TSTP Solution File: SWW834_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW834_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 : Thu Sep 29 21:00:02 EDT 2022
% Result : Unsatisfiable 1.69s 1.35s
% Output : Proof 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW834_1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 21:41:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 1.69/1.35 % SZS status Unsatisfiable
% 1.69/1.35 % SZS output start Proof
% 1.69/1.35 tff(tptp_fun_A__questionmark_v_0_1_0_type, type, (
% 1.69/1.35 tptp_fun_A__questionmark_v_0_1_0: $real)).
% 1.69/1.35 tff(f5_type, type, (
% 1.69/1.35 f5: $real)).
% 1.69/1.35 tff(f7_type, type, (
% 1.69/1.35 f7: $real)).
% 1.69/1.35 tff(f3_type, type, (
% 1.69/1.35 f3: ( 'S2' * $real ) > $real)).
% 1.69/1.35 tff(f4_type, type, (
% 1.69/1.35 f4: 'S2')).
% 1.69/1.35 tff(f6_type, type, (
% 1.69/1.35 f6: 'S2')).
% 1.69/1.35 tff(1,plain,
% 1.69/1.35 ($lesseq(f5, f7) <=> $lesseq($sum(f5, $product(-1, f7)), 0)),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(2,plain,
% 1.69/1.35 ($lesseq(f5, f7) <=> $lesseq(f5, f7)),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(3,plain,
% 1.69/1.35 (($lesseq(f5, f7) | $false) <=> $lesseq(f5, f7)),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(4,plain,
% 1.69/1.35 ($less(f5, $product(2, f7)) <=> (~$lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(5,axiom,($less(f5, $product(2, f7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_7')).
% 1.69/1.35 tff(6,plain,
% 1.69/1.35 (~$lesseq($product(2, f7), f5)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[5, 4])).
% 1.69/1.35 tff(7,plain,
% 1.69/1.35 ($lesseq($product(2, f7), f5) <=> $false),
% 1.69/1.35 inference(iff_false,[status(thm)],[6])).
% 1.69/1.35 tff(8,plain,
% 1.69/1.35 (($lesseq(f5, f7) | $lesseq($product(2, f7), f5)) <=> ($lesseq(f5, f7) | $false)),
% 1.69/1.35 inference(monotonicity,[status(thm)],[7])).
% 1.69/1.35 tff(9,plain,
% 1.69/1.35 (($lesseq(f5, f7) | $lesseq($product(2, f7), f5)) <=> $lesseq(f5, f7)),
% 1.69/1.35 inference(transitivity,[status(thm)],[8, 3])).
% 1.69/1.35 tff(10,plain,
% 1.69/1.35 (($false | $lesseq(f5, f7) | $lesseq($product(2, f7), f5)) <=> ($lesseq(f5, f7) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(11,plain,
% 1.69/1.35 ((~$true) <=> $false),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(12,axiom,(~((~(f3(f4, f5) = 0)) | (~(f3(f6, f5) = 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_2')).
% 1.69/1.35 tff(13,plain,
% 1.69/1.35 (f3(f4, f5) = 0),
% 1.69/1.35 inference(or_elim,[status(thm)],[12])).
% 1.69/1.35 tff(14,plain,
% 1.69/1.35 ((f3(f4, f5) = 0) <=> $true),
% 1.69/1.35 inference(iff_true,[status(thm)],[13])).
% 1.69/1.35 tff(15,plain,
% 1.69/1.35 ((~(f3(f4, f5) = 0)) <=> (~$true)),
% 1.69/1.35 inference(monotonicity,[status(thm)],[14])).
% 1.69/1.35 tff(16,plain,
% 1.69/1.35 ((~(f3(f4, f5) = 0)) <=> $false),
% 1.69/1.35 inference(transitivity,[status(thm)],[15, 11])).
% 1.69/1.35 tff(17,plain,
% 1.69/1.35 (((~(f3(f4, f5) = 0)) | $lesseq(f5, f7) | $lesseq($product(2, f7), f5)) <=> ($false | $lesseq(f5, f7) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(monotonicity,[status(thm)],[16])).
% 1.69/1.35 tff(18,plain,
% 1.69/1.35 (((~(f3(f4, f5) = 0)) | $lesseq(f5, f7) | $lesseq($product(2, f7), f5)) <=> ($lesseq(f5, f7) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(transitivity,[status(thm)],[17, 10])).
