TSTP Solution File: GRP590-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP590-1 : 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 02:23:01 EDT 2024
% Result : Unsatisfiable 3.64s 1.16s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,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(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
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(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)),X3) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_60]) ).
cnf(c_115,plain,
double_divide(multiply(multiply(sP0_iProver_def,X0),double_divide(X0,X1)),X1) = b2,
inference(superposition,[status(thm)],[c_67,c_60]) ).
cnf(c_117,plain,
multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(superposition,[status(thm)],[c_60,c_50]) ).
cnf(c_118,plain,
double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(superposition,[status(thm)],[c_60,c_60]) ).
cnf(c_123,plain,
double_divide(multiply(sP1_iProver_def,double_divide(b2,X0)),X0) = b2,
inference(superposition,[status(thm)],[c_68,c_115]) ).
cnf(c_127,plain,
multiply(X0,multiply(multiply(sP0_iProver_def,X1),double_divide(X1,X0))) = inverse(b2),
inference(superposition,[status(thm)],[c_115,c_50]) ).
cnf(c_129,plain,
multiply(X0,multiply(multiply(sP0_iProver_def,X1),double_divide(X1,X0))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_127,c_67]) ).
cnf(c_135,plain,
double_divide(multiply(multiply(sP0_iProver_def,multiply(sP1_iProver_def,double_divide(b2,X0))),b2),X0) = b2,
inference(superposition,[status(thm)],[c_123,c_115]) ).
cnf(c_136,plain,
multiply(X0,multiply(sP1_iProver_def,double_divide(b2,X0))) = inverse(b2),
inference(superposition,[status(thm)],[c_123,c_50]) ).
cnf(c_138,plain,
multiply(X0,multiply(sP1_iProver_def,double_divide(b2,X0))) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_136,c_67]) ).
cnf(c_142,plain,
double_divide(multiply(multiply(sP1_iProver_def,X0),double_divide(X0,X1)),X1) = double_divide(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_68,c_114]) ).
cnf(c_270,plain,
double_divide(multiply(sP2_iProver_def,double_divide(a2,X0)),X0) = double_divide(b2,sP0_iProver_def),
inference(superposition,[status(thm)],[c_69,c_142]) ).
cnf(c_331,plain,
multiply(X0,multiply(sP2_iProver_def,double_divide(a2,X0))) = inverse(double_divide(b2,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_270,c_50]) ).
cnf(c_368,plain,
multiply(X0,multiply(sP2_iProver_def,double_divide(a2,X0))) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_331,c_50,c_68]) ).
cnf(c_403,plain,
double_divide(multiply(sP0_iProver_def,b2),sP0_iProver_def) = b2,
inference(superposition,[status(thm)],[c_138,c_135]) ).
cnf(c_411,plain,
double_divide(sP1_iProver_def,sP0_iProver_def) = b2,
inference(light_normalisation,[status(thm)],[c_403,c_68]) ).
cnf(c_425,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = inverse(b2),
inference(superposition,[status(thm)],[c_411,c_50]) ).
cnf(c_427,plain,
double_divide(multiply(multiply(inverse(X0),sP1_iProver_def),b2),sP0_iProver_def) = X0,
inference(superposition,[status(thm)],[c_411,c_60]) ).
cnf(c_429,plain,
multiply(sP0_iProver_def,multiply(multiply(inverse(X0),sP1_iProver_def),b2)) = inverse(X0),
inference(superposition,[status(thm)],[c_411,c_117]) ).
cnf(c_430,plain,
multiply(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_425,c_67]) ).
cnf(c_547,plain,
multiply(sP0_iProver_def,multiply(multiply(sP0_iProver_def,multiply(multiply(inverse(X0),sP1_iProver_def),b2)),X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_427,c_129]) ).
cnf(c_551,plain,
multiply(sP0_iProver_def,multiply(inverse(X0),X0)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_547,c_429]) ).
cnf(c_616,plain,
double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(superposition,[status(thm)],[c_117,c_118]) ).
cnf(c_974,plain,
double_divide(multiply(sP0_iProver_def,b2),inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_67,c_616]) ).
cnf(c_979,plain,
double_divide(multiply(multiply(sP0_iProver_def,multiply(inverse(X0),X0)),X1),inverse(X1)) = b2,
inference(superposition,[status(thm)],[c_616,c_115]) ).
cnf(c_988,plain,
double_divide(sP1_iProver_def,inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_974,c_68]) ).
cnf(c_989,plain,
double_divide(multiply(sP0_iProver_def,X0),inverse(X0)) = b2,
inference(light_normalisation,[status(thm)],[c_979,c_551]) ).
cnf(c_1040,plain,
double_divide(sP1_iProver_def,multiply(X0,X1)) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_50,c_988]) ).
cnf(c_1045,plain,
multiply(inverse(X0),sP1_iProver_def) = inverse(X0),
inference(superposition,[status(thm)],[c_988,c_50]) ).
cnf(c_1115,plain,
multiply(multiply(X0,X1),sP1_iProver_def) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_50,c_1045]) ).
cnf(c_1125,plain,
multiply(sP0_iProver_def,inverse(sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_1045,c_551]) ).
cnf(c_1241,plain,
double_divide(sP0_iProver_def,inverse(sP1_iProver_def)) = b2,
inference(superposition,[status(thm)],[c_430,c_989]) ).
cnf(c_1246,plain,
double_divide(sP0_iProver_def,inverse(inverse(sP1_iProver_def))) = b2,
inference(superposition,[status(thm)],[c_1125,c_989]) ).
