TSTP Solution File: GRP660-10 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP660-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 02:23:20 EDT 2024
% Result : Unsatisfiable 180.78s 23.63s
% Output : CNFRefutation 180.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 6
% Syntax : Number of clauses : 94 ( 94 unt; 0 nHn; 3 RR)
% Number of literals : 94 ( 93 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 185 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c_53,plain,
mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c_130,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_132,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_138,plain,
mult(X0,mult(X1,mult(ld(mult(X0,X1),X2),X0))) = mult(X2,X0),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_140,plain,
mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_144,plain,
rd(mult(X0,mult(X1,mult(X2,X0))),X0) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_162,plain,
mult(X0,mult(ld(mult(X1,X0),X2),X1)) = ld(X1,mult(X2,X1)),
inference(superposition,[status(thm)],[c_138,c_50]) ).
cnf(c_176,plain,
mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_51,c_140]) ).
cnf(c_181,plain,
ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_140,c_50]) ).
cnf(c_193,plain,
mult(mult(X0,rd(X1,mult(X2,X0))),X2) = rd(mult(X0,X1),X0),
inference(superposition,[status(thm)],[c_51,c_144]) ).
cnf(c_197,plain,
mult(mult(X0,X1),rd(X2,X0)) = rd(mult(X0,mult(X1,X2)),X0),
inference(superposition,[status(thm)],[c_51,c_144]) ).
cnf(c_247,plain,
mult(ld(X0,X1),mult(ld(X1,X2),X0)) = ld(X0,mult(X2,X0)),
inference(superposition,[status(thm)],[c_49,c_162]) ).
cnf(c_248,plain,
ld(rd(X0,X1),mult(X2,rd(X0,X1))) = mult(X1,mult(ld(X0,X2),rd(X0,X1))),
inference(superposition,[status(thm)],[c_51,c_162]) ).
cnf(c_255,plain,
ld(X0,ld(X1,mult(X2,X1))) = mult(ld(mult(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_162,c_50]) ).
cnf(c_283,plain,
mult(X0,mult(ld(X0,rd(X1,rd(X2,X0))),X2)) = mult(X1,X0),
inference(superposition,[status(thm)],[c_51,c_176]) ).
cnf(c_291,plain,
ld(mult(X0,rd(X1,X2)),mult(X2,mult(ld(X2,X0),X1))) = X2,
inference(superposition,[status(thm)],[c_176,c_50]) ).
cnf(c_368,plain,
mult(ld(X0,rd(X1,X2)),mult(X2,X0)) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_51,c_181]) ).
cnf(c_405,plain,
mult(X0,rd(X1,mult(X2,X0))) = rd(rd(mult(X0,X1),X0),X2),
inference(superposition,[status(thm)],[c_193,c_52]) ).
cnf(c_451,plain,
mult(mult(X0,X1),rd(ld(X1,X2),X0)) = rd(mult(X0,X2),X0),
inference(superposition,[status(thm)],[c_49,c_197]) ).
cnf(c_599,plain,
mult(ld(mult(X0,X1),X0),X0) = ld(X1,X0),
inference(superposition,[status(thm)],[c_50,c_255]) ).
cnf(c_602,plain,
mult(ld(mult(X0,X1),rd(X2,X0)),X0) = ld(X1,ld(X0,X2)),
inference(superposition,[status(thm)],[c_51,c_255]) ).
cnf(c_646,plain,
ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[status(thm)],[c_599,c_52]) ).
cnf(c_647,plain,
ld(ld(mult(X0,X1),X0),ld(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_599,c_50]) ).
cnf(c_721,plain,
ld(mult(X0,rd(X0,X1)),X0) = rd(X1,X0),
inference(superposition,[status(thm)],[c_130,c_646]) ).
cnf(c_743,plain,
ld(ld(X0,rd(X0,X1)),ld(X1,rd(X0,X1))) = rd(X0,X1),
inference(superposition,[status(thm)],[c_51,c_647]) ).
cnf(c_845,plain,
mult(X0,rd(X0,X1)) = rd(X0,rd(X1,X0)),
inference(superposition,[status(thm)],[c_721,c_132]) ).
cnf(c_880,plain,
mult(ld(X0,rd(X1,rd(X2,X0))),X2) = ld(X0,mult(X1,X0)),
inference(superposition,[status(thm)],[c_283,c_50]) ).