% 1.69/1.35 tff(19,plain,
% 1.69/1.35 (((~$lesseq(f5, f7)) => ((~(f3(f4, f5) = 0)) | $lesseq($product(2, f7), f5))) <=> ((~(f3(f4, f5) = 0)) | $lesseq(f5, f7) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(20,plain,
% 1.69/1.35 (((~$lesseq($product(2, f7), f5)) => (~(f3(f4, f5) = 0))) <=> ((~(f3(f4, f5) = 0)) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(21,plain,
% 1.69/1.35 (($less(f5, $product(2, f7)) => (~(f3(f4, f5) = 0))) <=> ((~$lesseq($product(2, f7), f5)) => (~(f3(f4, f5) = 0)))),
% 1.69/1.35 inference(monotonicity,[status(thm)],[4])).
% 1.69/1.35 tff(22,plain,
% 1.69/1.35 (($less(f5, $product(2, f7)) => (~(f3(f4, f5) = 0))) <=> ((~(f3(f4, f5) = 0)) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(transitivity,[status(thm)],[21, 20])).
% 1.69/1.35 tff(23,plain,
% 1.69/1.35 ($less(f7, f5) <=> (~$lesseq(f5, f7))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(24,plain,
% 1.69/1.35 (($less(f7, f5) => ($less(f5, $product(2, f7)) => (~(f3(f4, f5) = 0)))) <=> ((~$lesseq(f5, f7)) => ((~(f3(f4, f5) = 0)) | $lesseq($product(2, f7), f5)))),
% 1.69/1.35 inference(monotonicity,[status(thm)],[23, 22])).
% 1.69/1.35 tff(25,plain,
% 1.69/1.35 (($less(f7, f5) => ($less(f5, $product(2, f7)) => (~(f3(f4, f5) = 0)))) <=> ((~(f3(f4, f5) = 0)) | $lesseq(f5, f7) | $lesseq($product(2, f7), f5))),
% 1.69/1.35 inference(transitivity,[status(thm)],[24, 19])).
% 1.69/1.35 tff(26,axiom,($less(f7, f5) => ($less(f5, $product(2, f7)) => (~(f3(f4, f5) = 0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_5')).
% 1.69/1.35 tff(27,plain,
% 1.69/1.35 ((~(f3(f4, f5) = 0)) | $lesseq(f5, f7) | $lesseq($product(2, f7), f5)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[26, 25])).
% 1.69/1.35 tff(28,plain,
% 1.69/1.35 ($lesseq(f5, f7) | $lesseq($product(2, f7), f5)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[27, 18])).
% 1.69/1.35 tff(29,plain,
% 1.69/1.35 ($lesseq(f5, f7)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[28, 9])).
% 1.69/1.35 tff(30,plain,
% 1.69/1.35 ($lesseq(f5, f7)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[29, 2])).
% 1.69/1.35 tff(31,plain,
% 1.69/1.35 ($lesseq($sum(f5, $product(-1, f7)), 0)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[30, 1])).
% 1.69/1.35 tff(32,plain,
% 1.69/1.35 ((0 = $sum(f5, $product(-1, f7))) <=> ($sum(f5, $product(-1, f7)) = 0)),
% 1.69/1.35 inference(commutativity,[status(thm)],[])).
% 1.69/1.35 tff(33,plain,
% 1.69/1.35 (($sum(f5, $product(-1, f7)) = 0) <=> (0 = $sum(f5, $product(-1, f7)))),
% 1.69/1.35 inference(symmetry,[status(thm)],[32])).
% 1.69/1.35 tff(34,plain,
% 1.69/1.35 ((~($sum(f5, $product(-1, f7)) = 0)) <=> (~(0 = $sum(f5, $product(-1, f7))))),
% 1.69/1.35 inference(monotonicity,[status(thm)],[33])).
% 1.69/1.35 tff(35,plain,
% 1.69/1.35 ((~(f5 = f7)) <=> (~($sum(f5, $product(-1, f7)) = 0))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(36,plain,
% 1.69/1.35 ((~(f5 = f7)) <=> (~(f5 = f7))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(37,plain,
% 1.69/1.35 (((~(f5 = f7)) | $false) <=> (~(f5 = f7))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(38,plain,
% 1.69/1.35 (f3(f6, f5) = 1),
% 1.69/1.35 inference(or_elim,[status(thm)],[12])).
% 1.69/1.35 tff(39,plain,
% 1.69/1.35 ((f3(f6, f5) = 1) <=> $true),
% 1.69/1.35 inference(iff_true,[status(thm)],[38])).
