17,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[16])).
% 0.21/0.46 tff(18,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0)) <=> ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(19,axiom,(![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_27')).
% 0.21/0.46 tff(20,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.21/0.46 tff(21,plain,(
% 0.21/0.46 ![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(skolemize,[status(sab)],[20])).
% 0.21/0.46 tff(22,plain,
% 0.21/0.46 (![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.21/0.46 tff(23,plain,
% 0.21/0.46 (((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(x_139)) | (wr_level(plus(x_139, n1)) = n0))) <=> ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(24,plain,
% 0.21/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))) | ((~p_Reset(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(25,plain,
% 0.21/0.46 ((~![X_t_37: $i] : ((~p_Reset(X_t_37)) | (wr_level(plus(X_t_37, n1)) = n0))) | (~p_Reset(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.46 tff(26,plain,
% 0.21/0.46 ((~p_Reset(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[25, 22])).
% 0.21/0.46 tff(27,plain,
% 0.21/0.46 (~p_Reset(x_139)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[26, 15])).
% 0.21/0.46 tff(28,plain,
% 0.21/0.46 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(29,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[28])).
% 0.21/0.46 tff(30,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(31,plain,
% 0.21/0.46 (^[X_t_42: $i] : rewrite(((p_Reset(X_t_42) | p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))))),
% 0.21/0.46 inference(bind,[status(th)],[])).
% 0.21/0.46 tff(32,plain,
% 0.21/0.46 (![X_t_42: $i] : ((p_Reset(X_t_42) | p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(quant_intro,[status(thm)],[31])).
% 0.21/0.46 tff(33,axiom,(![X_t_42: $i] : ((p_Reset(X_t_42) | p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_69')).
% 0.21/0.46 tff(34,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.21/0.46 tff(35,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.21/0.46 tff(36,plain,(
% 0.21/0.46 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(skolemize,[status(sab)],[35])).
% 0.21/0.46 tff(37,plain,
% 0.21/0.46 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.21/0.46 tff(38,plain,
% 0.21/0.46 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | (p_Reset(x_139) | p_Wr(x_139) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | p_Reset(x_139) | p_Wr(x_139) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))),
% 0.21/0.46 inference(rewrite,[status(thm)],[])).
% 0.21/0.46 tff(39,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | (p_Reset(x_139) | p_Wr(x_139) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))),
% 0.21/0.46 inference(quant_inst,[status(thm)],[])).
% 0.21/0.46 tff(40,plain,
% 0.21/0.46 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Wr(X_t_42) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | p_Reset(x_139) | p_Wr(x_139) | (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.46 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.21/0.46 tff(41,plain,
% 0.21/0.46 (p_Reset(x_139) | p_Wr(x_139) | (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.21/0.46 tff(42,plain,
% 0.21/0.46 (p_Wr(x_139)),
% 0.21/0.46 inference(unit_resolution,[status(thm)],[41, 27, 14])).
% 0.21/0.46 tff(43,assumption,(~(wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1))), introduced(assumption)).
% 0.21/0.47 tff(44,assumption,(p_Wr(x_139)), introduced(assumption)).
% 0.21/0.47 tff(45,assumption,(~p_Reset(x_139)), introduced(assumption)).
% 0.21/0.47 tff(46,assumption,(p_Rd(x_139)), introduced(assumption)).
% 0.21/0.47 tff(47,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(48,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[47])).
% 0.21/0.47 tff(49,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(50,plain,
% 0.21/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(51,plain,
% 0.21/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[50])).
% 0.21/0.47 tff(52,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_67')).
% 0.21/0.47 tff(53,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.21/0.47 tff(54,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[53, 49])).
% 0.21/0.47 tff(55,plain,(
% 0.21/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(skolemize,[status(sab)],[54])).
% 0.21/0.47 tff(56,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[55, 48])).
% 0.21/0.47 tff(57,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(58,plain,
% 0.21/0.47 ((p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139)))) <=> (p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(59,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139))))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[58])).
% 0.21/0.47 tff(60,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139)))),
% 0.21/0.47 inference(transitivity,[status(thm)],[59, 57])).
% 0.21/0.47 tff(61,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(62,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.21/0.47 tff(63,plain,
% 0.21/0.47 (p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~p_Rd(x_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[62, 56])).
% 0.21/0.47 tff(64,plain,
% 0.21/0.47 (~gt(minus(fifo_length, n1), wr_level(x_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[63, 46, 45, 43, 44])).
% 0.21/0.47 tff(65,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(66,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[65])).
% 0.21/0.47 tff(67,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(68,plain,
% 0.21/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(69,plain,
% 0.21/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[68])).
% 0.21/0.47 tff(70,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | (~p_Rd(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_68')).
% 0.21/0.47 tff(71,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.21/0.47 tff(72,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.21/0.47 tff(73,plain,(
% 0.21/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(skolemize,[status(sab)],[72])).
% 0.21/0.47 tff(74,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[73, 66])).
% 0.21/0.47 tff(75,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(76,plain,
% 0.21/0.47 ((p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139))) <=> (p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(77,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0)))),
% 0.21/0.47 inference(monotonicity,[status(thm)],[76])).
% 0.21/0.47 tff(78,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.47 inference(transitivity,[status(thm)],[77, 75])).