cnf(c_1329,plain,
mult(X0,rd(ld(X0,X1),mult(X2,X0))) = rd(rd(X1,X0),X2),
inference(superposition,[status(thm)],[c_49,c_405]) ).
cnf(c_1380,plain,
mult(X0,rd(ld(ld(X1,X0),X2),X1)) = rd(mult(X1,X2),X1),
inference(superposition,[status(thm)],[c_49,c_451]) ).
cnf(c_1381,plain,
mult(X0,rd(ld(X1,X2),rd(X0,X1))) = rd(mult(rd(X0,X1),X2),rd(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_451]) ).
cnf(c_1632,plain,
ld(ld(X0,X1),ld(X0,X2)) = mult(ld(X1,rd(X2,X0)),X0),
inference(superposition,[status(thm)],[c_49,c_602]) ).
cnf(c_2124,plain,
ld(X0,rd(X1,rd(X2,X0))) = rd(ld(X0,mult(X1,X0)),X2),
inference(superposition,[status(thm)],[c_880,c_52]) ).
cnf(c_2477,plain,
mult(X0,rd(ld(X0,X1),X2)) = rd(rd(X1,X0),rd(X2,X0)),
inference(superposition,[status(thm)],[c_51,c_1329]) ).
cnf(c_2770,plain,
ld(X0,rd(mult(X1,X2),X1)) = rd(ld(ld(X1,X0),X2),X1),
inference(superposition,[status(thm)],[c_1380,c_50]) ).
cnf(c_3113,plain,
mult(ld(rd(X0,X0),rd(rd(X0,X0),X0)),X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_1632,c_743]) ).
cnf(c_3423,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,rd(mult(X0,X1),X1))),
inference(superposition,[status(thm)],[c_2124,c_646]) ).
cnf(c_3430,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,rd(X0,X0)),
inference(light_normalisation,[status(thm)],[c_3423,c_52]) ).
cnf(c_4405,plain,
ld(rd(X0,X0),rd(rd(X0,X0),X0)) = rd(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_3113,c_52]) ).
cnf(c_4929,plain,
ld(mult(X0,ld(X1,X0)),X0) = ld(ld(X1,X0),rd(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_3430]) ).
cnf(c_5073,plain,
mult(rd(X0,X0),rd(rd(X0,X0),X0)) = rd(rd(X0,X0),X0),
inference(superposition,[status(thm)],[c_4405,c_49]) ).
cnf(c_5277,plain,
ld(ld(X0,X0),rd(X0,X0)) = ld(X0,X0),
inference(superposition,[status(thm)],[c_49,c_4929]) ).
cnf(c_5333,plain,
rd(X0,ld(ld(X1,X0),rd(X1,X1))) = mult(X0,ld(X1,X0)),
inference(superposition,[status(thm)],[c_4929,c_132]) ).
cnf(c_5475,plain,
mult(ld(X0,X0),ld(X0,X0)) = rd(X0,X0),
inference(superposition,[status(thm)],[c_5277,c_49]) ).
cnf(c_5488,plain,
ld(X0,rd(mult(X0,rd(X0,X0)),X0)) = rd(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_5277,c_2770]) ).
cnf(c_5489,plain,
ld(ld(X0,X0),mult(X0,ld(X0,X0))) = mult(ld(X0,X0),mult(X0,ld(X0,X0))),
inference(superposition,[status(thm)],[c_5277,c_368]) ).
cnf(c_6044,plain,
ld(rd(rd(X0,X0),X0),rd(X0,X0)) = rd(X0,rd(X0,X0)),
inference(superposition,[status(thm)],[c_5073,c_721]) ).
cnf(c_6844,plain,
mult(X0,ld(X0,X0)) = rd(X0,ld(X0,X0)),
inference(superposition,[status(thm)],[c_5277,c_5333]) ).
cnf(c_7571,plain,
mult(X0,rd(ld(X0,X0),X0)) = rd(mult(X0,rd(X0,X0)),X0),
inference(superposition,[status(thm)],[c_5488,c_49]) ).
cnf(c_8206,plain,
rd(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_6044,c_130]) ).
cnf(c_8302,plain,
ld(X0,X0) = rd(X0,X0),
inference(superposition,[status(thm)],[c_8206,c_130]) ).
