TSTP Solution File: GRP201-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP201-1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n032.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 : Mon Jun 24 06:58:41 EDT 2024
% Result : Unsatisfiable 11.17s 1.99s
% Output : CNFRefutation 11.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(c_50,plain,
multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
cnf(c_51,plain,
multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_left_division) ).
cnf(c_52,plain,
left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_division_multiply) ).
cnf(c_53,plain,
multiply(right_division(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_right_division) ).
cnf(c_54,plain,
right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_division_multiply) ).
cnf(c_55,plain,
multiply(X0,right_inverse(X0)) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(c_56,plain,
multiply(left_inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_57,plain,
multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',moufang2) ).
cnf(c_58,negated_conjecture,
multiply(multiply(multiply(a,b),a),c) != multiply(a,multiply(b,multiply(a,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_moufang3) ).
cnf(c_93,plain,
multiply(a,b) = sP0_iProver_def,
definition ).
cnf(c_94,plain,
multiply(sP0_iProver_def,a) = sP1_iProver_def,
definition ).
cnf(c_95,plain,
multiply(sP1_iProver_def,c) = sP2_iProver_def,
definition ).
cnf(c_96,plain,
multiply(a,c) = sP3_iProver_def,
definition ).
cnf(c_97,plain,
multiply(b,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_98,plain,
multiply(a,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_99,negated_conjecture,
sP2_iProver_def != sP5_iProver_def,
inference(demodulation,[status(thm)],[c_58,c_96,c_97,c_98,c_93,c_94,c_95]) ).
cnf(c_1522,plain,
left_division(X0,X0) = identity,
inference(superposition,[status(thm)],[c_50,c_52]) ).
cnf(c_1615,plain,
multiply(identity,multiply(X0,multiply(X1,X0))) = multiply(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_1618,plain,
multiply(right_division(X0,X1),multiply(X1,multiply(X2,X1))) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_1619,plain,
multiply(X0,multiply(right_inverse(X0),multiply(X1,right_inverse(X0)))) = multiply(multiply(identity,X1),right_inverse(X0)),
inference(superposition,[status(thm)],[c_55,c_57]) ).
cnf(c_1633,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_1615,c_49]) ).
cnf(c_1637,plain,
multiply(X0,multiply(right_inverse(X0),multiply(X1,right_inverse(X0)))) = multiply(X1,right_inverse(X0)),
inference(demodulation,[status(thm)],[c_1619,c_49]) ).
cnf(c_1643,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_55,c_1633]) ).
cnf(c_1660,plain,
multiply(X0,multiply(right_inverse(X0),X0)) = X0,
inference(demodulation,[status(thm)],[c_1643,c_49]) ).
cnf(c_1679,plain,
multiply(right_inverse(X0),X0) = left_division(X0,X0),
inference(superposition,[status(thm)],[c_1660,c_52]) ).
cnf(c_1681,plain,
multiply(right_inverse(X0),X0) = identity,
inference(demodulation,[status(thm)],[c_1679,c_1522]) ).
cnf(c_2363,plain,
multiply(right_division(X0,right_inverse(X1)),multiply(right_inverse(X1),identity)) = multiply(multiply(X0,X1),right_inverse(X1)),
inference(superposition,[status(thm)],[c_55,c_1618]) ).
cnf(c_2376,plain,
multiply(right_division(X0,X1),multiply(X1,identity)) = multiply(multiply(X0,right_inverse(X1)),X1),
inference(superposition,[status(thm)],[c_1681,c_1618]) ).
cnf(c_2399,plain,
multiply(multiply(X0,right_inverse(X1)),X1) = X0,
inference(demodulation,[status(thm)],[c_2376,c_50,c_53]) ).
cnf(c_2400,plain,
multiply(multiply(X0,X1),right_inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_2363,c_50,c_53]) ).
cnf(c_3074,plain,
multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_2399,c_54]) ).
cnf(c_3151,plain,
left_division(multiply(X0,X1),X0) = right_inverse(X1),
inference(superposition,[status(thm)],[c_2400,c_52]) ).