cnf(c_1342,plain,
multiply(inverse(sP1_iProver_def),sP0_iProver_def) = inverse(b2),
inference(superposition,[status(thm)],[c_1241,c_50]) ).
cnf(c_1350,plain,
multiply(inverse(sP1_iProver_def),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_1342,c_67]) ).
cnf(c_1389,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1350,c_60]) ).
cnf(c_1401,plain,
multiply(inverse(inverse(sP1_iProver_def)),sP0_iProver_def) = inverse(b2),
inference(superposition,[status(thm)],[c_1246,c_50]) ).
cnf(c_1409,plain,
multiply(inverse(inverse(sP1_iProver_def)),sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_1401,c_67]) ).
cnf(c_1443,plain,
double_divide(multiply(sP0_iProver_def,double_divide(sP0_iProver_def,X0)),X0) = inverse(sP1_iProver_def),
inference(superposition,[status(thm)],[c_1409,c_60]) ).
cnf(c_1446,plain,
inverse(sP1_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1443,c_1389]) ).
cnf(c_1460,plain,
multiply(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1446,c_1045]) ).
cnf(c_1461,plain,
double_divide(sP1_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1446,c_988]) ).
cnf(c_1467,plain,
double_divide(multiply(inverse(X0),X0),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_1446,c_616]) ).
cnf(c_1828,plain,
double_divide(multiply(multiply(multiply(X0,X1),sP1_iProver_def),sP1_iProver_def),sP1_iProver_def) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_1461,c_114]) ).
cnf(c_1841,plain,
double_divide(multiply(X0,X1),sP1_iProver_def) = double_divide(X1,X0),
inference(light_normalisation,[status(thm)],[c_1828,c_1115]) ).
cnf(c_2196,plain,
double_divide(a2,sP1_iProver_def) = double_divide(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_69,c_1040]) ).
cnf(c_2293,plain,
inverse(double_divide(sP1_iProver_def,sP2_iProver_def)) = multiply(sP1_iProver_def,a2),
inference(superposition,[status(thm)],[c_2196,c_50]) ).
cnf(c_2303,plain,
inverse(double_divide(sP1_iProver_def,sP2_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_2293,c_69]) ).
cnf(c_2322,plain,
multiply(sP2_iProver_def,sP1_iProver_def) = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_2303,c_50]) ).
cnf(c_2359,plain,
double_divide(X0,inverse(X0)) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1467,c_1841]) ).
cnf(c_2378,plain,
multiply(inverse(a2),multiply(sP2_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2359,c_368]) ).
cnf(c_2381,plain,
multiply(inverse(X0),X0) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2359,c_616]) ).
cnf(c_2385,plain,
multiply(inverse(a2),sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_2378,c_2322]) ).
cnf(c_2453,plain,
double_divide(multiply(sP1_iProver_def,double_divide(X0,X1)),X1) = X0,
inference(superposition,[status(thm)],[c_2381,c_60]) ).
cnf(c_2487,plain,
double_divide(sP2_iProver_def,inverse(a2)) = double_divide(sP1_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_2385,c_1040]) ).
cnf(c_2489,plain,
double_divide(sP2_iProver_def,inverse(a2)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_2487,c_1461]) ).
cnf(c_3145,plain,
double_divide(multiply(sP1_iProver_def,sP1_iProver_def),inverse(a2)) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_2489,c_2453]) ).
cnf(c_3159,plain,
double_divide(sP1_iProver_def,inverse(a2)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_3145,c_1460]) ).
cnf(c_3283,plain,
a2 = sP2_iProver_def,
inference(demodulation,[status(thm)],[c_3159,c_988]) ).
cnf(c_3288,plain,
sP2_iProver_def != sP2_iProver_def,
inference(demodulation,[status(thm)],[c_70,c_3283]) ).
cnf(c_3289,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_3288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:25:15 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running UEQ theorem proving
% 0.21/0.48 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
% 3.64/1.16 % SZS status Started for theBenchmark.p
% 3.64/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.16
% 3.64/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.64/1.16
% 3.64/1.16 ------ iProver source info
% 3.64/1.16
% 3.64/1.16 git: date: 2024-05-02 19:28:25 +0000
% 3.64/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.64/1.16 git: non_committed_changes: false
% 3.64/1.16
% 3.64/1.16 ------ Parsing...successful
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16 ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.64/1.16
% 3.64/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.64/1.16
% 3.64/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.64/1.16 ------ Proving...
% 3.64/1.16 ------ Problem Properties
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16 clauses 6
% 3.64/1.16 conjectures 1
% 3.64/1.16 EPR 1
% 3.64/1.16 Horn 6
% 3.64/1.16 unary 6
% 3.64/1.16 binary 0
% 3.64/1.16 lits 6
% 3.64/1.16 lits eq 6
% 3.64/1.16 fd_pure 0
% 3.64/1.16 fd_pseudo 0
% 3.64/1.16 fd_cond 0
% 3.64/1.16 fd_pseudo_cond 0
% 3.64/1.16 AC symbols 0
% 3.64/1.16
% 3.64/1.16 ------ Input Options Time Limit: Unbounded
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16 ------
% 3.64/1.16 Current options:
% 3.64/1.16 ------
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16 ------ Proving...
% 3.64/1.16
% 3.64/1.16
% 3.64/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.64/1.16
% 3.64/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.64/1.16
% 3.64/1.16
%------------------------------------------------------------------------------