% 0.21/0.47 tff(79,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | (~p_Rd(x_139)) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(80,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | (~p_Rd(X_t_42)) | (~p_Wr(X_t_42)) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.21/0.47 tff(81,plain,
% 0.21/0.47 (p_Reset(x_139) | (~p_Wr(x_139)) | gt(minus(fifo_length, n1), wr_level(x_139)) | (~p_Rd(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[80, 74])).
% 0.21/0.47 tff(82,plain,
% 0.21/0.47 ($false),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[81, 64, 46, 45, 44, 15])).
% 0.21/0.47 tff(83,plain,((~p_Rd(x_139)) | p_Reset(x_139) | (~p_Wr(x_139)) | (wr_level(plus(x_139, n1)) = n0) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.47 tff(84,plain,
% 0.21/0.47 (~p_Rd(x_139)),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[83, 42, 43, 15, 27])).
% 0.21/0.47 tff(85,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(86,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[85])).
% 0.21/0.47 tff(87,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(88,plain,
% 0.21/0.47 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(89,plain,
% 0.21/0.47 (![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[88])).
% 0.21/0.47 tff(90,axiom,(![X_t_42: $i] : ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_43')).
% 0.21/0.47 tff(91,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.21/0.47 tff(92,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[91, 87])).
% 0.21/0.47 tff(93,plain,(
% 0.21/0.47 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(skolemize,[status(sab)],[92])).
% 0.21/0.47 tff(94,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[93, 86])).
% 0.21/0.47 tff(95,plain,
% 0.21/0.47 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))),
% 0.21/0.47 inference(rewrite,[status(thm)],[])).
% 0.21/0.47 tff(96,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (wr_level(plus(x_139, n1)) = wr_level(x_139)))),
% 0.21/0.47 inference(quant_inst,[status(thm)],[])).
% 0.21/0.47 tff(97,plain,
% 0.21/0.47 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | gt(fifo_length, int_level(X_t_42)) | (wr_level(plus(X_t_42, n1)) = wr_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.47 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.21/0.47 tff(98,plain,
% 0.21/0.47 (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | gt(fifo_length, int_level(x_139)) | (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[97, 94])).
% 0.21/0.47 tff(99,plain,
% 0.21/0.47 (gt(fifo_length, int_level(x_139))),
% 0.21/0.47 inference(unit_resolution,[status(thm)],[98, 84, 27, 42, 14])).
% 0.21/0.47 tff(100,assumption,(gt(fifo_length, int_level(x_139))), introduced(assumption)).
% 0.21/0.47 tff(101,assumption,(~p_Rd(x_139)), introduced(assumption)).
% 0.21/0.47 tff(102,plain,
% 0.21/0.47 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))),
% 0.21/0.47 inference(bind,[status(th)],[])).
% 0.21/0.47 tff(103,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.47 inference(quant_intro,[status(thm)],[102])).
% 0.21/0.47 tff(104,plain,
% 0.21/0.47 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(105,plain,
% 0.21/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(106,plain,
% 0.21/0.48 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[105])).
% 0.21/0.48 tff(107,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | (~gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_40')).
% 0.21/0.48 tff(108,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.21/0.48 tff(109,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.21/0.48 tff(110,plain,(
% 0.21/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(skolemize,[status(sab)],[109])).
% 0.21/0.48 tff(111,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[110, 103])).
% 0.21/0.48 tff(112,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(113,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(114,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = plus(wr_level(X_t_42), n1)) | (~gt(minus(fifo_length, n1), wr_level(X_t_42))))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.21/0.48 tff(115,plain,
% 0.21/0.48 (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139)))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[114, 111])).
% 0.21/0.48 tff(116,plain,
% 0.21/0.48 (~gt(minus(fifo_length, n1), wr_level(x_139))),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[115, 101, 45, 44, 43, 100])).
% 0.21/0.48 tff(117,plain,
% 0.21/0.48 (^[X_t_42: $i] : refl((p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(118,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[117])).
% 0.21/0.48 tff(119,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(120,plain,
% 0.21/0.48 (^[X_t_42: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42))) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))))), ((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))), (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) <=> (p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> ((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)))), rewrite(((p_Reset(X_t_42) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))), ((((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(121,plain,
% 0.21/0.48 (![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0)) <=> ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[120])).
% 0.21/0.48 tff(122,axiom,(![X_t_42: $i] : (((((p_Reset(X_t_42) | (~p_Wr(X_t_42))) | p_Rd(X_t_42)) | (~gt(fifo_length, int_level(X_t_42)))) | gt(minus(fifo_length, n1), wr_level(X_t_42))) | (wr_level(plus(X_t_42, n1)) = n0))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_41')).
% 0.21/0.48 tff(123,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.21/0.48 tff(124,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[123, 119])).
% 0.21/0.48 tff(125,plain,(
% 0.21/0.48 ![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(skolemize,[status(sab)],[124])).
% 0.21/0.48 tff(126,plain,
% 0.21/0.48 (![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[125, 118])).
% 0.21/0.48 tff(127,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(128,plain,
% 0.21/0.48 ((p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139))) <=> (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(129,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0)))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[128])).
% 0.21/0.48 tff(130,plain,
% 0.21/0.48 (((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)))) <=> ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0))),
% 0.21/0.48 inference(transitivity,[status(thm)],[129, 127])).