cnf(c_8325,plain,
mult(X0,rd(X0,X0)) = X0,
inference(superposition,[status(thm)],[c_8206,c_845]) ).
cnf(c_8328,plain,
mult(X0,rd(ld(X0,X0),X0)) = rd(X0,X0),
inference(demodulation,[status(thm)],[c_7571,c_8325]) ).
cnf(c_8340,plain,
mult(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_5475,c_8302]) ).
cnf(c_8341,plain,
ld(ld(X0,X0),ld(X0,X0)) = ld(X0,X0),
inference(demodulation,[status(thm)],[c_5277,c_8302]) ).
cnf(c_8342,plain,
ld(mult(mult(X0,X1),X1),mult(X0,X1)) = ld(X1,ld(X0,X0)),
inference(demodulation,[status(thm)],[c_3430,c_8302]) ).
cnf(c_8399,plain,
ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(superposition,[status(thm)],[c_8302,c_248]) ).
cnf(c_8406,plain,
mult(ld(X0,X0),X0) = X0,
inference(superposition,[status(thm)],[c_8302,c_51]) ).
cnf(c_8420,plain,
mult(X0,rd(ld(X0,X0),X1)) = rd(ld(X0,X0),rd(X1,X0)),
inference(superposition,[status(thm)],[c_8302,c_2477]) ).
cnf(c_8471,plain,
mult(ld(X0,rd(X1,ld(X0,X0))),ld(X0,X0)) = ld(X0,ld(ld(X0,X0),X1)),
inference(superposition,[status(thm)],[c_8406,c_602]) ).
cnf(c_9310,plain,
mult(X0,rd(ld(X0,X0),X0)) = ld(X0,X0),
inference(light_normalisation,[status(thm)],[c_8328,c_8302]) ).
cnf(c_9333,plain,
ld(X0,ld(X0,X0)) = rd(ld(X0,X0),X0),
inference(superposition,[status(thm)],[c_9310,c_50]) ).
cnf(c_9367,plain,
ld(ld(X0,X0),mult(X0,mult(ld(X0,X0),ld(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_9310,c_291]) ).
cnf(c_9372,plain,
mult(ld(X0,X0),mult(X0,ld(X0,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_9367,c_5489,c_8340]) ).
cnf(c_9468,plain,
mult(ld(X0,X0),mult(ld(X0,X0),mult(X1,ld(X0,X0)))) = mult(mult(ld(X0,X0),X1),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8340,c_53]) ).
cnf(c_9475,plain,
mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))) = mult(mult(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8340,c_140]) ).
cnf(c_9574,plain,
mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))) = ld(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_8341,c_247]) ).
cnf(c_9618,plain,
mult(mult(X0,ld(X1,X1)),ld(X1,X1)) = mult(X1,mult(ld(X1,X0),ld(X1,X1))),
inference(light_normalisation,[status(thm)],[c_9574,c_8399,c_9475]) ).
cnf(c_10566,plain,
mult(X0,rd(ld(X1,X1),rd(X0,X1))) = rd(X0,rd(X0,X1)),
inference(superposition,[status(thm)],[c_51,c_1381]) ).
cnf(c_10746,plain,
ld(X0,rd(X0,rd(X0,X1))) = rd(ld(X1,X1),rd(X0,X1)),
inference(superposition,[status(thm)],[c_10566,c_50]) ).
cnf(c_17080,plain,
ld(mult(X0,mult(X1,mult(X0,X0))),mult(mult(X0,X1),X0)) = ld(X0,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[status(thm)],[c_53,c_8342]) ).
cnf(c_20853,plain,
ld(X0,rd(X0,rd(X0,X1))) = mult(X1,rd(ld(X1,X1),X0)),
inference(superposition,[status(thm)],[c_8420,c_10746]) ).
cnf(c_46518,plain,
ld(X0,rd(X0,ld(X0,X0))) = mult(X0,rd(ld(X0,X0),X0)),
inference(superposition,[status(thm)],[c_8302,c_20853]) ).
cnf(c_46764,plain,
ld(X0,mult(X0,ld(X0,X0))) = mult(X0,ld(X0,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_46518,c_6844,c_9333]) ).
cnf(c_55677,plain,
ld(ld(X0,X0),mult(mult(ld(X0,X0),X1),ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_9468,c_50]) ).
