TSTP Solution File: GRP048-10 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP048-10 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 06:57:42 EDT 2024
% Result : Unsatisfiable 11.64s 2.16s
% Output : CNFRefutation 11.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(c_50,plain,
product(identity,X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(c_51,plain,
product(inverse(X0),X0,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_52,plain,
product(X0,X1,multiply(X0,X1)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
cnf(c_53,plain,
ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,equalish(X3,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
cnf(c_54,plain,
ifeq(product(X0,X1,X2),true,ifeq(product(X3,X1,X4),true,ifeq(product(X5,X3,X0),true,product(X5,X4,X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
cnf(c_55,plain,
ifeq(product(X0,X1,X2),true,ifeq(product(X3,X2,X4),true,ifeq(product(X3,X0,X5),true,product(X5,X1,X4),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
cnf(c_56,plain,
ifeq(equalish(X0,X1),true,ifeq(product(X2,X3,X0),true,product(X2,X3,X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
cnf(c_57,plain,
equalish(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c_58,negated_conjecture,
equalish(inverse(a),inverse(b)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_substitution) ).
cnf(c_92,plain,
inverse(a) = sP0_iProver_def,
definition ).
cnf(c_93,plain,
inverse(b) = sP1_iProver_def,
definition ).
cnf(c_94,plain,
equalish(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_95,negated_conjecture,
sP2_iProver_def != true,
inference(demodulation,[status(thm)],[c_58,c_93,c_92,c_94]) ).
cnf(c_167,plain,
product(sP0_iProver_def,a,identity) = true,
inference(superposition,[status(thm)],[c_92,c_51]) ).
cnf(c_172,plain,
ifeq(product(identity,X0,X1),true,ifeq(true,true,equalish(X0,X1),true),true) = true,
inference(superposition,[status(thm)],[c_50,c_53]) ).
cnf(c_176,plain,
ifeq(product(X0,X1,sP1_iProver_def),true,ifeq(product(X0,X1,sP0_iProver_def),true,sP2_iProver_def,true),true) = true,
inference(superposition,[status(thm)],[c_94,c_53]) ).
cnf(c_177,plain,
ifeq(true,true,ifeq(product(X0,X1,a),true,product(X0,X1,b),true),true) = true,
inference(superposition,[status(thm)],[c_57,c_56]) ).
cnf(c_181,plain,
ifeq(equalish(multiply(X0,X1),X2),true,ifeq(true,true,product(X0,X1,X2),true),true) = true,
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_192,plain,
ifeq(product(identity,X0,X1),true,ifeq(product(X2,X0,X3),true,ifeq(true,true,product(inverse(X2),X3,X1),true),true),true) = true,
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_201,plain,
ifeq(product(X0,X1,X2),true,ifeq(true,true,ifeq(product(inverse(X2),X0,X3),true,product(X3,X1,identity),true),true),true) = true,
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_210,plain,
ifeq(product(identity,X0,X1),true,equalish(X0,X1),true) = true,
inference(demodulation,[status(thm)],[c_172,c_49]) ).
cnf(c_213,plain,
ifeq(product(X0,X1,a),true,product(X0,X1,b),true) = true,
inference(demodulation,[status(thm)],[c_177,c_49]) ).
cnf(c_216,plain,
ifeq(equalish(multiply(X0,X1),X2),true,product(X0,X1,X2),true) = true,
inference(demodulation,[status(thm)],[c_181,c_49]) ).
cnf(c_226,plain,
ifeq(product(X0,X1,X2),true,ifeq(product(inverse(X2),X0,X3),true,product(X3,X1,identity),true),true) = true,
inference(demodulation,[status(thm)],[c_201,c_49]) ).
cnf(c_228,plain,
ifeq(product(identity,X0,X1),true,ifeq(product(X2,X0,X3),true,product(inverse(X2),X3,X1),true),true) = true,
inference(demodulation,[status(thm)],[c_192,c_49]) ).
cnf(c_550,plain,
ifeq(true,true,ifeq(product(inverse(X0),identity,X1),true,product(X1,X0,identity),true),true) = true,
inference(superposition,[status(thm)],[c_50,c_226]) ).
cnf(c_555,plain,
ifeq(product(X0,X1,X0),true,ifeq(true,true,product(identity,X1,identity),true),true) = true,
inference(superposition,[status(thm)],[c_51,c_226]) ).
cnf(c_580,plain,
ifeq(true,true,ifeq(product(X0,X1,X2),true,product(inverse(X0),X2,X1),true),true) = true,
inference(superposition,[status(thm)],[c_50,c_228]) ).
cnf(c_634,plain,
ifeq(product(X0,X1,X0),true,product(identity,X1,identity),true) = true,
inference(demodulation,[status(thm)],[c_555,c_49]) ).
cnf(c_662,plain,
ifeq(product(X0,X1,X2),true,product(inverse(X0),X2,X1),true) = true,
inference(demodulation,[status(thm)],[c_580,c_49]) ).
cnf(c_669,plain,
ifeq(product(inverse(X0),identity,X1),true,product(X1,X0,identity),true) = true,
inference(demodulation,[status(thm)],[c_550,c_49]) ).
cnf(c_6186,plain,
ifeq(true,true,product(inverse(X0),multiply(X0,X1),X1),true) = true,
inference(superposition,[status(thm)],[c_52,c_662]) ).
cnf(c_6187,plain,
ifeq(true,true,product(inverse(sP0_iProver_def),identity,a),true) = true,
inference(superposition,[status(thm)],[c_167,c_662]) ).
