TSTP Solution File: GEO231+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 : Fri Sep 16 20:35:55 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Aug 31 07:06:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(left_convergent_lines_type, type, (
% 0.19/0.43 left_convergent_lines: ( $i * $i ) > $o)).
% 0.19/0.43 tff(tptp_fun_N_0_type, type, (
% 0.19/0.43 tptp_fun_N_0: $i)).
% 0.19/0.43 tff(tptp_fun_M_1_type, type, (
% 0.19/0.43 tptp_fun_M_1: $i)).
% 0.19/0.43 tff(reverse_line_type, type, (
% 0.19/0.43 reverse_line: $i > $i)).
% 0.19/0.43 tff(unequally_directed_lines_type, type, (
% 0.19/0.43 unequally_directed_lines: ( $i * $i ) > $o)).
% 0.19/0.43 tff(tptp_fun_L_2_type, type, (
% 0.19/0.43 tptp_fun_L_2: $i)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 (^[L: $i, M: $i] : refl((~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(4,axiom,(![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag11')).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.43 tff(6,plain,(
% 0.19/0.43 ![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.43 inference(skolemize,[status(sab)],[5])).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 ((~![L: $i, M: $i] : (~(left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))) | (~(left_convergent_lines(M!1, N!0) | left_convergent_lines(M!1, reverse_line(N!0))))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 (~(left_convergent_lines(M!1, N!0) | left_convergent_lines(M!1, reverse_line(N!0)))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.43 tff(10,plain,
% 0.19/0.43 ((left_convergent_lines(M!1, N!0) | left_convergent_lines(M!1, reverse_line(N!0))) | (~left_convergent_lines(M!1, N!0))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(11,plain,
% 0.19/0.43 (~left_convergent_lines(M!1, N!0)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.19/0.43 tff(12,plain,
% 0.19/0.43 ((left_convergent_lines(M!1, N!0) | left_convergent_lines(M!1, reverse_line(N!0))) | (~left_convergent_lines(M!1, reverse_line(N!0)))),
% 0.19/0.43 inference(tautology,[status(thm)],[])).
% 0.19/0.43 tff(13,plain,
% 0.19/0.43 (~left_convergent_lines(M!1, reverse_line(N!0))),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[12, 9])).
% 0.19/0.43 tff(14,assumption,(~unequally_directed_lines(M!1, N!0)), introduced(assumption)).
% 0.19/0.43 tff(15,plain,
% 0.19/0.43 (^[L: $i, M: $i, N: $i] : refl((unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M))) <=> (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M))) <=> ![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.43 tff(17,plain,
% 0.19/0.43 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M))) <=> ![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (^[L: $i, M: $i, N: $i] : trans(monotonicity(rewrite((unequally_directed_lines(L, N) | unequally_directed_lines(M, N)) <=> (unequally_directed_lines(M, N) | unequally_directed_lines(L, N))), ((unequally_directed_lines(L, M) => (unequally_directed_lines(L, N) | unequally_directed_lines(M, N))) <=> (unequally_directed_lines(L, M) => (unequally_directed_lines(M, N) | unequally_directed_lines(L, N))))), rewrite((unequally_directed_lines(L, M) => (unequally_directed_lines(M, N) | unequally_directed_lines(L, N))) <=> (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))), ((unequally_directed_lines(L, M) => (unequally_directed_lines(L, N) | unequally_directed_lines(M, N))) <=> (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(19,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(L, M) => (unequally_directed_lines(L, N) | unequally_directed_lines(M, N))) <=> ![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[18])).
% 0.19/0.44 tff(20,axiom,(![L: $i, M: $i, N: $i] : (unequally_directed_lines(L, M) => (unequally_directed_lines(L, N) | unequally_directed_lines(M, N)))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag6')).
% 0.19/0.44 tff(21,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.44 tff(22,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.19/0.44 tff(23,plain,(
% 0.19/0.44 ![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.44 inference(skolemize,[status(sab)],[22])).