% 1.69/1.35 tff(40,plain,
% 1.69/1.35 ((~(f3(f6, f5) = 1)) <=> (~$true)),
% 1.69/1.35 inference(monotonicity,[status(thm)],[39])).
% 1.69/1.35 tff(41,plain,
% 1.69/1.35 ((~(f3(f6, f5) = 1)) <=> $false),
% 1.69/1.35 inference(transitivity,[status(thm)],[40, 11])).
% 1.69/1.35 tff(42,plain,
% 1.69/1.35 (((~(f5 = f7)) | (~(f3(f6, f5) = 1))) <=> ((~(f5 = f7)) | $false)),
% 1.69/1.35 inference(monotonicity,[status(thm)],[41])).
% 1.69/1.35 tff(43,plain,
% 1.69/1.35 (((~(f5 = f7)) | (~(f3(f6, f5) = 1))) <=> (~(f5 = f7))),
% 1.69/1.35 inference(transitivity,[status(thm)],[42, 37])).
% 1.69/1.35 tff(44,plain,
% 1.69/1.35 (((f5 = f7) => (~(f3(f6, f5) = 1))) <=> ((~(f5 = f7)) | (~(f3(f6, f5) = 1)))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(45,axiom,((f5 = f7) => (~(f3(f6, f5) = 1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_4')).
% 1.69/1.35 tff(46,plain,
% 1.69/1.35 ((~(f5 = f7)) | (~(f3(f6, f5) = 1))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[45, 44])).
% 1.69/1.35 tff(47,plain,
% 1.69/1.35 (~(f5 = f7)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[46, 43])).
% 1.69/1.35 tff(48,plain,
% 1.69/1.35 (~(f5 = f7)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[47, 36])).
% 1.69/1.35 tff(49,plain,
% 1.69/1.35 (~($sum(f5, $product(-1, f7)) = 0)),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[48, 35])).
% 1.69/1.35 tff(50,plain,
% 1.69/1.35 (~(0 = $sum(f5, $product(-1, f7)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[49, 34])).
% 1.69/1.35 tff(51,plain,
% 1.69/1.35 ((0 = $sum(f5, $product(-1, f7))) | (~$lesseq($sum(f5, $product(-1, f7)), 0)) | (~$greatereq($sum(f5, $product(-1, f7)), 0))),
% 1.69/1.35 inference(theory_lemma,[status(thm)],[])).
% 1.69/1.35 tff(52,plain,
% 1.69/1.35 (~$greatereq($sum(f5, $product(-1, f7)), 0)),
% 1.69/1.35 inference(unit_resolution,[status(thm)],[51, 50, 31])).
% 1.69/1.35 tff(53,plain,
% 1.69/1.35 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $lesseq($sum(f7, $product(-1, f5)), 0))) <=> ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0))))),
% 1.69/1.35 inference(bind,[status(th)],[])).
% 1.69/1.35 tff(54,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $lesseq($sum(f7, $product(-1, f5)), 0))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0)))),
% 1.69/1.35 inference(quant_intro,[status(thm)],[53])).
% 1.69/1.35 tff(55,plain,
% 1.69/1.35 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))) <=> ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $lesseq($sum(f7, $product(-1, f5)), 0))))),
% 1.69/1.35 inference(bind,[status(th)],[])).
% 1.69/1.35 tff(56,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $lesseq($sum(f7, $product(-1, f5)), 0)))),
% 1.69/1.35 inference(quant_intro,[status(thm)],[55])).
% 1.69/1.35 tff(57,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(rewrite,[status(thm)],[])).
% 1.69/1.35 tff(58,plain,
% 1.69/1.35 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = 0) & ((~(f3(f4, f5) = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))) <=> ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))))),
% 1.69/1.35 inference(bind,[status(th)],[])).
% 1.69/1.35 tff(59,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(f3(f4, f5) = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(quant_intro,[status(thm)],[58])).
% 1.69/1.35 tff(60,plain,
% 1.69/1.35 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = 0) & ($less(A__questionmark_v_0_1, f5) => ($less(f5, f7) => (~(f3(f4, f5) = A__questionmark_v_0_1))))) <=> ((A__questionmark_v_0_1 = 0) & ((~(f3(f4, f5) = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5))))),
% 1.69/1.35 inference(bind,[status(th)],[])).
