TSTP Solution File: GRP483-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP483-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n018.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 02:22:43 EDT 2024
% Result : Unsatisfiable 3.85s 1.16s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = 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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
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(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(light_normalisation,[status(thm)],[c_49,c_51]) ).
cnf(c_70,plain,
double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(demodulation,[status(thm)],[c_69,c_51,c_52]) ).
cnf(c_78,plain,
multiply(a3,b3) = sP0_iProver_def,
definition ).
cnf(c_79,plain,
multiply(sP0_iProver_def,c3) = sP1_iProver_def,
definition ).
cnf(c_80,plain,
multiply(b3,c3) = sP2_iProver_def,
definition ).
cnf(c_81,plain,
multiply(a3,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_82,negated_conjecture,
sP1_iProver_def != sP3_iProver_def,
inference(demodulation,[status(thm)],[c_53,c_80,c_81,c_78,c_79]) ).
cnf(c_134,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_68]) ).
cnf(c_148,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(superposition,[status(thm)],[c_52,c_70]) ).
cnf(c_151,plain,
double_divide(double_divide(double_divide(X0,multiply(identity,X1)),double_divide(inverse(X2),inverse(X0))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_134,c_70]) ).
cnf(c_152,plain,
double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(superposition,[status(thm)],[c_52,c_70]) ).
cnf(c_358,plain,
double_divide(double_divide(identity,identity),inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_52,c_148]) ).
cnf(c_365,plain,
inverse(double_divide(identity,double_divide(inverse(X0),inverse(identity)))) = X0,
inference(superposition,[status(thm)],[c_148,c_51]) ).
cnf(c_409,plain,
double_divide(inverse(identity),inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_358,c_51]) ).
cnf(c_418,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_409,c_52]) ).
cnf(c_422,plain,
double_divide(identity,inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_409,c_418]) ).
cnf(c_476,plain,
double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(superposition,[status(thm)],[c_418,c_70]) ).
cnf(c_485,plain,
double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0) = X1,
inference(light_normalisation,[status(thm)],[c_476,c_422]) ).
cnf(c_500,plain,
double_divide(identity,multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_68,c_422]) ).
cnf(c_505,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_422,c_68]) ).
cnf(c_563,plain,
multiply(multiply(X0,X1),identity) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_68,c_505]) ).
cnf(c_845,plain,
double_divide(identity,sP0_iProver_def) = double_divide(b3,a3),
inference(superposition,[status(thm)],[c_78,c_500]) ).
cnf(c_846,plain,
double_divide(identity,sP2_iProver_def) = double_divide(c3,b3),
inference(superposition,[status(thm)],[c_80,c_500]) ).
cnf(c_1116,plain,
inverse(double_divide(identity,double_divide(inverse(X0),identity))) = X0,
inference(light_normalisation,[status(thm)],[c_365,c_418]) ).
cnf(c_1117,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_1116,c_51,c_68,c_134,c_563]) ).
cnf(c_1121,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_134,c_1117]) ).
cnf(c_1122,plain,
double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),inverse(X0))),inverse(X1)) = X2,
inference(demodulation,[status(thm)],[c_151,c_1117]) ).
cnf(c_1132,plain,
double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_1117,c_500]) ).
cnf(c_1139,plain,
double_divide(identity,X0) = inverse(X0),
inference(light_normalisation,[status(thm)],[c_1132,c_51]) ).
cnf(c_1144,plain,
double_divide(b3,a3) = inverse(sP0_iProver_def),
inference(demodulation,[status(thm)],[c_845,c_1139]) ).
cnf(c_1146,plain,
double_divide(c3,b3) = inverse(sP2_iProver_def),
inference(demodulation,[status(thm)],[c_846,c_1139]) ).
cnf(c_1395,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_485,c_51,c_1121]) ).
cnf(c_1402,plain,
double_divide(inverse(sP2_iProver_def),c3) = b3,
inference(superposition,[status(thm)],[c_1146,c_1395]) ).
cnf(c_1412,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1395,c_1395]) ).
cnf(c_1415,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1395,c_68]) ).
cnf(c_1428,plain,
multiply(b3,inverse(sP0_iProver_def)) = inverse(a3),
inference(superposition,[status(thm)],[c_1144,c_1415]) ).