% 0.19/0.44 tff(24,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.19/0.44 tff(25,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(26,plain,
% 0.19/0.44 ((unequally_directed_lines(M!1, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1))) <=> (unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(27,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.44 tff(28,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))),
% 0.19/0.44 inference(transitivity,[status(thm)],[27, 25])).
% 0.19/0.44 tff(29,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(30,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, M!1))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.19/0.44 tff(31,plain,
% 0.19/0.44 (~unequally_directed_lines(M!1, M!1)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[30, 24, 14])).
% 0.19/0.44 tff(32,assumption,(~unequally_directed_lines(reverse_line(N!0), M!1)), introduced(assumption)).
% 0.19/0.44 tff(33,assumption,(~unequally_directed_lines(M!1, M!1)), introduced(assumption)).
% 0.19/0.44 tff(34,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))) <=> (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(35,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N))) => (~unequally_directed_lines(M, reverse_line(N))))) <=> (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N))))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(36,axiom,(~![L: $i, M: $i, N: $i] : (((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N))) => (~unequally_directed_lines(M, reverse_line(N))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','con')).
% 0.19/0.44 tff(37,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.19/0.44 tff(38,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.19/0.44 tff(39,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.19/0.44 tff(40,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[39, 34])).
% 0.19/0.44 tff(41,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[40, 34])).
% 0.19/0.44 tff(42,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.19/0.44 tff(43,plain,
% 0.19/0.44 (~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(M, reverse_line(N))) | (~((~unequally_directed_lines(L, reverse_line(M))) & (~unequally_directed_lines(L, N)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[42, 34])).
% 0.19/0.44 tff(44,plain,(
% 0.19/0.44 ~((~unequally_directed_lines(M!1, reverse_line(N!0))) | (~((~unequally_directed_lines(L!2, reverse_line(M!1))) & (~unequally_directed_lines(L!2, N!0)))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[43])).
% 0.19/0.44 tff(45,plain,
% 0.19/0.44 (unequally_directed_lines(M!1, reverse_line(N!0))),
% 0.19/0.44 inference(or_elim,[status(thm)],[44])).
% 0.19/0.44 tff(46,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | ((~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(47,plain,
% 0.19/0.44 ((unequally_directed_lines(reverse_line(N!0), M!1) | unequally_directed_lines(M!1, M!1) | (~unequally_directed_lines(M!1, reverse_line(N!0)))) <=> ((~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(48,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(reverse_line(N!0), M!1) | unequally_directed_lines(M!1, M!1) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | ((~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1)))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[47])).
% 0.19/0.44 tff(49,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(reverse_line(N!0), M!1) | unequally_directed_lines(M!1, M!1) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1))),
% 0.19/0.44 inference(transitivity,[status(thm)],[48, 46])).
% 0.19/0.44 tff(50,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(reverse_line(N!0), M!1) | unequally_directed_lines(M!1, M!1) | (~unequally_directed_lines(M!1, reverse_line(N!0))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(51,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | unequally_directed_lines(M!1, M!1) | unequally_directed_lines(reverse_line(N!0), M!1)),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.19/0.44 tff(52,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[51, 24, 45, 33, 32])).
% 0.19/0.44 tff(53,plain,(unequally_directed_lines(reverse_line(N!0), M!1) | unequally_directed_lines(M!1, M!1)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(54,plain,
% 0.19/0.44 (unequally_directed_lines(reverse_line(N!0), M!1)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[53, 31])).
% 0.19/0.44 tff(55,plain,
% 0.19/0.44 (((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0)))) | unequally_directed_lines(M!1, N!0)),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(56,plain,
% 0.19/0.44 ((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[55, 14])).
% 0.19/0.44 tff(57,assumption,(unequally_directed_lines(reverse_line(N!0), M!1)), introduced(assumption)).
% 0.19/0.44 tff(58,assumption,(unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))), introduced(assumption)).
% 0.19/0.44 tff(59,plain,
% 0.19/0.44 (^[L: $i] : refl((~unequally_directed_lines(L, L)) <=> (~unequally_directed_lines(L, L)))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(60,plain,
% 0.19/0.44 (![L: $i] : (~unequally_directed_lines(L, L)) <=> ![L: $i] : (~unequally_directed_lines(L, L))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[59])).