% 0.21/0.48 tff(131,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | (p_Reset(x_139) | (wr_level(plus(x_139, n1)) = n0) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(132,plain,
% 0.21/0.48 ((~![X_t_42: $i] : (p_Reset(X_t_42) | (wr_level(plus(X_t_42, n1)) = n0) | p_Rd(X_t_42) | (~p_Wr(X_t_42)) | (~gt(fifo_length, int_level(X_t_42))) | gt(minus(fifo_length, n1), wr_level(X_t_42)))) | p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.21/0.48 tff(133,plain,
% 0.21/0.48 (p_Reset(x_139) | p_Rd(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | gt(minus(fifo_length, n1), wr_level(x_139)) | (wr_level(plus(x_139, n1)) = n0)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[132, 126])).
% 0.21/0.48 tff(134,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[133, 116, 101, 45, 44, 100, 15])).
% 0.21/0.48 tff(135,plain,(p_Rd(x_139) | p_Reset(x_139) | (~p_Wr(x_139)) | (~gt(fifo_length, int_level(x_139))) | (wr_level(plus(x_139, n1)) = n0) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(136,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[135, 99, 84, 43, 27, 15, 42])).
% 0.21/0.48 tff(137,plain,((wr_level(plus(x_139, n1)) = n0) | (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(138,plain,
% 0.21/0.48 (wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[137, 15])).
% 0.21/0.48 tff(139,assumption,(wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1)), introduced(assumption)).
% 0.21/0.48 tff(140,plain,
% 0.21/0.48 (plus(wr_level(x_139), n1) = wr_level(plus(x_139, n1))),
% 0.21/0.48 inference(symmetry,[status(thm)],[139])).
% 0.21/0.48 tff(141,plain,
% 0.21/0.48 (gt(plus(wr_level(x_139), n1), fifo_length) <=> gt(wr_level(plus(x_139, n1)), fifo_length)),
% 0.21/0.48 inference(monotonicity,[status(thm)],[140])).
% 0.21/0.48 tff(142,plain,
% 0.21/0.48 ((~gt(plus(wr_level(x_139), n1), fifo_length)) <=> (~gt(wr_level(plus(x_139, n1)), fifo_length))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[141])).
% 0.21/0.48 tff(143,plain,
% 0.21/0.48 (~gt(wr_level(plus(x_139, n1)), fifo_length)),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[8, 142])).
% 0.21/0.48 tff(144,plain,
% 0.21/0.48 ((fifo_length = wr_level(plus(x_139, n1))) <=> (wr_level(plus(x_139, n1)) = fifo_length)),
% 0.21/0.48 inference(commutativity,[status(thm)],[])).
% 0.21/0.48 tff(145,plain,
% 0.21/0.48 ((fifo_length = plus(wr_level(x_139), n1)) <=> (fifo_length = wr_level(plus(x_139, n1)))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[140])).
% 0.21/0.48 tff(146,plain,
% 0.21/0.48 ((fifo_length = plus(wr_level(x_139), n1)) <=> (wr_level(plus(x_139, n1)) = fifo_length)),
% 0.21/0.48 inference(transitivity,[status(thm)],[145, 144])).
% 0.21/0.48 tff(147,plain,
% 0.21/0.48 ((~(fifo_length = plus(wr_level(x_139), n1))) <=> (~(wr_level(plus(x_139, n1)) = fifo_length))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[146])).
% 0.21/0.48 tff(148,assumption,(~(fifo_length = plus(wr_level(x_139), n1))), introduced(assumption)).
% 0.21/0.48 tff(149,plain,
% 0.21/0.48 (~(wr_level(plus(x_139, n1)) = fifo_length)),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.21/0.48 tff(150,plain,
% 0.21/0.48 (^[Y_16: $i, X_15: $i] : refl((gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(151,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[150])).
% 0.21/0.48 tff(152,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(153,plain,
% 0.21/0.48 (^[Y_16: $i, X_15: $i] : rewrite((((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16)) <=> (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16))))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(154,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16)) <=> ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[153])).
% 0.21/0.48 tff(155,axiom,(![Y_16: $i, X_15: $i] : (((~gt(plus(X_15, n1), Y_16)) | gt(X_15, Y_16)) | (X_15 = Y_16))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_11')).
% 0.21/0.48 tff(156,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.21/0.48 tff(157,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[156, 152])).
% 0.21/0.48 tff(158,plain,(
% 0.21/0.48 ![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(skolemize,[status(sab)],[157])).
% 0.21/0.48 tff(159,plain,
% 0.21/0.48 (![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[158, 151])).
% 0.21/0.48 tff(160,plain,
% 0.21/0.48 (((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(plus(x_139, n1)), fifo_length) | (wr_level(plus(x_139, n1)) = fifo_length) | (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)))) <=> ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(plus(x_139, n1)), fifo_length) | (wr_level(plus(x_139, n1)) = fifo_length) | (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)))),
% 0.21/0.48 inference(rewrite,[status(thm)],[])).
% 0.21/0.48 tff(161,plain,
% 0.21/0.48 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(plus(x_139, n1)), fifo_length) | (wr_level(plus(x_139, n1)) = fifo_length) | (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)))),
% 0.21/0.48 inference(quant_inst,[status(thm)],[])).
