TSTP Solution File: SWW824_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWW824_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n003.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 21:00:01 EDT 2022
% Result : Unsatisfiable 0.60s 0.66s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWW824_1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Sep 4 21:45:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.33 Usage: tptp [options] [-file:]file
% 0.12/0.33 -h, -? prints this message.
% 0.12/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.33 -m, -model generate model.
% 0.12/0.33 -p, -proof generate proof.
% 0.12/0.33 -c, -core generate unsat core of named formulas.
% 0.12/0.33 -st, -statistics display statistics.
% 0.12/0.33 -t:timeout set timeout (in second).
% 0.12/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.33 -<param>:<value> configuration parameter and value.
% 0.12/0.33 -o:<output-file> file to place output in.
% 0.60/0.66 % SZS status Unsatisfiable
% 0.60/0.66 % SZS output start Proof
% 0.60/0.66 tff(tptp_fun_A__questionmark_v_0_1_0_type, type, (
% 0.60/0.66 tptp_fun_A__questionmark_v_0_1_0: $real)).
% 0.60/0.66 tff(f3_type, type, (
% 0.60/0.66 f3: ( 'S2' * $real ) > $real)).
% 0.60/0.66 tff(f8_type, type, (
% 0.60/0.66 f8: ( 'S4' * 'S5' ) > $real)).
% 0.60/0.66 tff(f10_type, type, (
% 0.60/0.66 f10: 'S5')).
% 0.60/0.66 tff(f9_type, type, (
% 0.60/0.66 f9: 'S4')).
% 0.60/0.66 tff(f5_type, type, (
% 0.60/0.66 f5: ( 'S3' * $real ) > 'S2')).
% 0.60/0.66 tff(f7_type, type, (
% 0.60/0.66 f7: $real)).
% 0.60/0.66 tff(f6_type, type, (
% 0.60/0.66 f6: 'S3')).
% 0.60/0.66 tff(f4_type, type, (
% 0.60/0.66 f4: 'S2')).
% 0.60/0.66 tff(1,plain,
% 0.60/0.66 ((0 = 1) <=> $false),
% 0.60/0.66 inference(rewrite,[status(thm)],[])).
% 0.60/0.66 tff(2,plain,
% 0.60/0.66 (((A__questionmark_v_0_1!0 = 0) & ($greatereq(A__questionmark_v_0_1!0, 0) | (A__questionmark_v_0_1!0 = -1)) & ((~$greatereq(A__questionmark_v_0_1!0, 0)) | (A__questionmark_v_0_1!0 = 1))) <=> ((A__questionmark_v_0_1!0 = 0) & ((A__questionmark_v_0_1!0 = -1) | $greatereq(A__questionmark_v_0_1!0, 0)) & ((~$greatereq(A__questionmark_v_0_1!0, 0)) | (A__questionmark_v_0_1!0 = 1)))),
% 0.60/0.66 inference(rewrite,[status(thm)],[])).
% 0.60/0.66 tff(3,plain,
% 0.60/0.66 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ((A__questionmark_v_0_1 = 0) & ($greatereq(A__questionmark_v_0_1, 0) | (A__questionmark_v_0_1 = -1)) & ((~$greatereq(A__questionmark_v_0_1, 0)) | (A__questionmark_v_0_1 = 1))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(4,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($greatereq(A__questionmark_v_0_1, 0) | (A__questionmark_v_0_1 = -1)) & ((~$greatereq(A__questionmark_v_0_1, 0)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[3])).
% 0.60/0.66 tff(5,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(rewrite,[status(thm)],[])).
% 0.60/0.66 tff(6,plain,
% 0.60/0.66 (^[A__questionmark_v_0_1: $real] : rewrite(((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(7,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[6])).
% 0.60/0.66 tff(8,plain,
% 0.60/0.66 (^[A__questionmark_v_0_1: $real] : trans(monotonicity(rewrite(((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($less(A__questionmark_v_0_1, 0) => ($uminus(A__questionmark_v_0_1) = 1))) <=> ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)))), trans(monotonicity(trans(monotonicity(rewrite($less(A__questionmark_v_0_1, 0) <=> (~$lesseq(0, A__questionmark_v_0_1))), ((~$less(A__questionmark_v_0_1, 0)) <=> (~(~$lesseq(0, A__questionmark_v_0_1))))), rewrite((~(~$lesseq(0, A__questionmark_v_0_1))) <=> $lesseq(0, A__questionmark_v_0_1)), ((~$less(A__questionmark_v_0_1, 0)) <=> $lesseq(0, A__questionmark_v_0_1))), (((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1)) <=> ($lesseq(0, A__questionmark_v_0_1) => (A__questionmark_v_0_1 = 1)))), rewrite(($lesseq(0, A__questionmark_v_0_1) => (A__questionmark_v_0_1 = 1)) <=> ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))), (((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1)) <=> ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))), ((((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($less(A__questionmark_v_0_1, 0) => ($uminus(A__questionmark_v_0_1) = 1))) & ((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1))) <=> (((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1))) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))))), rewrite((((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1))) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1))) <=> ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))), ((((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($less(A__questionmark_v_0_1, 0) => ($uminus(A__questionmark_v_0_1) = 1))) & ((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1))) <=> ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))))),
% 0.60/0.66 inference(bind,[status(th)],[])).
