TSTP Solution File: GRP660-13 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% 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 02:23:20 EDT 2024
% Result : Unsatisfiable 8.04s 1.72s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c_50,plain,
ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c_51,plain,
mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(c_52,plain,
rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c_54,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c_77,plain,
ld(x1,x1) = sP0_iProver_def,
definition ).
cnf(c_78,plain,
mult(x0,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_79,negated_conjecture,
sP1_iProver_def != x0,
inference(demodulation,[status(thm)],[c_54,c_77,c_78]) ).
cnf(c_129,plain,
mult(x1,sP0_iProver_def) = x1,
inference(superposition,[status(thm)],[c_77,c_49]) ).
cnf(c_133,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_136,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_138,plain,
rd(x1,sP0_iProver_def) = x1,
inference(superposition,[status(thm)],[c_129,c_52]) ).
cnf(c_143,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_147,plain,
mult(x1,mult(sP0_iProver_def,mult(X0,x1))) = mult(mult(x1,X0),x1),
inference(superposition,[status(thm)],[c_129,c_53]) ).
cnf(c_150,plain,
ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[status(thm)],[c_53,c_50]) ).
cnf(c_186,plain,
rd(mult(mult(x1,X0),x1),mult(sP0_iProver_def,mult(X0,x1))) = x1,
inference(superposition,[status(thm)],[c_147,c_52]) ).
cnf(c_187,plain,
ld(x1,mult(mult(x1,X0),x1)) = mult(sP0_iProver_def,mult(X0,x1)),
inference(superposition,[status(thm)],[c_147,c_50]) ).
cnf(c_268,plain,
rd(mult(x1,x1),mult(sP0_iProver_def,mult(sP0_iProver_def,x1))) = x1,
inference(superposition,[status(thm)],[c_129,c_186]) ).
cnf(c_292,plain,
ld(x1,mult(x1,x1)) = mult(sP0_iProver_def,mult(sP0_iProver_def,x1)),
inference(superposition,[status(thm)],[c_268,c_133]) ).
cnf(c_301,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,x1)) = x1,
inference(demodulation,[status(thm)],[c_292,c_50]) ).
cnf(c_304,plain,
rd(x1,mult(sP0_iProver_def,x1)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_301,c_52]) ).
cnf(c_305,plain,
ld(sP0_iProver_def,x1) = mult(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_301,c_50]) ).
cnf(c_400,plain,
mult(sP0_iProver_def,mult(ld(x1,X0),x1)) = ld(x1,mult(X0,x1)),
inference(superposition,[status(thm)],[c_49,c_187]) ).
cnf(c_508,plain,
ld(sP0_iProver_def,ld(x1,mult(X0,x1))) = mult(ld(x1,X0),x1),
inference(superposition,[status(thm)],[c_400,c_50]) ).
cnf(c_610,plain,
mult(mult(X0,rd(X1,X2)),X2) = mult(X2,mult(ld(X2,X0),X1)),
inference(superposition,[status(thm)],[c_51,c_143]) ).
cnf(c_612,plain,
mult(sP0_iProver_def,mult(ld(sP0_iProver_def,X0),sP1_iProver_def)) = mult(mult(X0,x0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_78,c_143]) ).
cnf(c_626,plain,
ld(X0,mult(mult(X1,X2),X0)) = mult(ld(X0,X1),mult(X2,X0)),
inference(superposition,[status(thm)],[c_143,c_50]) ).
cnf(c_1083,plain,
rd(mult(mult(X0,x0),sP0_iProver_def),mult(ld(sP0_iProver_def,X0),sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_612,c_52]) ).
cnf(c_1705,plain,
rd(mult(X0,sP0_iProver_def),mult(ld(sP0_iProver_def,rd(X0,x0)),sP1_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_51,c_1083]) ).
cnf(c_2143,plain,
mult(ld(sP0_iProver_def,rd(X0,x0)),sP1_iProver_def) = ld(sP0_iProver_def,mult(X0,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_1705,c_133]) ).
cnf(c_2251,plain,
ld(mult(mult(sP0_iProver_def,X0),x1),mult(sP0_iProver_def,mult(X0,x1))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_129,c_150]) ).
cnf(c_2582,plain,
ld(ld(sP0_iProver_def,rd(X0,x0)),ld(sP0_iProver_def,mult(X0,sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_2143,c_50]) ).
cnf(c_2741,plain,
ld(mult(mult(sP0_iProver_def,sP0_iProver_def),x1),x1) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_301,c_2251]) ).
cnf(c_2744,plain,
ld(mult(mult(sP0_iProver_def,rd(X0,x1)),x1),mult(sP0_iProver_def,X0)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_51,c_2251]) ).