% 0.21/0.48 tff(162,plain,
% 0.21/0.48 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(plus(x_139, n1)), fifo_length) | (wr_level(plus(x_139, n1)) = fifo_length) | (~gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.21/0.48 tff(163,plain,
% 0.21/0.48 (gt(wr_level(plus(x_139, n1)), fifo_length) | (wr_level(plus(x_139, n1)) = fifo_length)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[162, 159, 12])).
% 0.21/0.48 tff(164,plain,
% 0.21/0.48 ($false),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[163, 149, 143])).
% 0.21/0.48 tff(165,plain,((~(wr_level(plus(x_139, n1)) = plus(wr_level(x_139), n1))) | (fifo_length = plus(wr_level(x_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.48 tff(166,plain,
% 0.21/0.48 (fifo_length = plus(wr_level(x_139), n1)),
% 0.21/0.48 inference(unit_resolution,[status(thm)],[165, 138])).
% 0.21/0.48 tff(167,assumption,(fifo_length = plus(wr_level(x_139), n1)), introduced(assumption)).
% 0.21/0.48 tff(168,plain,
% 0.21/0.48 (minus(fifo_length, n1) = minus(plus(wr_level(x_139), n1), n1)),
% 0.21/0.48 inference(monotonicity,[status(thm)],[167])).
% 0.21/0.48 tff(169,plain,
% 0.21/0.48 (minus(plus(wr_level(x_139), n1), n1) = minus(fifo_length, n1)),
% 0.21/0.48 inference(symmetry,[status(thm)],[168])).
% 0.21/0.48 tff(170,plain,
% 0.21/0.48 (gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139)) <=> gt(minus(fifo_length, n1), wr_level(x_139))),
% 0.21/0.48 inference(monotonicity,[status(thm)],[169])).
% 0.21/0.48 tff(171,plain,
% 0.21/0.48 (gt(minus(fifo_length, n1), wr_level(x_139)) <=> gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))),
% 0.21/0.48 inference(symmetry,[status(thm)],[170])).
% 0.21/0.48 tff(172,assumption,(gt(minus(fifo_length, n1), wr_level(x_139))), introduced(assumption)).
% 0.21/0.48 tff(173,plain,
% 0.21/0.48 (gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))),
% 0.21/0.48 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.21/0.48 tff(174,assumption,(gt(wr_level(x_139), wr_level(x_139))), introduced(assumption)).
% 0.21/0.48 tff(175,plain,
% 0.21/0.48 (^[X_28: $i] : refl((~gt(X_28, X_28)) <=> (~gt(X_28, X_28)))),
% 0.21/0.48 inference(bind,[status(th)],[])).
% 0.21/0.48 tff(176,plain,
% 0.21/0.48 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.48 inference(quant_intro,[status(thm)],[175])).
% 0.21/0.48 tff(177,plain,
% 0.21/0.49 (![X_28: $i] : (~gt(X_28, X_28)) <=> ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(178,axiom,(![X_28: $i] : (~gt(X_28, X_28))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_17')).
% 0.21/0.49 tff(179,plain,
% 0.21/0.49 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.21/0.49 tff(180,plain,(
% 0.21/0.49 ![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.49 inference(skolemize,[status(sab)],[179])).
% 0.21/0.49 tff(181,plain,
% 0.21/0.49 (![X_28: $i] : (~gt(X_28, X_28))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[180, 176])).
% 0.21/0.49 tff(182,plain,
% 0.21/0.49 ((~![X_28: $i] : (~gt(X_28, X_28))) | (~gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(183,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[182, 181, 174])).
% 0.21/0.49 tff(184,plain,(~gt(wr_level(x_139), wr_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(185,assumption,(~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))), introduced(assumption)).
% 0.21/0.49 tff(186,plain,
% 0.21/0.49 (^[X_1: $i] : refl(gt(plus(X_1, n1), n0) <=> gt(plus(X_1, n1), n0))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(187,plain,
% 0.21/0.49 (![X_1: $i] : gt(plus(X_1, n1), n0) <=> ![X_1: $i] : gt(plus(X_1, n1), n0)),
% 0.21/0.49 inference(quant_intro,[status(thm)],[186])).
% 0.21/0.49 tff(188,plain,
% 0.21/0.49 (![X_1: $i] : gt(plus(X_1, n1), n0) <=> ![X_1: $i] : gt(plus(X_1, n1), n0)),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(189,axiom,(![X_1: $i] : gt(plus(X_1, n1), n0)), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_2')).
% 0.21/0.49 tff(190,plain,
% 0.21/0.49 (![X_1: $i] : gt(plus(X_1, n1), n0)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[189, 188])).
% 0.21/0.49 tff(191,plain,(
% 0.21/0.49 ![X_1: $i] : gt(plus(X_1, n1), n0)),
% 0.21/0.49 inference(skolemize,[status(sab)],[190])).
% 0.21/0.49 tff(192,plain,
% 0.21/0.49 (![X_1: $i] : gt(plus(X_1, n1), n0)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[191, 187])).
% 0.21/0.49 tff(193,plain,
% 0.21/0.49 ((~![X_1: $i] : gt(plus(X_1, n1), n0)) | gt(plus(wr_level(x_139), n1), n0)),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(194,plain,
% 0.21/0.49 (gt(plus(wr_level(x_139), n1), n0)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[193, 192])).
% 0.21/0.49 tff(195,plain,
% 0.21/0.49 (^[X_2: $i] : refl(((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(196,plain,
% 0.21/0.49 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[195])).