cnf(c_57244,plain,
ld(mult(ld(X0,X0),mult(X0,mult(ld(X0,X0),ld(X0,X0)))),mult(X0,ld(X0,X0))) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[status(thm)],[c_8406,c_17080]) ).
cnf(c_57358,plain,
ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_57244,c_8340,c_9372,c_46764]) ).
cnf(c_126461,plain,
mult(ld(ld(X0,X0),ld(X0,X0)),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_55677,c_181]) ).
cnf(c_126473,plain,
mult(mult(X0,ld(X0,ld(X0,X0))),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(light_normalisation,[status(thm)],[c_126461,c_57358]) ).
cnf(c_196667,plain,
mult(X0,mult(ld(X0,rd(X1,ld(X0,X0))),ld(X0,X0))) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_9618]) ).
cnf(c_196990,plain,
mult(X0,ld(X0,ld(ld(X0,X0),X1))) = mult(X1,ld(X0,X0)),
inference(light_normalisation,[status(thm)],[c_196667,c_8471]) ).
cnf(c_197362,plain,
mult(mult(ld(X0,X0),X1),ld(X0,X0)) = mult(X0,ld(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_196990]) ).
cnf(c_197407,plain,
ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(superposition,[status(thm)],[c_196990,c_49]) ).
cnf(c_197664,plain,
mult(mult(ld(X0,X0),X1),ld(X0,X0)) = X1,
inference(light_normalisation,[status(thm)],[c_197362,c_49]) ).
cnf(c_198117,plain,
mult(ld(X0,X0),mult(X1,ld(X0,X0))) = X1,
inference(superposition,[status(thm)],[c_197407,c_49]) ).
cnf(c_199173,plain,
mult(ld(ld(X0,X0),ld(X0,X0)),mult(X1,ld(X0,X0))) = ld(ld(X0,X0),X1),
inference(superposition,[status(thm)],[c_197664,c_181]) ).
cnf(c_199290,plain,
mult(X0,ld(X1,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_199173,c_57358,c_126473,c_197407,c_198117]) ).
cnf(c_199395,plain,
mult(ld(X0,X0),X1) = X1,
inference(demodulation,[status(thm)],[c_197664,c_199290]) ).
cnf(c_200273,plain,
tuple(mult(ld(X0,X0),x1(ld(X0,X0))),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(superposition,[status(thm)],[c_199290,c_54]) ).
cnf(c_202266,plain,
$false,
inference(ground_joinability,[status(thm)],[c_200273,c_199395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP660-10 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.11 % Command : run_iprover %s %d THM
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu May 2 23:49:35 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.43 Running UEQ theorem proving
% 0.16/0.43 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
% 180.78/23.63 % SZS status Started for theBenchmark.p
% 180.78/23.63 % SZS status Unsatisfiable for theBenchmark.p
% 180.78/23.63
% 180.78/23.63 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 180.78/23.63
% 180.78/23.63 ------ iProver source info
% 180.78/23.63
% 180.78/23.63 git: date: 2024-05-02 19:28:25 +0000
% 180.78/23.63 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 180.78/23.63 git: non_committed_changes: false
% 180.78/23.63
% 180.78/23.63 ------ Parsing...successful
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 180.78/23.63
% 180.78/23.63 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 180.78/23.63
% 180.78/23.63 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 180.78/23.63 ------ Proving...
% 180.78/23.63 ------ Problem Properties
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63 clauses 6
% 180.78/23.63 conjectures 1
% 180.78/23.63 EPR 0
% 180.78/23.63 Horn 6
% 180.78/23.63 unary 6
% 180.78/23.63 binary 0
% 180.78/23.63 lits 6
% 180.78/23.63 lits eq 6
% 180.78/23.63 fd_pure 0
% 180.78/23.63 fd_pseudo 0
% 180.78/23.63 fd_cond 0
% 180.78/23.63 fd_pseudo_cond 0
% 180.78/23.63 AC symbols 0
% 180.78/23.63
% 180.78/23.63 ------ Input Options Time Limit: Unbounded
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63 ------
% 180.78/23.63 Current options:
% 180.78/23.63 ------
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63 ------ Proving...
% 180.78/23.63
% 180.78/23.63
% 180.78/23.63 % SZS status Unsatisfiable for theBenchmark.p
% 180.78/23.63
% 180.78/23.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 180.78/23.64
% 180.78/23.64
%------------------------------------------------------------------------------