cnf(c_2800,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),x1) = rd(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_2741,c_136]) ).
cnf(c_2801,plain,
mult(mult(sP0_iProver_def,sP0_iProver_def),x1) = x1,
inference(light_normalisation,[status(thm)],[c_2800,c_138]) ).
cnf(c_2893,plain,
mult(sP0_iProver_def,sP0_iProver_def) = rd(x1,x1),
inference(superposition,[status(thm)],[c_2801,c_52]) ).
cnf(c_2903,plain,
mult(ld(x1,mult(sP0_iProver_def,sP0_iProver_def)),x1) = ld(sP0_iProver_def,ld(x1,x1)),
inference(superposition,[status(thm)],[c_2801,c_508]) ).
cnf(c_2912,plain,
mult(ld(x1,mult(sP0_iProver_def,sP0_iProver_def)),x1) = ld(sP0_iProver_def,sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_2903,c_77]) ).
cnf(c_3775,plain,
ld(mult(x1,mult(ld(x1,sP0_iProver_def),X0)),mult(sP0_iProver_def,X0)) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_2744,c_610]) ).
cnf(c_3777,plain,
ld(mult(x1,X0),mult(sP0_iProver_def,ld(ld(x1,sP0_iProver_def),X0))) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_49,c_3775]) ).
cnf(c_3792,plain,
mult(x1,mult(ld(x1,sP0_iProver_def),X0)) = rd(mult(sP0_iProver_def,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_3775,c_136]) ).
cnf(c_4205,plain,
mult(sP0_iProver_def,ld(ld(x1,sP0_iProver_def),X0)) = mult(mult(x1,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_3777,c_49]) ).
cnf(c_4530,plain,
rd(rd(mult(sP0_iProver_def,X0),sP0_iProver_def),mult(ld(x1,sP0_iProver_def),X0)) = x1,
inference(superposition,[status(thm)],[c_3792,c_52]) ).
cnf(c_4531,plain,
ld(x1,rd(mult(sP0_iProver_def,X0),sP0_iProver_def)) = mult(ld(x1,sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_3792,c_50]) ).
cnf(c_5015,plain,
ld(sP0_iProver_def,mult(mult(x1,X0),sP0_iProver_def)) = ld(ld(x1,sP0_iProver_def),X0),
inference(superposition,[status(thm)],[c_4205,c_50]) ).
cnf(c_5125,plain,
rd(sP0_iProver_def,mult(ld(x1,sP0_iProver_def),sP0_iProver_def)) = x1,
inference(superposition,[status(thm)],[c_52,c_4530]) ).
cnf(c_5202,plain,
mult(ld(x1,sP0_iProver_def),sP0_iProver_def) = ld(x1,sP0_iProver_def),
inference(superposition,[status(thm)],[c_5125,c_133]) ).
cnf(c_5211,plain,
ld(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_5202,c_50]) ).
cnf(c_5882,plain,
mult(mult(sP0_iProver_def,x1),mult(X0,sP0_iProver_def)) = ld(ld(x1,sP0_iProver_def),X0),
inference(demodulation,[status(thm)],[c_5015,c_305,c_626]) ).
cnf(c_5887,plain,
ld(ld(x1,sP0_iProver_def),ld(x1,sP0_iProver_def)) = mult(mult(sP0_iProver_def,x1),ld(x1,sP0_iProver_def)),
inference(superposition,[status(thm)],[c_5202,c_5882]) ).
cnf(c_5904,plain,
mult(mult(sP0_iProver_def,x1),ld(x1,sP0_iProver_def)) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_5887,c_5211]) ).
cnf(c_6000,plain,
rd(sP0_iProver_def,ld(x1,sP0_iProver_def)) = mult(sP0_iProver_def,x1),
inference(superposition,[status(thm)],[c_5904,c_52]) ).
cnf(c_6067,plain,
mult(sP0_iProver_def,x1) = x1,
inference(demodulation,[status(thm)],[c_6000,c_136]) ).
cnf(c_6084,plain,
rd(x1,x1) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_304,c_6067]) ).
cnf(c_6086,plain,
mult(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_6084,c_2893]) ).
cnf(c_6095,plain,
mult(ld(x1,sP0_iProver_def),x1) = ld(sP0_iProver_def,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_2912,c_6086]) ).
cnf(c_6119,plain,
ld(x1,rd(x1,sP0_iProver_def)) = mult(ld(x1,sP0_iProver_def),x1),
inference(superposition,[status(thm)],[c_6067,c_4531]) ).
cnf(c_6137,plain,
ld(sP0_iProver_def,sP0_iProver_def) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_6119,c_77,c_138,c_6095]) ).
