TSTP Solution File: GRP578-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP578-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 May 3 02:22:58 EDT 2024
% Result : Unsatisfiable 3.31s 1.11s
% Output : CNFRefutation 3.31s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_68,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_69,plain,
double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),inverse(X1))),inverse(identity)) = X2,
inference(demodulation,[status(thm)],[c_49,c_51]) ).
cnf(c_77,plain,
multiply(identity,a2) = sP0_iProver_def,
definition ).
cnf(c_78,negated_conjecture,
sP0_iProver_def != a2,
inference(demodulation,[status(thm)],[c_53,c_77]) ).
cnf(c_124,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_125,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_68]) ).
cnf(c_126,plain,
double_divide(double_divide(X0,X1),multiply(X1,X0)) = identity,
inference(superposition,[status(thm)],[c_68,c_52]) ).
cnf(c_130,plain,
multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_68,c_124]) ).
cnf(c_148,plain,
double_divide(double_divide(X0,double_divide(inverse(double_divide(X1,X0)),inverse(X1))),inverse(identity)) = identity,
inference(superposition,[status(thm)],[c_51,c_69]) ).
cnf(c_152,plain,
double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X1),inverse(X0))),inverse(identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_155,plain,
double_divide(double_divide(X0,double_divide(double_divide(double_divide(double_divide(X1,X2),X0),X3),multiply(X2,X1))),inverse(identity)) = X3,
inference(superposition,[status(thm)],[c_68,c_69]) ).
cnf(c_210,plain,
double_divide(double_divide(X0,double_divide(identity,inverse(X1))),inverse(identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_126,c_69]) ).
cnf(c_340,plain,
double_divide(double_divide(X0,identity),inverse(identity)) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_52,c_210]) ).
cnf(c_351,plain,
double_divide(inverse(X0),inverse(identity)) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_340,c_51]) ).
cnf(c_381,plain,
double_divide(multiply(X0,X1),inverse(identity)) = multiply(double_divide(X1,X0),identity),
inference(superposition,[status(thm)],[c_68,c_351]) ).
cnf(c_388,plain,
multiply(inverse(identity),inverse(X0)) = inverse(multiply(X0,identity)),
inference(superposition,[status(thm)],[c_351,c_68]) ).
cnf(c_568,plain,
double_divide(double_divide(X0,double_divide(multiply(X0,X1),inverse(X1))),inverse(identity)) = identity,
inference(demodulation,[status(thm)],[c_148,c_68]) ).
cnf(c_590,plain,
double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)) = double_divide(double_divide(X0,identity),inverse(identity)),
inference(superposition,[status(thm)],[c_568,c_69]) ).
cnf(c_591,plain,
double_divide(multiply(double_divide(identity,X0),X1),inverse(X1)) = multiply(X0,identity),
inference(light_normalisation,[status(thm)],[c_590,c_51,c_351]) ).
cnf(c_714,plain,
double_divide(multiply(identity,X0),inverse(X0)) = multiply(inverse(identity),identity),
inference(superposition,[status(thm)],[c_52,c_591]) ).
cnf(c_723,plain,
multiply(double_divide(identity,double_divide(identity,X0)),identity) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_591,c_381]) ).
cnf(c_819,plain,
double_divide(multiply(identity,X0),inverse(X0)) = inverse(identity),
inference(demodulation,[status(thm)],[c_714,c_125]) ).
cnf(c_824,plain,
double_divide(multiply(identity,double_divide(X0,X1)),multiply(X1,X0)) = inverse(identity),
inference(superposition,[status(thm)],[c_68,c_819]) ).
cnf(c_834,plain,
double_divide(inverse(multiply(X0,X1)),multiply(X0,X1)) = inverse(identity),
inference(light_normalisation,[status(thm)],[c_824,c_130]) ).
cnf(c_1435,plain,
double_divide(double_divide(inverse(double_divide(identity,X0)),identity),inverse(identity)) = X0,
inference(superposition,[status(thm)],[c_52,c_152]) ).
cnf(c_1523,plain,
multiply(multiply(X0,identity),identity) = X0,
inference(demodulation,[status(thm)],[c_1435,c_51,c_124,c_130,c_351]) ).