% 0.19/0.44 tff(61,plain,
% 0.19/0.44 (![L: $i] : (~unequally_directed_lines(L, L)) <=> ![L: $i] : (~unequally_directed_lines(L, L))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(62,axiom,(![L: $i] : (~unequally_directed_lines(L, L))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag5')).
% 0.19/0.44 tff(63,plain,
% 0.19/0.44 (![L: $i] : (~unequally_directed_lines(L, L))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.19/0.44 tff(64,plain,(
% 0.19/0.44 ![L: $i] : (~unequally_directed_lines(L, L))),
% 0.19/0.44 inference(skolemize,[status(sab)],[63])).
% 0.19/0.44 tff(65,plain,
% 0.19/0.44 (![L: $i] : (~unequally_directed_lines(L, L))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.19/0.44 tff(66,plain,
% 0.19/0.44 ((~![L: $i] : (~unequally_directed_lines(L, L))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(67,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[66, 65, 58])).
% 0.19/0.44 tff(68,plain,(~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(69,plain,
% 0.19/0.44 (((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0)))) | unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))),
% 0.19/0.44 inference(tautology,[status(thm)],[])).
% 0.19/0.44 tff(70,plain,
% 0.19/0.44 ((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0)))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.19/0.44 tff(71,assumption,(unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))), introduced(assumption)).
% 0.19/0.44 tff(72,assumption,((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0)))), introduced(assumption)).
% 0.19/0.44 tff(73,plain,
% 0.19/0.44 (^[L: $i, M: $i, N: $i] : refl(((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N)))))) <=> ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N)))))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(74,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N)))))) <=> ![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[73])).
% 0.19/0.44 tff(75,plain,
% 0.19/0.44 (^[L: $i, M: $i, N: $i] : trans(monotonicity(rewrite((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) <=> (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N)))))), rewrite((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) <=> (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N)))))), trans(monotonicity(rewrite((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))), ((~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> (~(~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))))), rewrite((~(~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))), ((~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))), (((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ((~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))) | ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))), rewrite(((~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))) | ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))) <=> ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))), (((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(76,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[75])).
% 0.19/0.44 tff(77,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(78,plain,
% 0.19/0.44 (^[L: $i, M: $i, N: $i] : trans(monotonicity(rewrite(((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N)))) <=> ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))))), (((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))))) <=> ((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))))))), rewrite(((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))))) <=> ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))), (((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))))) <=> ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))))),
% 0.19/0.44 inference(bind,[status(th)],[])).
% 0.19/0.44 tff(79,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))))) <=> ![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.44 inference(quant_intro,[status(thm)],[78])).
% 0.19/0.44 tff(80,axiom,(![L: $i, M: $i, N: $i] : ((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => ((unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N)))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag7')).
% 0.19/0.44 tff(81,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.44 tff(82,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.19/0.44 tff(83,plain,(
% 0.19/0.44 ![L: $i, M: $i, N: $i] : ((unequally_directed_lines(M, N) & unequally_directed_lines(M, reverse_line(N))) | (unequally_directed_lines(L, N) & unequally_directed_lines(L, reverse_line(N))) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.44 inference(skolemize,[status(sab)],[82])).
% 0.19/0.44 tff(84,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[83, 76])).
% 0.19/0.44 tff(85,plain,
% 0.19/0.44 (![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[84, 74])).
% 0.19/0.44 tff(86,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | ((~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1)))) <=> ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(87,plain,
% 0.19/0.44 (((~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0)))))) <=> ((~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(88,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | ((~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))))) <=> ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | ((~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[87])).
% 0.19/0.44 tff(89,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | ((~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))))) <=> ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1)))),
% 0.19/0.44 inference(transitivity,[status(thm)],[88, 86])).
% 0.19/0.44 tff(90,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | ((~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(91,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : ((~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)) | (~((~unequally_directed_lines(M, N)) | (~unequally_directed_lines(M, reverse_line(N))))) | (~((~unequally_directed_lines(L, N)) | (~unequally_directed_lines(L, reverse_line(N))))))) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(reverse_line(N!0), N!0)) | (~unequally_directed_lines(reverse_line(N!0), reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.19/0.44 tff(92,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[91, 85, 72, 71, 70, 57])).
