TSTP Solution File: GEO036-3 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 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 20:34:26 EDT 2022
% Result : Unsatisfiable 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n014.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 : Wed Aug 31 04:50:47 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.18/0.33 Usage: tptp [options] [-file:]file
% 0.18/0.33 -h, -? prints this message.
% 0.18/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.18/0.33 -m, -model generate model.
% 0.18/0.33 -p, -proof generate proof.
% 0.18/0.33 -c, -core generate unsat core of named formulas.
% 0.18/0.33 -st, -statistics display statistics.
% 0.18/0.33 -t:timeout set timeout (in second).
% 0.18/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.18/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.18/0.33 -<param>:<value> configuration parameter and value.
% 0.18/0.33 -o:<output-file> file to place output in.
% 0.18/0.39 % SZS status Unsatisfiable
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 tff(between_type, type, (
% 0.18/0.39 between: ( $i * $i * $i ) > $o)).
% 0.18/0.39 tff(lower_dimension_point_3_type, type, (
% 0.18/0.39 lower_dimension_point_3: $i)).
% 0.18/0.39 tff(lower_dimension_point_2_type, type, (
% 0.18/0.39 lower_dimension_point_2: $i)).
% 0.18/0.39 tff(lower_dimension_point_1_type, type, (
% 0.18/0.39 lower_dimension_point_1: $i)).
% 0.18/0.39 tff(1,assumption,(lower_dimension_point_1 = lower_dimension_point_2), introduced(assumption)).
% 0.18/0.39 tff(2,plain,
% 0.18/0.39 (lower_dimension_point_2 = lower_dimension_point_1),
% 0.18/0.39 inference(symmetry,[status(thm)],[1])).
% 0.18/0.39 tff(3,plain,
% 0.18/0.39 (between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3) <=> between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[2])).
% 0.18/0.39 tff(4,plain,
% 0.18/0.39 (between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) <=> between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(symmetry,[status(thm)],[3])).
% 0.18/0.39 tff(5,plain,
% 0.18/0.39 ((~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)) <=> (~between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[4])).
% 0.18/0.39 tff(6,plain,
% 0.18/0.39 ((~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)) <=> (~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(7,axiom,(~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)), file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax','lower_dimension1')).
% 0.18/0.39 tff(8,plain,
% 0.18/0.39 (~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.18/0.39 tff(9,plain,
% 0.18/0.39 (~between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.18/0.39 tff(10,plain,
% 0.18/0.39 (^[V: $i, U: $i] : refl(between(U, U, V) <=> between(U, U, V))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(11,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, U, V) <=> ![V: $i, U: $i] : between(U, U, V)),
% 0.18/0.39 inference(quant_intro,[status(thm)],[10])).
% 0.18/0.39 tff(12,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, U, V) <=> ![V: $i, U: $i] : between(U, U, V)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(13,axiom,(![V: $i, U: $i] : between(U, U, V)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t2')).
% 0.18/0.39 tff(14,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, U, V)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.18/0.39 tff(15,plain,(
% 0.18/0.39 ![V: $i, U: $i] : between(U, U, V)),
% 0.18/0.39 inference(skolemize,[status(sab)],[14])).
% 0.18/0.39 tff(16,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, U, V)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.18/0.39 tff(17,plain,
% 0.18/0.39 ((~![V: $i, U: $i] : between(U, U, V)) | between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(18,plain,
% 0.18/0.39 (between(lower_dimension_point_2, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.18/0.39 tff(19,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[18, 9])).
% 0.18/0.39 tff(20,plain,(~(lower_dimension_point_1 = lower_dimension_point_2)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(21,assumption,(lower_dimension_point_2 = lower_dimension_point_3), introduced(assumption)).
% 0.18/0.39 tff(22,plain,
% 0.18/0.39 (lower_dimension_point_3 = lower_dimension_point_2),
% 0.18/0.39 inference(symmetry,[status(thm)],[21])).
% 0.18/0.39 tff(23,plain,
% 0.18/0.39 (between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3) <=> between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[22])).
% 0.18/0.39 tff(24,plain,
% 0.18/0.39 (between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3) <=> between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.39 inference(symmetry,[status(thm)],[23])).
% 0.18/0.39 tff(25,plain,
% 0.18/0.39 ((~between(lower_dimension_point_1, lower_dimension_point_2, lower_dimension_point_3)) <=> (~between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[24])).
