TSTP Solution File: GRP594-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n011.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 02:23:01 EDT 2024
% Result : Unsatisfiable 3.85s 1.15s
% Output : CNFRefutation 3.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(c_60,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_49,c_50]) ).
cnf(c_66,plain,
inverse(b2) = sP0_iProver_def,
definition ).
cnf(c_67,plain,
multiply(sP0_iProver_def,b2) = sP1_iProver_def,
definition ).
cnf(c_68,plain,
multiply(sP1_iProver_def,a2) = sP2_iProver_def,
definition ).
cnf(c_69,negated_conjecture,
sP2_iProver_def != a2,
inference(demodulation,[status(thm)],[c_51,c_66,c_67,c_68]) ).
cnf(c_109,plain,
multiply(multiply(sP1_iProver_def,X0),double_divide(X0,sP0_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_67,c_60]) ).
cnf(c_110,plain,
multiply(multiply(sP2_iProver_def,X0),double_divide(X0,sP1_iProver_def)) = a2,
inference(superposition,[status(thm)],[c_68,c_60]) ).
cnf(c_111,plain,
multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_112,plain,
multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_118,plain,
multiply(multiply(b2,X0),double_divide(X0,multiply(sP1_iProver_def,X1))) = double_divide(X1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_109,c_60]) ).
cnf(c_119,plain,
multiply(b2,double_divide(double_divide(X0,sP0_iProver_def),sP1_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_109,c_60]) ).
cnf(c_125,plain,
multiply(multiply(a2,X0),double_divide(X0,multiply(sP2_iProver_def,X1))) = double_divide(X1,sP1_iProver_def),
inference(superposition,[status(thm)],[c_110,c_60]) ).
cnf(c_126,plain,
multiply(a2,double_divide(double_divide(X0,sP1_iProver_def),sP2_iProver_def)) = X0,
inference(superposition,[status(thm)],[c_110,c_60]) ).
cnf(c_129,plain,
multiply(multiply(X0,X1),double_divide(X1,b2)) = double_divide(double_divide(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_119,c_60]) ).
cnf(c_131,plain,
multiply(multiply(X0,X1),double_divide(X1,a2)) = double_divide(double_divide(X0,sP1_iProver_def),sP2_iProver_def),
inference(superposition,[status(thm)],[c_126,c_60]) ).
cnf(c_209,plain,
double_divide(multiply(b2,double_divide(X0,sP1_iProver_def)),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_118,c_112]) ).
cnf(c_230,plain,
multiply(multiply(sP1_iProver_def,multiply(b2,double_divide(X0,sP1_iProver_def))),X0) = b2,
inference(superposition,[status(thm)],[c_209,c_109]) ).
cnf(c_260,plain,
double_divide(multiply(a2,double_divide(X0,sP2_iProver_def)),sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_125,c_112]) ).
cnf(c_285,plain,
double_divide(multiply(b2,X0),sP0_iProver_def) = multiply(a2,double_divide(X0,sP2_iProver_def)),
inference(superposition,[status(thm)],[c_260,c_209]) ).
cnf(c_287,plain,
double_divide(double_divide(multiply(b2,X0),sP0_iProver_def),sP1_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_260,c_285]) ).
cnf(c_322,plain,
multiply(multiply(sP2_iProver_def,double_divide(multiply(b2,X0),sP0_iProver_def)),X0) = a2,
inference(superposition,[status(thm)],[c_287,c_110]) ).
cnf(c_424,plain,
double_divide(multiply(X0,double_divide(X1,multiply(X2,X0))),X2) = X1,
inference(superposition,[status(thm)],[c_111,c_112]) ).
cnf(c_732,plain,
double_divide(double_divide(multiply(a2,X0),sP1_iProver_def),sP2_iProver_def) = X0,
inference(superposition,[status(thm)],[c_131,c_60]) ).
cnf(c_893,plain,
double_divide(double_divide(multiply(X0,X1),X2),multiply(X2,X0)) = X1,
inference(superposition,[status(thm)],[c_111,c_424]) ).
cnf(c_1170,plain,
double_divide(double_divide(sP1_iProver_def,X0),multiply(X0,sP0_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_67,c_893]) ).
cnf(c_1217,plain,
multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0)) = inverse(X2),
inference(superposition,[status(thm)],[c_893,c_50]) ).