% 0.19/0.44 tff(93,plain,((~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))) | (~((~unequally_directed_lines(M!1, N!0)) | (~unequally_directed_lines(M!1, reverse_line(N!0))))) | (~unequally_directed_lines(reverse_line(N!0), M!1))), inference(lemma,lemma(discharge,[]))).
% 0.19/0.44 tff(94,plain,
% 0.19/0.44 (~unequally_directed_lines(reverse_line(N!0), reverse_line(M!1))),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[93, 56, 54])).
% 0.19/0.44 tff(95,plain,
% 0.19/0.44 ((~unequally_directed_lines(L!2, reverse_line(M!1))) & (~unequally_directed_lines(L!2, N!0))),
% 0.19/0.44 inference(or_elim,[status(thm)],[44])).
% 0.19/0.44 tff(96,plain,
% 0.19/0.44 (~unequally_directed_lines(L!2, reverse_line(M!1))),
% 0.19/0.44 inference(and_elim,[status(thm)],[95])).
% 0.19/0.44 tff(97,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(L!2, reverse_line(M!1)) | unequally_directed_lines(reverse_line(N!0), reverse_line(M!1)) | (~unequally_directed_lines(reverse_line(N!0), L!2)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(L!2, reverse_line(M!1)) | unequally_directed_lines(reverse_line(N!0), reverse_line(M!1)) | (~unequally_directed_lines(reverse_line(N!0), L!2)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(98,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(L!2, reverse_line(M!1)) | unequally_directed_lines(reverse_line(N!0), reverse_line(M!1)) | (~unequally_directed_lines(reverse_line(N!0), L!2)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(99,plain,
% 0.19/0.44 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(L!2, reverse_line(M!1)) | unequally_directed_lines(reverse_line(N!0), reverse_line(M!1)) | (~unequally_directed_lines(reverse_line(N!0), L!2))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.44 tff(100,plain,
% 0.19/0.44 (~unequally_directed_lines(reverse_line(N!0), L!2)),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[99, 24, 96, 94])).
% 0.19/0.44 tff(101,plain,
% 0.19/0.44 (~unequally_directed_lines(L!2, N!0)),
% 0.19/0.44 inference(and_elim,[status(thm)],[95])).
% 0.19/0.44 tff(102,plain,
% 0.19/0.44 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(L!2, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, L!2)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(L!2, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, L!2)))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(103,plain,
% 0.19/0.45 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(L!2, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, L!2)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(104,plain,
% 0.19/0.45 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(L!2, N!0) | unequally_directed_lines(M!1, N!0) | (~unequally_directed_lines(M!1, L!2))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.19/0.45 tff(105,plain,
% 0.19/0.45 (~unequally_directed_lines(M!1, L!2)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[104, 24, 101, 14])).
% 0.19/0.45 tff(106,plain,
% 0.19/0.45 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(107,plain,
% 0.19/0.45 ((unequally_directed_lines(M!1, L!2) | unequally_directed_lines(reverse_line(N!0), L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1))) <=> (unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(108,plain,
% 0.19/0.45 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, L!2) | unequally_directed_lines(reverse_line(N!0), L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[107])).
% 0.19/0.45 tff(109,plain,
% 0.19/0.45 (((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, L!2) | unequally_directed_lines(reverse_line(N!0), L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)))) <=> ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2))),
% 0.19/0.45 inference(transitivity,[status(thm)],[108, 106])).
% 0.19/0.45 tff(110,plain,
% 0.19/0.45 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | (unequally_directed_lines(M!1, L!2) | unequally_directed_lines(reverse_line(N!0), L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(111,plain,
% 0.19/0.45 ((~![L: $i, M: $i, N: $i] : (unequally_directed_lines(M, N) | unequally_directed_lines(L, N) | (~unequally_directed_lines(L, M)))) | unequally_directed_lines(M!1, L!2) | (~unequally_directed_lines(reverse_line(N!0), M!1)) | unequally_directed_lines(reverse_line(N!0), L!2)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.19/0.45 tff(112,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[111, 24, 105, 54, 100])).