% 0.18/0.39 tff(26,plain,
% 0.18/0.39 (~between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[8, 25])).
% 0.18/0.39 tff(27,plain,
% 0.18/0.39 (^[V: $i, U: $i] : refl(between(U, V, V) <=> between(U, V, V))),
% 0.18/0.39 inference(bind,[status(th)],[])).
% 0.18/0.39 tff(28,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, V, V) <=> ![V: $i, U: $i] : between(U, V, V)),
% 0.18/0.39 inference(quant_intro,[status(thm)],[27])).
% 0.18/0.39 tff(29,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, V, V) <=> ![V: $i, U: $i] : between(U, V, V)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(30,axiom,(![V: $i, U: $i] : between(U, V, V)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t3')).
% 0.18/0.39 tff(31,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, V, V)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.18/0.39 tff(32,plain,(
% 0.18/0.39 ![V: $i, U: $i] : between(U, V, V)),
% 0.18/0.39 inference(skolemize,[status(sab)],[31])).
% 0.18/0.39 tff(33,plain,
% 0.18/0.39 (![V: $i, U: $i] : between(U, V, V)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[32, 28])).
% 0.18/0.39 tff(34,plain,
% 0.18/0.39 ((~![V: $i, U: $i] : between(U, V, V)) | between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.39 inference(quant_inst,[status(thm)],[])).
% 0.18/0.39 tff(35,plain,
% 0.18/0.39 (between(lower_dimension_point_1, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.18/0.39 tff(36,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[35, 26])).
% 0.18/0.39 tff(37,plain,(~(lower_dimension_point_2 = lower_dimension_point_3)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(38,plain,
% 0.18/0.39 (((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)) <=> ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(39,plain,
% 0.18/0.39 ((((lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_2 = lower_dimension_point_3)) | (lower_dimension_point_1 = lower_dimension_point_3)) <=> ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(40,axiom,(((lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_2 = lower_dimension_point_3)) | (lower_dimension_point_1 = lower_dimension_point_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_axioms_points_are_distinct')).
% 0.18/0.39 tff(41,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.18/0.39 tff(42,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[41, 38])).
% 0.18/0.39 tff(43,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.18/0.39 tff(44,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[43, 38])).
% 0.18/0.39 tff(45,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[44, 38])).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[45, 38])).
% 0.18/0.40 tff(47,plain,
% 0.18/0.40 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[46, 38])).
% 0.18/0.40 tff(48,plain,
% 0.18/0.40 ((lower_dimension_point_2 = lower_dimension_point_3) | (lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[47, 38])).
% 0.18/0.40 tff(49,plain,
% 0.18/0.40 ((lower_dimension_point_1 = lower_dimension_point_2) | (lower_dimension_point_1 = lower_dimension_point_3)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[48, 37])).
% 0.18/0.40 tff(50,plain,
% 0.18/0.40 (lower_dimension_point_1 = lower_dimension_point_3),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[49, 20])).
% 0.18/0.40 tff(51,plain,
% 0.18/0.40 (lower_dimension_point_3 = lower_dimension_point_1),
% 0.18/0.40 inference(symmetry,[status(thm)],[50])).
% 0.18/0.40 tff(52,plain,
% 0.18/0.40 (between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3) <=> between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[51])).
% 0.18/0.40 tff(53,plain,
% 0.18/0.40 (between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1) <=> between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.40 inference(symmetry,[status(thm)],[52])).
% 0.18/0.40 tff(54,plain,
% 0.18/0.40 ((~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1)) <=> (~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[53])).
% 0.18/0.40 tff(55,plain,
% 0.18/0.40 ((~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1)) <=> (~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(56,axiom,(~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1)), file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax','lower_dimension2')).
% 0.18/0.40 tff(57,plain,
% 0.18/0.40 (~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_1)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.18/0.40 tff(58,plain,
% 0.18/0.40 (~between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[57, 54])).
% 0.18/0.40 tff(59,plain,
% 0.18/0.40 ((~![V: $i, U: $i] : between(U, V, V)) | between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(60,plain,
% 0.18/0.40 (between(lower_dimension_point_2, lower_dimension_point_3, lower_dimension_point_3)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[59, 33])).
% 0.18/0.40 tff(61,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[60, 58])).
% 0.18/0.40 % SZS output end Proof
%------------------------------------------------------------------------------