% 0.60/0.66 tff(9,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : (((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($less(A__questionmark_v_0_1, 0) => ($uminus(A__questionmark_v_0_1) = 1))) & ((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1))) <=> ?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(quant_intro,[status(thm)],[8])).
% 0.60/0.66 tff(10,axiom,(?[A__questionmark_v_0_1: $real] : (((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($less(A__questionmark_v_0_1, 0) => ($uminus(A__questionmark_v_0_1) = 1))) & ((~$less(A__questionmark_v_0_1, 0)) => (A__questionmark_v_0_1 = 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','formula_4')).
% 0.60/0.66 tff(11,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = f3(f4, f3(f5(f6, $product(2, f7)), f8(f9, f10)))) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.60/0.66 tff(12,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[11, 7])).
% 0.60/0.66 tff(13,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($lesseq(0, A__questionmark_v_0_1) | (A__questionmark_v_0_1 = -1)) & ((~$lesseq(0, A__questionmark_v_0_1)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[12, 5])).
% 0.60/0.66 tff(14,plain,
% 0.60/0.66 (?[A__questionmark_v_0_1: $real] : ((A__questionmark_v_0_1 = 0) & ($greatereq(A__questionmark_v_0_1, 0) | (A__questionmark_v_0_1 = -1)) & ((~$greatereq(A__questionmark_v_0_1, 0)) | (A__questionmark_v_0_1 = 1)))),
% 0.60/0.66 inference(modus_ponens,[status(thm)],[13, 4])).
% 0.60/0.66 tff(15,plain,(
% 0.60/0.66 (A__questionmark_v_0_1!0 = 0) & ($greatereq(A__questionmark_v_0_1!0, 0) | (A__questionmark_v_0_1!0 = -1)) & ((~$greatereq(A__questionmark_v_0_1!0, 0)) | (A__questionmark_v_0_1!0 = 1))),
% 0.60/0.68 inference(skolemize,[status(sab)],[14])).
% 0.60/0.68 tff(16,plain,
% 0.60/0.68 ((A__questionmark_v_0_1!0 = 0) & ((A__questionmark_v_0_1!0 = -1) | $greatereq(A__questionmark_v_0_1!0, 0)) & ((~$greatereq(A__questionmark_v_0_1!0, 0)) | (A__questionmark_v_0_1!0 = 1))),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[15, 2])).
% 0.60/0.68 tff(17,plain,
% 0.60/0.68 (A__questionmark_v_0_1!0 = 0),
% 0.60/0.68 inference(and_elim,[status(thm)],[16])).
% 0.60/0.68 tff(18,plain,
% 0.60/0.68 (0 = A__questionmark_v_0_1!0),
% 0.60/0.68 inference(symmetry,[status(thm)],[17])).
% 0.60/0.68 tff(19,plain,
% 0.60/0.68 ((~(0 = A__questionmark_v_0_1!0)) | $greatereq(A__questionmark_v_0_1!0, 0)),
% 0.60/0.68 inference(theory_lemma,[status(thm)],[])).
% 0.60/0.68 tff(20,plain,
% 0.60/0.68 ($greatereq(A__questionmark_v_0_1!0, 0)),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.60/0.68 tff(21,plain,
% 0.60/0.68 ((~$greatereq(A__questionmark_v_0_1!0, 0)) | (A__questionmark_v_0_1!0 = 1)),
% 0.60/0.68 inference(and_elim,[status(thm)],[16])).
% 0.60/0.68 tff(22,plain,
% 0.60/0.68 (A__questionmark_v_0_1!0 = 1),
% 0.60/0.68 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.60/0.68 tff(23,plain,
% 0.60/0.68 (0 = 1),
% 0.60/0.68 inference(transitivity,[status(thm)],[18, 22])).
% 0.60/0.68 tff(24,plain,
% 0.60/0.68 ($false),
% 0.60/0.68 inference(modus_ponens,[status(thm)],[23, 1])).
% 0.60/0.68 % SZS output end Proof
%------------------------------------------------------------------------------