% 1.69/1.35 tff(61,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($less(A__questionmark_v_0_1, f5) => ($less(f5, f7) => (~(f3(f4, f5) = A__questionmark_v_0_1))))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(f3(f4, f5) = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(quant_intro,[status(thm)],[60])).
% 1.69/1.35 tff(62,axiom,(?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($less(A__questionmark_v_0_1, f5) => ($less(f5, f7) => (~(f3(f4, f5) = A__questionmark_v_0_1)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_3')).
% 1.69/1.35 tff(63,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(f3(f4, f5) = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[62, 61])).
% 1.69/1.35 tff(64,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[63, 59])).
% 1.69/1.35 tff(65,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(0 = A__questionmark_v_0_1)) | $lesseq(f5, A__questionmark_v_0_1) | $lesseq(f7, f5)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[64, 57])).
% 1.69/1.35 tff(66,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $lesseq($sum(f7, $product(-1, f5)), 0)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[65, 56])).
% 1.69/1.35 tff(67,plain,
% 1.69/1.35 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ((~(A__questionmark_v_0_1 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0)))),
% 1.69/1.35 inference(modus_ponens,[status(thm)],[66, 54])).
% 1.69/1.35 tff(68,plain,(
% 1.69/1.35 (A__questionmark_v_0_1!0 = 0) & ((~(A__questionmark_v_0_1!0 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1!0)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0))),
% 1.69/1.37 inference(skolemize,[status(sab)],[67])).
% 1.69/1.37 tff(69,plain,
% 1.69/1.37 (A__questionmark_v_0_1!0 = 0),
% 1.69/1.37 inference(and_elim,[status(thm)],[68])).
% 1.69/1.37 tff(70,plain,
% 1.69/1.37 ((~(A__questionmark_v_0_1!0 = 0)) | $lesseq($sum(f5, $product(-1, A__questionmark_v_0_1!0)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0)),
% 1.69/1.37 inference(and_elim,[status(thm)],[68])).
% 1.69/1.37 tff(71,plain,
% 1.69/1.37 ($lesseq($sum(f5, $product(-1, A__questionmark_v_0_1!0)), 0) | $greatereq($sum(f5, $product(-1, f7)), 0)),
% 1.69/1.37 inference(unit_resolution,[status(thm)],[70, 69])).
% 1.69/1.37 tff(72,plain,
% 1.69/1.37 ($lesseq($sum(f5, $product(-1, A__questionmark_v_0_1!0)), 0)),
% 1.69/1.37 inference(unit_resolution,[status(thm)],[71, 52])).
% 1.69/1.37 tff(73,plain,
% 1.69/1.37 ((~$lesseq(f5, 0)) <=> (~$lesseq(f5, 0))),
% 1.69/1.37 inference(rewrite,[status(thm)],[])).
% 1.69/1.37 tff(74,plain,
% 1.69/1.37 ($less(0, f5) <=> (~$lesseq(f5, 0))),
% 1.69/1.37 inference(rewrite,[status(thm)],[])).
% 1.69/1.37 tff(75,axiom,($less(0, f5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','formula_6')).
% 1.69/1.37 tff(76,plain,
% 1.69/1.37 (~$lesseq(f5, 0)),
% 1.69/1.37 inference(modus_ponens,[status(thm)],[75, 74])).
% 1.69/1.37 tff(77,plain,
% 1.69/1.37 (~$lesseq(f5, 0)),
% 1.69/1.37 inference(modus_ponens,[status(thm)],[76, 73])).
% 1.69/1.37 tff(78,plain,
% 1.69/1.37 (0 = A__questionmark_v_0_1!0),
% 1.69/1.37 inference(symmetry,[status(thm)],[69])).
% 1.69/1.37 tff(79,plain,
% 1.69/1.37 ((~(0 = A__questionmark_v_0_1!0)) | $lesseq(A__questionmark_v_0_1!0, 0)),
% 1.69/1.37 inference(theory_lemma,[status(thm)],[])).
% 1.69/1.37 tff(80,plain,
% 1.69/1.37 ($lesseq(A__questionmark_v_0_1!0, 0)),
% 1.69/1.37 inference(unit_resolution,[status(thm)],[79, 78])).
% 1.69/1.37 tff(81,plain,
% 1.69/1.37 ($false),
% 1.69/1.37 inference(theory_lemma,[status(thm)],[80, 77, 72])).
% 1.69/1.37 % SZS output end Proof
%------------------------------------------------------------------------------