% 0.19/0.45 tff(113,plain,(unequally_directed_lines(M!1, N!0)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.45 tff(114,plain,
% 0.19/0.45 (^[L: $i, M: $i] : refl((left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M))) <=> (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(115,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M))) <=> ![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[114])).
% 0.19/0.45 tff(116,plain,
% 0.19/0.45 (^[L: $i, M: $i] : trans(monotonicity(trans(monotonicity(rewrite((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) <=> (~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))), ((~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> (~(~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))))), rewrite((~(~((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))), ((~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))) <=> ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M)))))), ((left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))))), rewrite((left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | ((~unequally_directed_lines(L, M)) | (~unequally_directed_lines(L, reverse_line(M))))) <=> (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))), ((left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(117,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[116])).
% 0.19/0.45 tff(118,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))) <=> ![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(119,plain,
% 0.19/0.45 (^[L: $i, M: $i] : rewrite(((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => (left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))))))),
% 0.19/0.45 inference(bind,[status(th)],[])).
% 0.19/0.45 tff(120,plain,
% 0.19/0.45 (![L: $i, M: $i] : ((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => (left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M)))) <=> ![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.45 inference(quant_intro,[status(thm)],[119])).
% 0.19/0.45 tff(121,axiom,(![L: $i, M: $i] : ((unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M))) => (left_convergent_lines(L, M) | left_convergent_lines(L, reverse_line(M))))), file('/export/starexec/sandbox2/benchmark/Axioms/GEO007+0.ax','oag9')).
% 0.19/0.45 tff(122,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.19/0.45 tff(123,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.19/0.45 tff(124,plain,(
% 0.19/0.45 ![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~(unequally_directed_lines(L, M) & unequally_directed_lines(L, reverse_line(M)))))),
% 0.19/0.45 inference(skolemize,[status(sab)],[123])).
% 0.19/0.45 tff(125,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.19/0.45 tff(126,plain,
% 0.19/0.45 (![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[125, 115])).
% 0.19/0.45 tff(127,plain,
% 0.19/0.45 (((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | ((~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0))) <=> ((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(128,plain,
% 0.19/0.45 ((left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0))) <=> ((~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0))),
% 0.19/0.45 inference(rewrite,[status(thm)],[])).
% 0.19/0.45 tff(129,plain,
% 0.19/0.45 (((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)))) <=> ((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | ((~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0)))),
% 0.19/0.45 inference(monotonicity,[status(thm)],[128])).
% 0.19/0.45 tff(130,plain,
% 0.19/0.45 (((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)))) <=> ((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0))),
% 0.19/0.45 inference(transitivity,[status(thm)],[129, 127])).
% 0.19/0.45 tff(131,plain,
% 0.19/0.45 ((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)))),
% 0.19/0.45 inference(quant_inst,[status(thm)],[])).
% 0.19/0.45 tff(132,plain,
% 0.19/0.45 ((~![L: $i, M: $i] : (left_convergent_lines(L, reverse_line(M)) | left_convergent_lines(L, M) | (~unequally_directed_lines(L, reverse_line(M))) | (~unequally_directed_lines(L, M)))) | (~unequally_directed_lines(M!1, reverse_line(N!0))) | (~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0)),
% 0.19/0.45 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.19/0.45 tff(133,plain,
% 0.19/0.45 ((~unequally_directed_lines(M!1, N!0)) | left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[132, 126, 45])).
% 0.19/0.45 tff(134,plain,
% 0.19/0.45 (left_convergent_lines(M!1, reverse_line(N!0)) | left_convergent_lines(M!1, N!0)),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[133, 113])).
% 0.19/0.45 tff(135,plain,
% 0.19/0.45 ($false),
% 0.19/0.45 inference(unit_resolution,[status(thm)],[134, 13, 11])).
% 0.19/0.45 % SZS output end Proof
%------------------------------------------------------------------------------