cnf(c_1435,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_1395,c_1415]) ).
cnf(c_1468,plain,
double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(demodulation,[status(thm)],[c_152,c_51,c_68]) ).
cnf(c_1478,plain,
double_divide(multiply(inverse(X0),X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_1121,c_1468]) ).
cnf(c_1487,plain,
multiply(X0,multiply(inverse(X0),inverse(X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_1468,c_68]) ).
cnf(c_1568,plain,
double_divide(b3,inverse(sP2_iProver_def)) = c3,
inference(superposition,[status(thm)],[c_1402,c_1395]) ).
cnf(c_2013,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_1121,c_1487]) ).
cnf(c_2136,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1415,c_2013]) ).
cnf(c_2162,plain,
double_divide(inverse(b3),sP0_iProver_def) = inverse(a3),
inference(demodulation,[status(thm)],[c_1428,c_2136]) ).
cnf(c_2304,plain,
double_divide(inverse(a3),inverse(b3)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2162,c_1395]) ).
cnf(c_2763,plain,
double_divide(double_divide(double_divide(b3,X0),sP0_iProver_def),inverse(X0)) = a3,
inference(superposition,[status(thm)],[c_2304,c_1122]) ).
cnf(c_3430,plain,
double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1478,c_1412]) ).
cnf(c_3555,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_68,c_3430]) ).
cnf(c_4292,plain,
multiply(multiply(sP0_iProver_def,double_divide(b3,X0)),X0) = a3,
inference(demodulation,[status(thm)],[c_2763,c_3555]) ).
cnf(c_4300,plain,
multiply(multiply(sP0_iProver_def,c3),inverse(sP2_iProver_def)) = a3,
inference(superposition,[status(thm)],[c_1568,c_4292]) ).
cnf(c_4309,plain,
multiply(sP1_iProver_def,inverse(sP2_iProver_def)) = a3,
inference(light_normalisation,[status(thm)],[c_4300,c_79]) ).
cnf(c_4325,plain,
double_divide(inverse(sP1_iProver_def),sP2_iProver_def) = a3,
inference(demodulation,[status(thm)],[c_4309,c_2136]) ).
cnf(c_4330,plain,
multiply(a3,sP2_iProver_def) = inverse(inverse(sP1_iProver_def)),
inference(superposition,[status(thm)],[c_4325,c_1435]) ).
cnf(c_4337,plain,
inverse(inverse(sP1_iProver_def)) = sP3_iProver_def,
inference(light_normalisation,[status(thm)],[c_4330,c_81]) ).
cnf(c_4372,plain,
sP1_iProver_def = sP3_iProver_def,
inference(demodulation,[status(thm)],[c_4337,c_1121]) ).
cnf(c_4373,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4372,c_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP483-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 00:15:46 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running UEQ theorem proving
% 0.21/0.47 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
% 3.85/1.16 % SZS status Started for theBenchmark.p
% 3.85/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.16
% 3.85/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.16
% 3.85/1.16 ------ iProver source info
% 3.85/1.16
% 3.85/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.16 git: non_committed_changes: false
% 3.85/1.16
% 3.85/1.16 ------ Parsing...successful
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.85/1.16
% 3.85/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.16
% 3.85/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.85/1.16 ------ Proving...
% 3.85/1.16 ------ Problem Properties
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16 clauses 9
% 3.85/1.16 conjectures 1
% 3.85/1.16 EPR 1
% 3.85/1.16 Horn 9
% 3.85/1.16 unary 9
% 3.85/1.16 binary 0
% 3.85/1.16 lits 9
% 3.85/1.16 lits eq 9
% 3.85/1.16 fd_pure 0
% 3.85/1.16 fd_pseudo 0
% 3.85/1.16 fd_cond 0
% 3.85/1.16 fd_pseudo_cond 0
% 3.85/1.16 AC symbols 0
% 3.85/1.16
% 3.85/1.16 ------ Input Options Time Limit: Unbounded
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16 ------
% 3.85/1.16 Current options:
% 3.85/1.16 ------
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16 ------ Proving...
% 3.85/1.16
% 3.85/1.16
% 3.85/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.16
% 3.85/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.16
% 3.85/1.16
%------------------------------------------------------------------------------