cnf(c_1401,plain,
multiply(multiply(X0,sP0_iProver_def),double_divide(sP1_iProver_def,X0)) = inverse(b2),
inference(superposition,[status(thm)],[c_1170,c_50]) ).
cnf(c_1410,plain,
multiply(multiply(X0,sP0_iProver_def),double_divide(sP1_iProver_def,X0)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_1401,c_66]) ).
cnf(c_1588,plain,
multiply(sP0_iProver_def,double_divide(double_divide(sP1_iProver_def,X0),X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1410,c_60]) ).
cnf(c_1647,plain,
double_divide(sP1_iProver_def,multiply(X0,sP0_iProver_def)) = double_divide(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_1588,c_424]) ).
cnf(c_2683,plain,
multiply(multiply(X0,sP0_iProver_def),sP1_iProver_def) = inverse(double_divide(sP0_iProver_def,X0)),
inference(superposition,[status(thm)],[c_1647,c_50]) ).
cnf(c_2864,plain,
multiply(multiply(X0,sP0_iProver_def),sP1_iProver_def) = multiply(X0,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_2683,c_50]) ).
cnf(c_2865,plain,
multiply(b2,sP1_iProver_def) = b2,
inference(superposition,[status(thm)],[c_230,c_2864]) ).
cnf(c_2866,plain,
multiply(a2,sP1_iProver_def) = a2,
inference(superposition,[status(thm)],[c_322,c_2864]) ).
cnf(c_2925,plain,
multiply(b2,double_divide(multiply(sP1_iProver_def,X0),b2)) = inverse(X0),
inference(superposition,[status(thm)],[c_2865,c_1217]) ).
cnf(c_2933,plain,
double_divide(double_divide(multiply(sP1_iProver_def,X0),b2),b2) = X0,
inference(superposition,[status(thm)],[c_2865,c_893]) ).
cnf(c_2939,plain,
double_divide(double_divide(b2,sP0_iProver_def),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2865,c_287]) ).
cnf(c_4456,plain,
multiply(inverse(X0),double_divide(double_divide(multiply(sP1_iProver_def,X0),b2),b2)) = double_divide(double_divide(b2,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_2925,c_129]) ).
cnf(c_4474,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_4456,c_2933,c_2939]) ).
cnf(c_4561,plain,
multiply(multiply(X0,X1),double_divide(X1,X0)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_50,c_4474]) ).
cnf(c_4575,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4474,c_2864]) ).
cnf(c_4653,plain,
double_divide(double_divide(sP1_iProver_def,b2),b2) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4575,c_2933]) ).
cnf(c_4654,plain,
multiply(sP1_iProver_def,double_divide(sP1_iProver_def,sP0_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_4575,c_109]) ).
cnf(c_4772,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_4653,c_1588]) ).
cnf(c_4792,plain,
multiply(sP1_iProver_def,double_divide(b2,sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_67,c_4561]) ).
cnf(c_4804,plain,
multiply(a2,double_divide(sP1_iProver_def,a2)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2866,c_4561]) ).
cnf(c_4816,plain,
multiply(b2,double_divide(sP1_iProver_def,b2)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2865,c_4561]) ).
cnf(c_5140,plain,
double_divide(double_divide(sP1_iProver_def,b2),b2) = double_divide(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_4792,c_2933]) ).
cnf(c_5142,plain,
double_divide(b2,sP0_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_5140,c_4653]) ).
cnf(c_5149,plain,
double_divide(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_2939,c_5142]) ).
cnf(c_5269,plain,
multiply(sP0_iProver_def,double_divide(sP1_iProver_def,sP0_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_4772,c_4561]) ).
cnf(c_5435,plain,
multiply(b2,double_divide(b2,b2)) = inverse(double_divide(sP1_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_4654,c_2925]) ).
cnf(c_5484,plain,
double_divide(double_divide(sP1_iProver_def,sP1_iProver_def),sP2_iProver_def) = double_divide(sP1_iProver_def,a2),
inference(superposition,[status(thm)],[c_4804,c_732]) ).
cnf(c_5486,plain,
double_divide(sP1_iProver_def,a2) = double_divide(sP1_iProver_def,sP2_iProver_def),
inference(light_normalisation,[status(thm)],[c_5484,c_5149]) ).
cnf(c_5562,plain,
double_divide(double_divide(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def) = double_divide(sP1_iProver_def,b2),
inference(superposition,[status(thm)],[c_4816,c_287]) ).