% 0.21/0.49 tff(197,plain,
% 0.21/0.49 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1))) <=> ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(198,axiom,(![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_3')).
% 0.21/0.49 tff(199,plain,
% 0.21/0.49 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.21/0.49 tff(200,plain,(
% 0.21/0.49 ![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[199])).
% 0.21/0.49 tff(201,plain,
% 0.21/0.49 (![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[200, 196])).
% 0.21/0.49 tff(202,plain,
% 0.21/0.49 (((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(plus(wr_level(x_139), n1), n0)) | gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1)))) <=> ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(plus(wr_level(x_139), n1), n0)) | gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(203,plain,
% 0.21/0.49 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | ((~gt(plus(wr_level(x_139), n1), n0)) | gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(204,plain,
% 0.21/0.49 ((~![X_2: $i] : ((~gt(X_2, n0)) | gt(X_2, minus(X_2, n1)))) | (~gt(plus(wr_level(x_139), n1), n0)) | gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.21/0.49 tff(205,plain,
% 0.21/0.49 (gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[204, 201, 194])).
% 0.21/0.49 tff(206,plain,
% 0.21/0.49 (((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1)) | (~gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1))))) <=> ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1)) | (~gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1))))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(207,plain,
% 0.21/0.49 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1)) | (~gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(208,plain,
% 0.21/0.49 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1)) | (~gt(plus(wr_level(x_139), n1), minus(plus(wr_level(x_139), n1), n1)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.21/0.49 tff(209,plain,
% 0.21/0.49 (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[208, 159, 205])).
% 0.21/0.49 tff(210,plain,
% 0.21/0.49 (wr_level(x_139) = minus(plus(wr_level(x_139), n1), n1)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[209, 185])).
% 0.21/0.49 tff(211,plain,
% 0.21/0.49 (minus(plus(wr_level(x_139), n1), n1) = wr_level(x_139)),
% 0.21/0.49 inference(symmetry,[status(thm)],[210])).
% 0.21/0.49 tff(212,plain,
% 0.21/0.49 (wr_level(x_139) = minus(fifo_length, n1)),
% 0.21/0.49 inference(transitivity,[status(thm)],[210, 169])).
% 0.21/0.49 tff(213,plain,
% 0.21/0.49 (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) <=> gt(minus(fifo_length, n1), wr_level(x_139))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[212, 211])).
% 0.21/0.49 tff(214,plain,
% 0.21/0.49 (gt(minus(fifo_length, n1), wr_level(x_139)) <=> gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(symmetry,[status(thm)],[213])).
% 0.21/0.49 tff(215,plain,
% 0.21/0.49 (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[172, 214])).
% 0.21/0.49 tff(216,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[185, 215])).
% 0.21/0.49 tff(217,plain,(gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)) | (~gt(minus(fifo_length, n1), wr_level(x_139))) | (~(fifo_length = plus(wr_level(x_139), n1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(218,plain,
% 0.21/0.49 (gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[217, 172, 167])).
% 0.21/0.49 tff(219,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(220,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(221,plain,
% 0.21/0.49 (^[Z_21: $i, Y_20: $i, X_19: $i] : rewrite((((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(222,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19))) <=> ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[221])).
% 0.21/0.49 tff(223,axiom,(![Z_21: $i, Y_20: $i, X_19: $i] : (((~gt(Z_21, Y_20)) | gt(Z_21, X_19)) | (~gt(Y_20, X_19)))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_13')).
% 0.21/0.49 tff(224,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.21/0.49 tff(225,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[224, 220])).
% 0.21/0.49 tff(226,plain,(
% 0.21/0.49 ![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(skolemize,[status(sab)],[225])).
% 0.21/0.49 tff(227,plain,
% 0.21/0.49 (![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[226, 219])).
% 0.21/0.49 tff(228,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(229,plain,
% 0.21/0.49 (((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1)))) <=> ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(230,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[229])).
% 0.21/0.49 tff(231,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(transitivity,[status(thm)],[230, 228])).
% 0.21/0.49 tff(232,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(233,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(minus(plus(wr_level(x_139), n1), n1), wr_level(x_139))) | (~gt(wr_level(x_139), minus(plus(wr_level(x_139), n1), n1))) | gt(wr_level(x_139), wr_level(x_139))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[232, 231])).
% 0.21/0.49 tff(234,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[233, 227, 218, 184, 173])).
% 0.21/0.49 tff(235,plain,((~gt(minus(fifo_length, n1), wr_level(x_139))) | (~(fifo_length = plus(wr_level(x_139), n1)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(236,plain,
% 0.21/0.49 (~gt(minus(fifo_length, n1), wr_level(x_139))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[235, 166])).
% 0.21/0.49 tff(237,plain,
% 0.21/0.49 (~p_Rd(x_139)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[81, 236, 27, 42, 15])).
% 0.21/0.49 tff(238,plain,
% 0.21/0.49 (~gt(fifo_length, int_level(x_139))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[133, 236, 27, 15, 42, 237])).
% 0.21/0.49 tff(239,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[98, 238, 237, 27, 42, 14])).
% 0.21/0.49 tff(240,plain,(wr_level(plus(x_139, n1)) = n0), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(241,assumption,(wr_level(plus(x_139, n1)) = n0), introduced(assumption)).