cnf(c_1525,plain,
double_divide(identity,double_divide(identity,X0)) = multiply(multiply(X0,identity),identity),
inference(superposition,[status(thm)],[c_723,c_1523]) ).
cnf(c_1526,plain,
double_divide(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_1523,c_834]) ).
cnf(c_1531,plain,
double_divide(identity,double_divide(identity,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1525,c_1523]) ).
cnf(c_1556,plain,
inverse(inverse(identity)) = inverse(identity),
inference(superposition,[status(thm)],[c_1526,c_51]) ).
cnf(c_1616,plain,
multiply(identity,identity) = inverse(identity),
inference(demodulation,[status(thm)],[c_1556,c_124]) ).
cnf(c_1635,plain,
multiply(inverse(identity),identity) = identity,
inference(superposition,[status(thm)],[c_1616,c_1523]) ).
cnf(c_1670,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm)],[c_1635,c_125]) ).
cnf(c_1684,plain,
double_divide(multiply(X0,X1),identity) = multiply(double_divide(X1,X0),identity),
inference(demodulation,[status(thm)],[c_381,c_1670]) ).
cnf(c_1685,plain,
multiply(identity,inverse(X0)) = inverse(multiply(X0,identity)),
inference(demodulation,[status(thm)],[c_388,c_1670]) ).
cnf(c_1800,plain,
multiply(double_divide(identity,X0),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_1531,c_68]) ).
cnf(c_1830,plain,
double_divide(double_divide(X0,double_divide(double_divide(double_divide(double_divide(X1,X2),X0),X3),multiply(X2,X1))),identity) = X3,
inference(light_normalisation,[status(thm)],[c_155,c_1670]) ).
cnf(c_1831,plain,
multiply(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),X3),multiply(X1,X0)),X2) = X3,
inference(demodulation,[status(thm)],[c_1830,c_51,c_68]) ).
cnf(c_1959,plain,
multiply(identity,inverse(X0)) = inverse(X0),
inference(demodulation,[status(thm)],[c_1800,c_51,c_1684,c_1685]) ).
cnf(c_1972,plain,
multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_68,c_1959]) ).
cnf(c_2348,plain,
multiply(identity,X0) = X0,
inference(superposition,[status(thm)],[c_1831,c_1972]) ).
cnf(c_2360,plain,
a2 = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_77,c_2348]) ).
cnf(c_2366,plain,
sP0_iProver_def != sP0_iProver_def,
inference(demodulation,[status(thm)],[c_78,c_2360]) ).
cnf(c_2367,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_2366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP578-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 23:50:12 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running UEQ theorem proving
% 0.17/0.43 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.31/1.11 % SZS status Started for theBenchmark.p
% 3.31/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.11
% 3.31/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.31/1.11
% 3.31/1.11 ------ iProver source info
% 3.31/1.11
% 3.31/1.11 git: date: 2024-05-02 19:28:25 +0000
% 3.31/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.31/1.11 git: non_committed_changes: false
% 3.31/1.11
% 3.31/1.11 ------ Parsing...successful
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.31/1.11
% 3.31/1.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.31/1.11
% 3.31/1.11 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.31/1.11 ------ Proving...
% 3.31/1.11 ------ Problem Properties
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11 clauses 6
% 3.31/1.11 conjectures 1
% 3.31/1.11 EPR 1
% 3.31/1.11 Horn 6
% 3.31/1.11 unary 6
% 3.31/1.11 binary 0
% 3.31/1.11 lits 6
% 3.31/1.11 lits eq 6
% 3.31/1.11 fd_pure 0
% 3.31/1.11 fd_pseudo 0
% 3.31/1.11 fd_cond 0
% 3.31/1.11 fd_pseudo_cond 0
% 3.31/1.11 AC symbols 0
% 3.31/1.11
% 3.31/1.11 ------ Input Options Time Limit: Unbounded
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11 ------
% 3.31/1.11 Current options:
% 3.31/1.11 ------
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11 ------ Proving...
% 3.31/1.11
% 3.31/1.11
% 3.31/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.31/1.11
% 3.31/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.31/1.11
% 3.31/1.12
%------------------------------------------------------------------------------