cnf(c_5633,plain,
multiply(multiply(sP1_iProver_def,X0),double_divide(X0,sP0_iProver_def)) = double_divide(sP1_iProver_def,sP0_iProver_def),
inference(superposition,[status(thm)],[c_5269,c_60]) ).
cnf(c_5634,plain,
multiply(multiply(X0,sP0_iProver_def),double_divide(sP1_iProver_def,X0)) = inverse(double_divide(sP1_iProver_def,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5269,c_1217]) ).
cnf(c_5639,plain,
double_divide(sP1_iProver_def,sP0_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_5633,c_109]) ).
cnf(c_5641,plain,
inverse(double_divide(sP1_iProver_def,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5634,c_1410]) ).
cnf(c_5643,plain,
multiply(sP1_iProver_def,b2) = b2,
inference(demodulation,[status(thm)],[c_4654,c_5639]) ).
cnf(c_5723,plain,
double_divide(double_divide(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def) = multiply(b2,double_divide(b2,b2)),
inference(superposition,[status(thm)],[c_5643,c_129]) ).
cnf(c_5737,plain,
double_divide(sP1_iProver_def,b2) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5723,c_5435,c_5562,c_5641]) ).
cnf(c_5740,plain,
double_divide(sP0_iProver_def,b2) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_4653,c_5737]) ).
cnf(c_6382,plain,
double_divide(double_divide(X0,sP0_iProver_def),sP1_iProver_def) = multiply(multiply(X0,sP0_iProver_def),sP1_iProver_def),
inference(superposition,[status(thm)],[c_5740,c_129]) ).
cnf(c_6388,plain,
double_divide(double_divide(X0,sP0_iProver_def),sP1_iProver_def) = multiply(X0,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_6382,c_2864]) ).
cnf(c_6391,plain,
multiply(multiply(b2,X0),sP0_iProver_def) = X0,
inference(demodulation,[status(thm)],[c_287,c_6388]) ).
cnf(c_6965,plain,
inverse(double_divide(sP1_iProver_def,sP2_iProver_def)) = multiply(a2,sP1_iProver_def),
inference(superposition,[status(thm)],[c_5486,c_50]) ).
cnf(c_6967,plain,
inverse(double_divide(sP1_iProver_def,sP2_iProver_def)) = a2,
inference(light_normalisation,[status(thm)],[c_6965,c_2866]) ).
cnf(c_6983,plain,
multiply(sP2_iProver_def,sP1_iProver_def) = a2,
inference(demodulation,[status(thm)],[c_6967,c_50]) ).
cnf(c_7137,plain,
multiply(X0,sP1_iProver_def) = X0,
inference(superposition,[status(thm)],[c_6391,c_2864]) ).
cnf(c_7145,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_6983,c_7137]) ).
cnf(c_7165,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_69,c_7145]) ).
cnf(c_7166,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_7165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP594-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n011.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 : Thu May 2 23:46:19 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
% 3.85/1.15 % SZS status Started for theBenchmark.p
% 3.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.15
% 3.85/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.85/1.15
% 3.85/1.15 ------ iProver source info
% 3.85/1.15
% 3.85/1.15 git: date: 2024-05-02 19:28:25 +0000
% 3.85/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.85/1.15 git: non_committed_changes: false
% 3.85/1.15
% 3.85/1.15 ------ Parsing...successful
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.85/1.15
% 3.85/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.85/1.15 ------ Proving...
% 3.85/1.15 ------ Problem Properties
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 clauses 6
% 3.85/1.15 conjectures 1
% 3.85/1.15 EPR 1
% 3.85/1.15 Horn 6
% 3.85/1.15 unary 6
% 3.85/1.15 binary 0
% 3.85/1.15 lits 6
% 3.85/1.15 lits eq 6
% 3.85/1.15 fd_pure 0
% 3.85/1.15 fd_pseudo 0
% 3.85/1.15 fd_cond 0
% 3.85/1.15 fd_pseudo_cond 0
% 3.85/1.15 AC symbols 0
% 3.85/1.15
% 3.85/1.15 ------ Input Options Time Limit: Unbounded
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------
% 3.85/1.15 Current options:
% 3.85/1.15 ------
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 ------ Proving...
% 3.85/1.15
% 3.85/1.15
% 3.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.85/1.15
% 3.85/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.85/1.15
% 3.85/1.15
%------------------------------------------------------------------------------