% 0.21/0.49 tff(242,plain,
% 0.21/0.49 (n0 = wr_level(plus(x_139, n1))),
% 0.21/0.49 inference(symmetry,[status(thm)],[241])).
% 0.21/0.49 tff(243,plain,
% 0.21/0.49 (gt(n0, wr_level(x_139)) <=> gt(wr_level(plus(x_139, n1)), wr_level(x_139))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[242])).
% 0.21/0.49 tff(244,plain,
% 0.21/0.49 (gt(wr_level(plus(x_139, n1)), wr_level(x_139)) <=> gt(n0, wr_level(x_139))),
% 0.21/0.49 inference(symmetry,[status(thm)],[243])).
% 0.21/0.49 tff(245,assumption,(gt(wr_level(plus(x_139, n1)), wr_level(x_139))), introduced(assumption)).
% 0.21/0.49 tff(246,plain,
% 0.21/0.49 (gt(n0, wr_level(x_139))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.21/0.49 tff(247,assumption,(~gt(wr_level(x_139), wr_level(x_139))), introduced(assumption)).
% 0.21/0.49 tff(248,plain,
% 0.21/0.49 ((wr_level(x_139) = wr_level(plus(x_139, n1))) <=> (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.49 inference(commutativity,[status(thm)],[])).
% 0.21/0.49 tff(249,plain,
% 0.21/0.49 ((wr_level(x_139) = n0) <=> (wr_level(x_139) = wr_level(plus(x_139, n1)))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[242])).
% 0.21/0.49 tff(250,plain,
% 0.21/0.49 ((wr_level(x_139) = n0) <=> (wr_level(plus(x_139, n1)) = wr_level(x_139))),
% 0.21/0.49 inference(transitivity,[status(thm)],[249, 248])).
% 0.21/0.49 tff(251,plain,
% 0.21/0.49 ((wr_level(plus(x_139, n1)) = wr_level(x_139)) <=> (wr_level(x_139) = n0)),
% 0.21/0.49 inference(symmetry,[status(thm)],[250])).
% 0.21/0.49 tff(252,plain,
% 0.21/0.49 ((~(wr_level(plus(x_139, n1)) = wr_level(x_139))) <=> (~(wr_level(x_139) = n0))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[251])).
% 0.21/0.49 tff(253,assumption,(~(wr_level(plus(x_139, n1)) = wr_level(x_139))), introduced(assumption)).
% 0.21/0.49 tff(254,plain,
% 0.21/0.49 (~(wr_level(x_139) = n0)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.21/0.49 tff(255,plain,
% 0.21/0.49 (((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(x_139), n0) | (wr_level(x_139) = n0) | (~gt(plus(wr_level(x_139), n1), n0)))) <=> ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(x_139), n0) | (wr_level(x_139) = n0) | (~gt(plus(wr_level(x_139), n1), n0)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(256,plain,
% 0.21/0.49 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | (gt(wr_level(x_139), n0) | (wr_level(x_139) = n0) | (~gt(plus(wr_level(x_139), n1), n0)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(257,plain,
% 0.21/0.49 ((~![Y_16: $i, X_15: $i] : (gt(X_15, Y_16) | (X_15 = Y_16) | (~gt(plus(X_15, n1), Y_16)))) | gt(wr_level(x_139), n0) | (wr_level(x_139) = n0) | (~gt(plus(wr_level(x_139), n1), n0))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.21/0.49 tff(258,plain,
% 0.21/0.49 (gt(wr_level(x_139), n0) | (wr_level(x_139) = n0)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[257, 159, 194])).
% 0.21/0.49 tff(259,plain,
% 0.21/0.49 (gt(wr_level(x_139), n0)),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[258, 254])).
% 0.21/0.49 tff(260,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(261,plain,
% 0.21/0.49 (((~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), n0))) <=> ((~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(262,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), n0)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139))))),
% 0.21/0.49 inference(monotonicity,[status(thm)],[261])).
% 0.21/0.49 tff(263,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), n0)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)))),
% 0.21/0.49 inference(transitivity,[status(thm)],[262, 260])).
% 0.21/0.49 tff(264,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(x_139), n0)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(265,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(wr_level(x_139), n0)) | (~gt(n0, wr_level(x_139))) | gt(wr_level(x_139), wr_level(x_139))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.21/0.49 tff(266,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[265, 227, 259, 247, 246])).
% 0.21/0.49 tff(267,plain,((~(wr_level(plus(x_139, n1)) = n0)) | gt(wr_level(x_139), wr_level(x_139)) | (~gt(wr_level(plus(x_139, n1)), wr_level(x_139))) | (wr_level(plus(x_139, n1)) = wr_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(268,plain,
% 0.21/0.49 (~gt(wr_level(plus(x_139, n1)), wr_level(x_139))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[267, 240, 14, 184])).
% 0.21/0.49 tff(269,plain,
% 0.21/0.49 (plus(wr_level(plus(x_139, n1)), n1) = plus(n0, n1)),
% 0.21/0.49 inference(monotonicity,[status(thm)],[241])).
% 0.21/0.49 tff(270,plain,
% 0.21/0.49 (plus(n0, n1) = plus(wr_level(plus(x_139, n1)), n1)),
% 0.21/0.49 inference(symmetry,[status(thm)],[269])).
% 0.21/0.49 tff(271,plain,
% 0.21/0.49 (gt(plus(n0, n1), fifo_length) <=> gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.49 inference(monotonicity,[status(thm)],[270])).