cnf(c_3248,plain,
right_inverse(left_division(X0,X1)) = left_division(X1,X0),
inference(superposition,[status(thm)],[c_51,c_3151]) ).
cnf(c_3602,plain,
multiply(X0,left_division(X1,X2)) = right_division(X0,left_division(X2,X1)),
inference(superposition,[status(thm)],[c_3248,c_3074]) ).
cnf(c_7194,plain,
multiply(X0,multiply(right_inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_53,c_1637]) ).
cnf(c_7227,plain,
left_division(right_inverse(X0),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_51,c_7194]) ).
cnf(c_7251,plain,
multiply(right_inverse(X0),X1) = left_division(X0,X1),
inference(superposition,[status(thm)],[c_7194,c_52]) ).
cnf(c_7317,plain,
left_division(X0,right_inverse(X1)) = right_inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_7227,c_3248]) ).
cnf(c_9031,plain,
multiply(left_division(X0,right_inverse(X1)),X2) = left_division(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_7317,c_7251]) ).
cnf(c_17731,plain,
left_division(identity,X0) = X0,
inference(superposition,[status(thm)],[c_49,c_51]) ).
cnf(c_17737,plain,
left_division(X0,identity) = right_inverse(X0),
inference(superposition,[status(thm)],[c_55,c_52]) ).
cnf(c_17740,plain,
left_division(a,sP3_iProver_def) = c,
inference(superposition,[status(thm)],[c_96,c_52]) ).
cnf(c_17743,plain,
left_division(b,sP4_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_97,c_52]) ).
cnf(c_17744,plain,
left_division(a,sP5_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_98,c_52]) ).
cnf(c_17773,plain,
right_division(identity,X0) = left_inverse(X0),
inference(superposition,[status(thm)],[c_56,c_54]) ).
cnf(c_17815,plain,
multiply(X0,left_division(X1,identity)) = right_division(X0,X1),
inference(superposition,[status(thm)],[c_17731,c_3602]) ).
cnf(c_17830,plain,
multiply(identity,left_division(X0,X1)) = left_inverse(left_division(X1,X0)),
inference(superposition,[status(thm)],[c_3602,c_17773]) ).
cnf(c_17831,plain,
multiply(X0,right_inverse(X1)) = right_division(X0,X1),
inference(demodulation,[status(thm)],[c_17815,c_17737]) ).
cnf(c_17832,plain,
left_inverse(left_division(X0,X1)) = left_division(X1,X0),
inference(demodulation,[status(thm)],[c_17830,c_49]) ).
cnf(c_17841,plain,
right_division(identity,X0) = right_inverse(X0),
inference(superposition,[status(thm)],[c_17831,c_49]) ).
cnf(c_17846,plain,
right_inverse(X0) = left_inverse(X0),
inference(demodulation,[status(thm)],[c_17773,c_17841]) ).
cnf(c_17878,plain,
left_division(sP3_iProver_def,a) = left_inverse(c),
inference(superposition,[status(thm)],[c_17740,c_17832]) ).
cnf(c_17881,plain,
left_division(sP4_iProver_def,b) = left_inverse(sP3_iProver_def),
inference(superposition,[status(thm)],[c_17743,c_17832]) ).
cnf(c_17882,plain,
left_division(sP5_iProver_def,a) = left_inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_17744,c_17832]) ).
cnf(c_17885,plain,
left_division(sP5_iProver_def,a) = right_inverse(sP4_iProver_def),
inference(demodulation,[status(thm)],[c_17882,c_17846]) ).
cnf(c_17886,plain,
left_division(sP4_iProver_def,b) = right_inverse(sP3_iProver_def),
inference(demodulation,[status(thm)],[c_17881,c_17846]) ).
cnf(c_17889,plain,
left_division(sP3_iProver_def,a) = right_inverse(c),
inference(demodulation,[status(thm)],[c_17878,c_17846]) ).
cnf(c_18220,plain,
left_division(multiply(X0,identity),X1) = multiply(right_inverse(X0),X1),
inference(superposition,[status(thm)],[c_17731,c_9031]) ).
cnf(c_18242,plain,
multiply(right_inverse(X0),X1) = left_division(X0,X1),
inference(demodulation,[status(thm)],[c_18220,c_50]) ).