cnf(c_6206,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,mult(X0,sP0_iProver_def))) = mult(mult(sP0_iProver_def,X0),sP0_iProver_def),
inference(superposition,[status(thm)],[c_6086,c_53]) ).
cnf(c_6302,plain,
mult(mult(sP0_iProver_def,x0),sP0_iProver_def) = mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),
inference(superposition,[status(thm)],[c_6137,c_612]) ).
cnf(c_7590,plain,
mult(mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def) = mult(sP0_iProver_def,mult(x0,mult(sP0_iProver_def,sP0_iProver_def))),
inference(superposition,[status(thm)],[c_6302,c_53]) ).
cnf(c_7601,plain,
mult(mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_7590,c_78,c_6086]) ).
cnf(c_8098,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)) = rd(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_7601,c_52]) ).
cnf(c_8102,plain,
mult(sP0_iProver_def,mult(mult(sP0_iProver_def,sP1_iProver_def),mult(sP0_iProver_def,sP0_iProver_def))) = mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_7601,c_53]) ).
cnf(c_8112,plain,
mult(sP0_iProver_def,mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def)) = mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
inference(light_normalisation,[status(thm)],[c_8102,c_6086]) ).
cnf(c_9591,plain,
ld(sP0_iProver_def,mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def)) = mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_8112,c_50]) ).
cnf(c_9609,plain,
mult(mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)),sP0_iProver_def) = mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def),
inference(superposition,[status(thm)],[c_8112,c_6206]) ).
cnf(c_9610,plain,
mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_9609,c_7601]) ).
cnf(c_9614,plain,
mult(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)) = mult(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8112,c_9610]) ).
cnf(c_9615,plain,
rd(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_8098,c_9614]) ).
cnf(c_9618,plain,
mult(mult(sP0_iProver_def,x0),sP0_iProver_def) = mult(sP0_iProver_def,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_6302,c_9614]) ).
cnf(c_9938,plain,
rd(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def) = mult(sP0_iProver_def,x0),
inference(superposition,[status(thm)],[c_9618,c_52]) ).
cnf(c_9956,plain,
mult(sP0_iProver_def,x0) = mult(sP0_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_9938,c_9615]) ).
cnf(c_9999,plain,
rd(mult(sP0_iProver_def,sP1_iProver_def),x0) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_9956,c_52]) ).
cnf(c_10000,plain,
ld(sP0_iProver_def,mult(sP0_iProver_def,sP1_iProver_def)) = x0,
inference(superposition,[status(thm)],[c_9956,c_50]) ).
cnf(c_10115,plain,
ld(ld(sP0_iProver_def,sP0_iProver_def),ld(sP0_iProver_def,mult(mult(sP0_iProver_def,sP1_iProver_def),sP0_iProver_def))) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_9999,c_2582]) ).
cnf(c_10123,plain,
x0 = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_10115,c_6137,c_9591,c_9610,c_10000]) ).
cnf(c_10189,plain,
sP1_iProver_def != sP1_iProver_def,
inference(demodulation,[status(thm)],[c_79,c_10123]) ).
cnf(c_10190,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_10189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 2 23:57:01 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.20/0.48 Running UEQ theorem proving
% 0.20/0.48 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
% 8.04/1.72 % SZS status Started for theBenchmark.p
% 8.04/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.04/1.72
% 8.04/1.72 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.04/1.72
% 8.04/1.72 ------ iProver source info
% 8.04/1.72
% 8.04/1.72 git: date: 2024-05-02 19:28:25 +0000
% 8.04/1.72 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.04/1.72 git: non_committed_changes: false
% 8.04/1.72
% 8.04/1.72 ------ Parsing...successful
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.04/1.72
% 8.04/1.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.04/1.72
% 8.04/1.72 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.04/1.72 ------ Proving...
% 8.04/1.72 ------ Problem Properties
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72 clauses 8
% 8.04/1.72 conjectures 1
% 8.04/1.72 EPR 1
% 8.04/1.72 Horn 8
% 8.04/1.72 unary 8
% 8.04/1.72 binary 0
% 8.04/1.72 lits 8
% 8.04/1.72 lits eq 8
% 8.04/1.72 fd_pure 0
% 8.04/1.72 fd_pseudo 0
% 8.04/1.72 fd_cond 0
% 8.04/1.72 fd_pseudo_cond 0
% 8.04/1.72 AC symbols 0
% 8.04/1.72
% 8.04/1.72 ------ Input Options Time Limit: Unbounded
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72 ------
% 8.04/1.72 Current options:
% 8.04/1.72 ------
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72 ------ Proving...
% 8.04/1.72
% 8.04/1.72
% 8.04/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.04/1.72
% 8.04/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.04/1.72
% 8.04/1.73
%------------------------------------------------------------------------------