% 0.21/0.49 tff(272,plain,
% 0.21/0.49 (gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length) <=> gt(plus(n0, n1), fifo_length)),
% 0.21/0.49 inference(symmetry,[status(thm)],[271])).
% 0.21/0.49 tff(273,plain,
% 0.21/0.49 (gt(plus(n0, n1), fifo_length)),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[12, 272])).
% 0.21/0.49 tff(274,assumption,(~gt(plus(n0, n1), plus(wr_level(x_139), n1))), introduced(assumption)).
% 0.21/0.49 tff(275,assumption,(gt(plus(n0, n1), fifo_length)), introduced(assumption)).
% 0.21/0.49 tff(276,assumption,(gt(fifo_length, plus(wr_level(x_139), n1))), introduced(assumption)).
% 0.21/0.49 tff(277,plain,
% 0.21/0.49 (((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, plus(wr_level(x_139), n1))) | gt(plus(n0, n1), plus(wr_level(x_139), n1)) | (~gt(plus(n0, n1), fifo_length)))) <=> ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(fifo_length, plus(wr_level(x_139), n1))) | gt(plus(n0, n1), plus(wr_level(x_139), n1)) | (~gt(plus(n0, n1), fifo_length)))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(278,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | ((~gt(fifo_length, plus(wr_level(x_139), n1))) | gt(plus(n0, n1), plus(wr_level(x_139), n1)) | (~gt(plus(n0, n1), fifo_length)))),
% 0.21/0.49 inference(quant_inst,[status(thm)],[])).
% 0.21/0.49 tff(279,plain,
% 0.21/0.49 ((~![Z_21: $i, Y_20: $i, X_19: $i] : ((~gt(Y_20, X_19)) | gt(Z_21, X_19) | (~gt(Z_21, Y_20)))) | (~gt(fifo_length, plus(wr_level(x_139), n1))) | gt(plus(n0, n1), plus(wr_level(x_139), n1)) | (~gt(plus(n0, n1), fifo_length))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.21/0.49 tff(280,plain,
% 0.21/0.49 ($false),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[279, 227, 276, 275, 274])).
% 0.21/0.49 tff(281,plain,((~gt(fifo_length, plus(wr_level(x_139), n1))) | (~gt(plus(n0, n1), fifo_length)) | gt(plus(n0, n1), plus(wr_level(x_139), n1))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.49 tff(282,plain,
% 0.21/0.49 (~gt(fifo_length, plus(wr_level(x_139), n1))),
% 0.21/0.49 inference(unit_resolution,[status(thm)],[281, 274, 273])).
% 0.21/0.49 tff(283,plain,
% 0.21/0.49 (^[Y_18: $i, X_17: $i] : refl((gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(284,plain,
% 0.21/0.49 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[283])).
% 0.21/0.49 tff(285,plain,
% 0.21/0.49 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(rewrite,[status(thm)],[])).
% 0.21/0.49 tff(286,plain,
% 0.21/0.49 (^[Y_18: $i, X_17: $i] : trans(monotonicity(rewrite((gt(Y_18, X_17) | (X_17 = Y_18)) <=> ((X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)))), rewrite((((X_17 = Y_18) | gt(Y_18, X_17)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))), (((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))))),
% 0.21/0.49 inference(bind,[status(th)],[])).
% 0.21/0.49 tff(287,plain,
% 0.21/0.49 (![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18)) <=> ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(quant_intro,[status(thm)],[286])).
% 0.21/0.49 tff(288,axiom,(![Y_18: $i, X_17: $i] : ((gt(Y_18, X_17) | (X_17 = Y_18)) | gt(X_17, Y_18))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_12')).
% 0.21/0.49 tff(289,plain,
% 0.21/0.49 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.21/0.49 tff(290,plain,
% 0.21/0.49 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(modus_ponens,[status(thm)],[289, 285])).
% 0.21/0.49 tff(291,plain,(
% 0.21/0.49 ![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.49 inference(skolemize,[status(sab)],[290])).
% 0.21/0.50 tff(292,plain,
% 0.21/0.50 (![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[291, 284])).
% 0.21/0.50 tff(293,plain,
% 0.21/0.50 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(294,plain,
% 0.21/0.50 ((gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)) | gt(plus(wr_level(x_139), n1), fifo_length)) <=> (gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(295,plain,
% 0.21/0.50 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)) | gt(plus(wr_level(x_139), n1), fifo_length))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[294])).
% 0.21/0.50 tff(296,plain,
% 0.21/0.50 (((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)) | gt(plus(wr_level(x_139), n1), fifo_length))) <=> ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[295, 293])).
% 0.21/0.50 tff(297,plain,
% 0.21/0.50 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | (gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1)) | gt(plus(wr_level(x_139), n1), fifo_length))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(298,plain,
% 0.21/0.50 ((~![Y_18: $i, X_17: $i] : (gt(X_17, Y_18) | (X_17 = Y_18) | gt(Y_18, X_17))) | gt(plus(wr_level(x_139), n1), fifo_length) | gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.21/0.50 tff(299,plain,
% 0.21/0.50 (gt(fifo_length, plus(wr_level(x_139), n1)) | (fifo_length = plus(wr_level(x_139), n1))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[298, 292, 8])).