cnf(c_19493,plain,
multiply(identity,multiply(X0,multiply(X1,X0))) = multiply(multiply(X0,X1),X0),
inference(superposition,[status(thm)],[c_49,c_57]) ).
cnf(c_19505,plain,
multiply(right_inverse(X0),multiply(X1,multiply(X2,X1))) = multiply(multiply(left_division(X0,X1),X2),X1),
inference(superposition,[status(thm)],[c_18242,c_57]) ).
cnf(c_19541,plain,
multiply(multiply(X0,X1),X0) = multiply(X0,multiply(X1,X0)),
inference(demodulation,[status(thm)],[c_19493,c_49]) ).
cnf(c_19545,plain,
multiply(multiply(left_division(X0,X1),X2),X1) = left_division(X0,multiply(X1,multiply(X2,X1))),
inference(demodulation,[status(thm)],[c_19505,c_18242]) ).
cnf(c_20213,plain,
multiply(a,multiply(b,a)) = multiply(sP0_iProver_def,a),
inference(superposition,[status(thm)],[c_93,c_19541]) ).
cnf(c_20264,plain,
multiply(a,multiply(b,a)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_20213,c_94]) ).
cnf(c_20296,plain,
multiply(multiply(left_division(X0,a),b),a) = left_division(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_20264,c_19545]) ).
cnf(c_30448,plain,
multiply(multiply(right_inverse(sP4_iProver_def),b),a) = left_division(sP5_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_17885,c_20296]) ).
cnf(c_30474,plain,
left_division(sP5_iProver_def,sP1_iProver_def) = right_inverse(c),
inference(demodulation,[status(thm)],[c_30448,c_17889,c_17886,c_18242]) ).
cnf(c_30540,plain,
multiply(sP5_iProver_def,right_inverse(c)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_30474,c_51]) ).
cnf(c_30553,plain,
right_division(sP5_iProver_def,c) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_30540,c_17831]) ).
cnf(c_30636,plain,
multiply(sP1_iProver_def,c) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_30553,c_53]) ).
cnf(c_30648,plain,
sP2_iProver_def = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_30636,c_95]) ).
cnf(c_30649,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_30648,c_99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP201-1 : TPTP v8.2.0. Released v2.2.0.
% 0.02/0.09 % Command : run_iprover %s %d THM
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Jun 20 07:13:39 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.37 Running UEQ theorem proving
% 0.13/0.37 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.17/1.99 % SZS status Started for theBenchmark.p
% 11.17/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 11.17/1.99
% 11.17/1.99 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.17/1.99
% 11.17/1.99 ------ iProver source info
% 11.17/1.99
% 11.17/1.99 git: date: 2024-06-12 09:56:46 +0000
% 11.17/1.99 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 11.17/1.99 git: non_committed_changes: false
% 11.17/1.99
% 11.17/1.99 ------ Parsing...successful
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 11.17/1.99
% 11.17/1.99 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.17/1.99
% 11.17/1.99 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.17/1.99 ------ Proving...
% 11.17/1.99 ------ Problem Properties
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99 clauses 16
% 11.17/1.99 conjectures 1
% 11.17/1.99 EPR 1
% 11.17/1.99 Horn 16
% 11.17/1.99 unary 16
% 11.17/1.99 binary 0
% 11.17/1.99 lits 16
% 11.17/1.99 lits eq 16
% 11.17/1.99 fd_pure 0
% 11.17/1.99 fd_pseudo 0
% 11.17/1.99 fd_cond 0
% 11.17/1.99 fd_pseudo_cond 0
% 11.17/1.99 AC symbols 0
% 11.17/1.99
% 11.17/1.99 ------ Input Options Time Limit: Unbounded
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99 ------
% 11.17/1.99 Current options:
% 11.17/1.99 ------
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99 ------ Proving...
% 11.17/1.99
% 11.17/1.99
% 11.17/1.99 % SZS status Unsatisfiable for theBenchmark.p
% 11.17/1.99
% 11.17/1.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.17/1.99
% 11.17/2.00
%------------------------------------------------------------------------------