cnf(c_6345,plain,
product(inverse(sP0_iProver_def),identity,a) = true,
inference(demodulation,[status(thm)],[c_6187,c_49]) ).
cnf(c_6368,plain,
product(inverse(X0),multiply(X0,X1),X1) = true,
inference(demodulation,[status(thm)],[c_6186,c_49]) ).
cnf(c_6638,plain,
product(sP1_iProver_def,multiply(b,X0),X0) = true,
inference(superposition,[status(thm)],[c_93,c_6368]) ).
cnf(c_6885,plain,
ifeq(true,true,product(inverse(sP0_iProver_def),identity,b),true) = true,
inference(superposition,[status(thm)],[c_6345,c_213]) ).
cnf(c_6900,plain,
product(inverse(sP0_iProver_def),identity,b) = true,
inference(demodulation,[status(thm)],[c_6885,c_49]) ).
cnf(c_7729,plain,
ifeq(true,true,product(identity,multiply(b,sP1_iProver_def),identity),true) = true,
inference(superposition,[status(thm)],[c_6638,c_634]) ).
cnf(c_7731,plain,
product(identity,multiply(b,sP1_iProver_def),identity) = true,
inference(demodulation,[status(thm)],[c_7729,c_49]) ).
cnf(c_9837,plain,
ifeq(true,true,equalish(multiply(b,sP1_iProver_def),identity),true) = true,
inference(superposition,[status(thm)],[c_7731,c_210]) ).
cnf(c_9857,plain,
equalish(multiply(b,sP1_iProver_def),identity) = true,
inference(demodulation,[status(thm)],[c_9837,c_49]) ).
cnf(c_10225,plain,
ifeq(true,true,product(b,sP1_iProver_def,identity),true) = true,
inference(superposition,[status(thm)],[c_9857,c_216]) ).
cnf(c_10406,plain,
product(b,sP1_iProver_def,identity) = true,
inference(demodulation,[status(thm)],[c_10225,c_49]) ).
cnf(c_10609,plain,
ifeq(true,true,product(inverse(b),identity,sP1_iProver_def),true) = true,
inference(superposition,[status(thm)],[c_10406,c_662]) ).
cnf(c_10796,plain,
ifeq(true,true,product(b,sP0_iProver_def,identity),true) = true,
inference(superposition,[status(thm)],[c_6900,c_669]) ).
cnf(c_10833,plain,
product(b,sP0_iProver_def,identity) = true,
inference(demodulation,[status(thm)],[c_10796,c_49]) ).
cnf(c_10839,plain,
product(sP1_iProver_def,identity,sP1_iProver_def) = true,
inference(demodulation,[status(thm)],[c_10609,c_49,c_93]) ).
cnf(c_11487,plain,
ifeq(true,true,product(inverse(b),identity,sP0_iProver_def),true) = true,
inference(superposition,[status(thm)],[c_10833,c_662]) ).
cnf(c_11629,plain,
ifeq(true,true,ifeq(product(sP1_iProver_def,identity,sP0_iProver_def),true,sP2_iProver_def,true),true) = true,
inference(superposition,[status(thm)],[c_10839,c_176]) ).
cnf(c_11767,plain,
product(sP1_iProver_def,identity,sP0_iProver_def) = true,
inference(demodulation,[status(thm)],[c_11487,c_49,c_93]) ).
cnf(c_11775,plain,
ifeq(true,true,ifeq(true,true,sP2_iProver_def,true),true) = true,
inference(demodulation,[status(thm)],[c_11629,c_11767]) ).
cnf(c_11776,plain,
true = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_11775,c_49]) ).
cnf(c_12484,plain,
$false,
inference(superposition,[status(thm)],[c_11776,c_95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP048-10 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n028.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 : Thu Jun 20 07:24:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.50 Running UEQ theorem proving
% 0.22/0.50 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
% 11.64/2.16 % SZS status Started for theBenchmark.p
% 11.64/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.64/2.16
% 11.64/2.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 11.64/2.16
% 11.64/2.16 ------ iProver source info
% 11.64/2.16
% 11.64/2.16 git: date: 2024-06-12 09:56:46 +0000
% 11.64/2.16 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 11.64/2.16 git: non_committed_changes: false
% 11.64/2.16
% 11.64/2.16 ------ Parsing...successful
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 11.64/2.16
% 11.64/2.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 11.64/2.16
% 11.64/2.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 11.64/2.16 ------ Proving...
% 11.64/2.16 ------ Problem Properties
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16 clauses 13
% 11.64/2.16 conjectures 1
% 11.64/2.16 EPR 1
% 11.64/2.16 Horn 13
% 11.64/2.16 unary 13
% 11.64/2.16 binary 0
% 11.64/2.16 lits 13
% 11.64/2.16 lits eq 13
% 11.64/2.16 fd_pure 0
% 11.64/2.16 fd_pseudo 0
% 11.64/2.16 fd_cond 0
% 11.64/2.16 fd_pseudo_cond 0
% 11.64/2.16 AC symbols 0
% 11.64/2.16
% 11.64/2.16 ------ Input Options Time Limit: Unbounded
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16 ------
% 11.64/2.16 Current options:
% 11.64/2.16 ------
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16 ------ Proving...
% 11.64/2.16
% 11.64/2.16
% 11.64/2.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.64/2.16
% 11.64/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.64/2.16
% 11.64/2.17
%------------------------------------------------------------------------------