% 0.21/0.50 tff(300,plain,
% 0.21/0.50 (fifo_length = plus(wr_level(x_139), n1)),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[299, 282])).
% 0.21/0.50 tff(301,plain,
% 0.21/0.50 (plus(wr_level(x_139), n1) = fifo_length),
% 0.21/0.50 inference(symmetry,[status(thm)],[300])).
% 0.21/0.50 tff(302,plain,
% 0.21/0.50 (gt(plus(n0, n1), plus(wr_level(x_139), n1)) <=> gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length)),
% 0.21/0.50 inference(monotonicity,[status(thm)],[270, 301])).
% 0.21/0.50 tff(303,plain,
% 0.21/0.50 (gt(plus(wr_level(plus(x_139, n1)), n1), fifo_length) <=> gt(plus(n0, n1), plus(wr_level(x_139), n1))),
% 0.21/0.50 inference(symmetry,[status(thm)],[302])).
% 0.21/0.50 tff(304,plain,
% 0.21/0.50 (gt(plus(n0, n1), plus(wr_level(x_139), n1))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[12, 303])).
% 0.21/0.50 tff(305,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[274, 304])).
% 0.21/0.50 tff(306,plain,(gt(plus(n0, n1), plus(wr_level(x_139), n1)) | (~(wr_level(plus(x_139, n1)) = n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(307,plain,
% 0.21/0.50 (gt(plus(n0, n1), plus(wr_level(x_139), n1))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[306, 240])).
% 0.21/0.50 tff(308,assumption,(gt(plus(n0, n1), plus(wr_level(x_139), n1))), introduced(assumption)).
% 0.21/0.50 tff(309,assumption,(~gt(n0, wr_level(x_139))), introduced(assumption)).
% 0.21/0.50 tff(310,plain,
% 0.21/0.50 (^[X_11: $i, Y_12: $i] : refl((gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))))),
% 0.21/0.50 inference(bind,[status(th)],[])).
% 0.21/0.50 tff(311,plain,
% 0.21/0.50 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.21/0.50 inference(quant_intro,[status(thm)],[310])).
% 0.21/0.50 tff(312,plain,
% 0.21/0.50 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1)))) <=> ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(313,axiom,(![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/HWV003-0.ax','axiom_9')).
% 0.21/0.50 tff(314,plain,
% 0.21/0.50 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.21/0.50 tff(315,plain,(
% 0.21/0.50 ![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.21/0.50 inference(skolemize,[status(sab)],[314])).
% 0.21/0.50 tff(316,plain,
% 0.21/0.50 (![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[315, 311])).
% 0.21/0.50 tff(317,plain,
% 0.21/0.50 (((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | ((~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139)))) <=> ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(318,plain,
% 0.21/0.50 ((gt(n0, wr_level(x_139)) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1)))) <=> ((~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139)))),
% 0.21/0.50 inference(rewrite,[status(thm)],[])).
% 0.21/0.50 tff(319,plain,
% 0.21/0.50 (((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (gt(n0, wr_level(x_139)) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))))) <=> ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | ((~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139))))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[318])).
% 0.21/0.50 tff(320,plain,
% 0.21/0.50 (((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (gt(n0, wr_level(x_139)) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))))) <=> ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139)))),
% 0.21/0.50 inference(transitivity,[status(thm)],[319, 317])).
% 0.21/0.50 tff(321,plain,
% 0.21/0.50 ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (gt(n0, wr_level(x_139)) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))))),
% 0.21/0.50 inference(quant_inst,[status(thm)],[])).
% 0.21/0.50 tff(322,plain,
% 0.21/0.50 ((~![X_11: $i, Y_12: $i] : (gt(Y_12, X_11) | (~gt(plus(Y_12, n1), plus(X_11, n1))))) | (~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[321, 320])).
% 0.21/0.50 tff(323,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[322, 316, 309, 308])).
% 0.21/0.50 tff(324,plain,((~gt(plus(n0, n1), plus(wr_level(x_139), n1))) | gt(n0, wr_level(x_139))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(325,plain,
% 0.21/0.50 (gt(n0, wr_level(x_139))),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[324, 307])).
% 0.21/0.50 tff(326,plain,
% 0.21/0.50 ((~gt(wr_level(plus(x_139, n1)), wr_level(x_139))) <=> (~gt(n0, wr_level(x_139)))),
% 0.21/0.50 inference(monotonicity,[status(thm)],[244])).
% 0.21/0.50 tff(327,assumption,(~gt(wr_level(plus(x_139, n1)), wr_level(x_139))), introduced(assumption)).
% 0.21/0.50 tff(328,plain,
% 0.21/0.50 (~gt(n0, wr_level(x_139))),
% 0.21/0.50 inference(modus_ponens,[status(thm)],[327, 326])).
% 0.21/0.50 tff(329,assumption,(gt(n0, wr_level(x_139))), introduced(assumption)).
% 0.21/0.50 tff(330,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[329, 328])).
% 0.21/0.50 tff(331,plain,((~gt(n0, wr_level(x_139))) | gt(wr_level(plus(x_139, n1)), wr_level(x_139)) | (~(wr_level(plus(x_139, n1)) = n0))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.50 tff(332,plain,
% 0.21/0.50 ($false),
% 0.21/0.50 inference(unit_resolution,[status(thm)],[331, 325, 268, 240])).
% 0.21/0.50 % SZS output end Proof
%------------------------------------------------------------------------------