TSTP Solution File: GRP586-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:23:00 EDT 2024
% Result : Unsatisfiable 3.90s 1.17s
% Output : CNFRefutation 3.90s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_60,plain,
double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_67,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_68,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_69,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_70,negated_conjecture,
sP2_iProver_def != a2,
inference(demodulation,[status(thm)],[c_51,c_67,c_68,c_69]) ).
cnf(c_114,plain,
double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1)))) = double_divide(X3,X2),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_115,plain,
double_divide(X0,multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1)))) = b2,
inference(superposition,[status(thm)],[c_67,c_60]) ).
cnf(c_116,plain,
double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_118,plain,
multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_124,plain,
double_divide(X0,multiply(multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1))),multiply(sP0_iProver_def,b2))) = b2,
inference(superposition,[status(thm)],[c_115,c_115]) ).
cnf(c_127,plain,
multiply(multiply(X0,multiply(sP0_iProver_def,double_divide(X1,X0))),X1) = inverse(b2),
inference(superposition,[status(thm)],[c_115,c_50]) ).
cnf(c_128,plain,
multiply(multiply(X0,multiply(sP0_iProver_def,double_divide(X1,X0))),X1) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_127,c_67]) ).
cnf(c_129,plain,
double_divide(X0,multiply(multiply(X1,multiply(sP0_iProver_def,double_divide(X0,X1))),sP1_iProver_def)) = b2,
inference(light_normalisation,[status(thm)],[c_124,c_68]) ).
cnf(c_140,plain,
double_divide(X0,multiply(X1,multiply(sP1_iProver_def,double_divide(X0,X1)))) = double_divide(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_68,c_114]) ).
cnf(c_204,plain,
multiply(multiply(X0,multiply(sP1_iProver_def,double_divide(X1,X0))),X1) = inverse(double_divide(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_140,c_50]) ).
cnf(c_285,plain,
multiply(multiply(X0,multiply(sP1_iProver_def,double_divide(X1,X0))),X1) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_204,c_50,c_68]) ).
cnf(c_303,plain,
double_divide(sP1_iProver_def,sP0_iProver_def) = b2,
inference(superposition,[status(thm)],[c_128,c_129]) ).
cnf(c_393,plain,
double_divide(sP1_iProver_def,multiply(sP0_iProver_def,multiply(inverse(X0),b2))) = X0,
inference(superposition,[status(thm)],[c_303,c_60]) ).
cnf(c_397,plain,
multiply(multiply(sP0_iProver_def,multiply(inverse(X0),b2)),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_303,c_118]) ).
cnf(c_581,plain,
double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_118,c_116]) ).
cnf(c_815,plain,
double_divide(multiply(inverse(X0),b2),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_67,c_581]) ).
cnf(c_1157,plain,
multiply(sP0_iProver_def,multiply(inverse(X0),b2)) = inverse(X0),
inference(superposition,[status(thm)],[c_815,c_50]) ).
cnf(c_1164,plain,
multiply(inverse(X0),sP1_iProver_def) = inverse(X0),
inference(demodulation,[status(thm)],[c_397,c_1157]) ).
cnf(c_1165,plain,
double_divide(sP1_iProver_def,inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_393,c_1157]) ).
cnf(c_1287,plain,
multiply(multiply(X0,X1),sP1_iProver_def) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_50,c_1164]) ).
cnf(c_2668,plain,
multiply(X0,multiply(sP1_iProver_def,double_divide(sP1_iProver_def,X0))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1287,c_285]) ).
cnf(c_3374,plain,
multiply(inverse(X0),multiply(sP1_iProver_def,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1165,c_2668]) ).
cnf(c_3416,plain,
multiply(inverse(a2),sP2_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_69,c_3374]) ).
cnf(c_3473,plain,
double_divide(sP1_iProver_def,inverse(sP2_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_3416,c_581]) ).
cnf(c_4350,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_3473,c_1165]) ).
cnf(c_4354,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_70,c_4350]) ).
cnf(c_4355,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_4354]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP586-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 00:30:15 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running UEQ theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.90/1.17 % SZS status Started for theBenchmark.p
% 3.90/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.17
% 3.90/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.90/1.17
% 3.90/1.17 ------ iProver source info
% 3.90/1.17
% 3.90/1.17 git: date: 2024-05-02 19:28:25 +0000
% 3.90/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.90/1.17 git: non_committed_changes: false
% 3.90/1.17
% 3.90/1.17 ------ Parsing...successful
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.90/1.17
% 3.90/1.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.90/1.17
% 3.90/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.90/1.17 ------ Proving...
% 3.90/1.17 ------ Problem Properties
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17 clauses 6
% 3.90/1.17 conjectures 1
% 3.90/1.17 EPR 1
% 3.90/1.17 Horn 6
% 3.90/1.17 unary 6
% 3.90/1.17 binary 0
% 3.90/1.17 lits 6
% 3.90/1.17 lits eq 6
% 3.90/1.17 fd_pure 0
% 3.90/1.17 fd_pseudo 0
% 3.90/1.17 fd_cond 0
% 3.90/1.17 fd_pseudo_cond 0
% 3.90/1.17 AC symbols 0
% 3.90/1.17
% 3.90/1.17 ------ Input Options Time Limit: Unbounded
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17 ------
% 3.90/1.17 Current options:
% 3.90/1.17 ------
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17 ------ Proving...
% 3.90/1.17
% 3.90/1.17
% 3.90/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.90/1.17
% 3.90/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.90/1.17
% 3.90/1.17
%------------------------------------------------------------------------------