TSTP Solution File: GRP750-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 : Thu Aug 31 01:01:42 EDT 2023
% Result : Unsatisfiable 74.03s 10.15s
% Output : CNFRefutation 74.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of clauses : 53 ( 53 unt; 0 nHn; 3 RR)
% Number of literals : 53 ( 52 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 147 ( 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(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,plain,
mult(mult(X0,X1),mult(X2,X1)) = mult(mult(X0,X2),mult(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(c_55,negated_conjecture,
mult(mult(a,a),mult(b,c)) != mult(mult(a,b),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c_126,plain,
ld(rd(X0,X1),X0) = X1,
inference(superposition,[status(thm)],[c_51,c_50]) ).
cnf(c_128,plain,
rd(X0,ld(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_49,c_52]) ).
cnf(c_135,plain,
mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(X0,mult(X2,X1)),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_142,plain,
mult(mult(rd(X0,X1),X2),mult(X1,X2)) = mult(X0,mult(X2,X2)),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_168,plain,
mult(X0,mult(ld(rd(X0,X1),X2),X1)) = mult(X2,mult(X1,X1)),
inference(superposition,[status(thm)],[c_49,c_135]) ).
cnf(c_173,plain,
rd(mult(X0,mult(X1,X2)),mult(X2,X2)) = mult(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_135,c_52]) ).
cnf(c_221,plain,
mult(mult(X0,rd(X1,X2)),mult(mult(X0,X0),X2)) = mult(mult(X0,mult(X0,X0)),X1),
inference(superposition,[status(thm)],[c_51,c_53]) ).
cnf(c_234,plain,
mult(mult(X0,mult(X0,X0)),mult(X1,ld(mult(X0,X0),X2))) = mult(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_244,plain,
rd(mult(mult(X0,X1),mult(mult(X0,X0),X2)),mult(X1,X2)) = mult(X0,mult(X0,X0)),
inference(superposition,[status(thm)],[c_53,c_52]) ).
cnf(c_301,plain,
mult(mult(rd(X0,rd(X1,X2)),X2),X1) = mult(X0,mult(X2,X2)),
inference(superposition,[status(thm)],[c_51,c_142]) ).
cnf(c_399,plain,
ld(X0,mult(X1,mult(X2,X2))) = mult(ld(rd(X0,X2),X1),X2),
inference(superposition,[status(thm)],[c_168,c_50]) ).
cnf(c_430,plain,
mult(rd(rd(X0,mult(X1,X2)),X2),X1) = rd(X0,mult(X2,X2)),
inference(superposition,[status(thm)],[c_51,c_173]) ).
cnf(c_531,plain,
mult(rd(X0,rd(X1,X2)),X2) = rd(mult(X0,mult(X2,X2)),X1),
inference(superposition,[status(thm)],[c_301,c_52]) ).
cnf(c_614,plain,
mult(ld(rd(X0,X1),mult(rd(X2,X1),X3)),X1) = ld(X0,mult(X2,mult(X3,X1))),
inference(superposition,[status(thm)],[c_135,c_399]) ).
cnf(c_647,plain,
mult(rd(rd(X0,X1),X2),rd(X1,X2)) = rd(X0,mult(X2,X2)),
inference(superposition,[status(thm)],[c_51,c_430]) ).
cnf(c_790,plain,
mult(rd(mult(rd(X0,X1),X2),rd(X3,X1)),X1) = rd(mult(X0,mult(X2,X1)),X3),
inference(superposition,[status(thm)],[c_135,c_531]) ).
cnf(c_958,plain,
rd(rd(X0,mult(X1,X1)),rd(X2,X1)) = rd(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_647,c_52]) ).
cnf(c_1293,plain,
rd(rd(mult(X0,mult(X1,X1)),X2),X1) = rd(X0,rd(X2,X1)),
inference(superposition,[status(thm)],[c_52,c_958]) ).
cnf(c_2125,plain,
mult(mult(X0,rd(X1,ld(mult(X0,X0),X2))),X2) = mult(mult(X0,mult(X0,X0)),X1),
inference(superposition,[status(thm)],[c_49,c_221]) ).
cnf(c_4904,plain,
mult(rd(mult(rd(X0,X1),X2),X3),X1) = rd(mult(X0,mult(X2,X1)),mult(X3,X1)),
inference(superposition,[status(thm)],[c_52,c_790]) ).
cnf(c_4970,plain,
mult(rd(mult(rd(mult(X0,X1),X2),mult(X0,X0)),X1),X2) = mult(X0,mult(X0,X0)),
inference(demodulation,[status(thm)],[c_244,c_4904]) ).
cnf(c_12859,plain,
mult(rd(mult(X0,mult(X1,X1)),X2),ld(X0,mult(X1,X2))) = mult(X1,mult(X1,X1)),
inference(superposition,[status(thm)],[c_128,c_4970]) ).
cnf(c_23771,plain,
ld(rd(mult(X0,mult(X1,X1)),X2),mult(X1,mult(X1,X1))) = ld(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[c_12859,c_50]) ).
cnf(c_32565,plain,
mult(ld(rd(rd(mult(X0,mult(X1,X1)),X2),X1),X1),X1) = ld(X0,mult(X1,X2)),
inference(superposition,[status(thm)],[c_23771,c_399]) ).
cnf(c_32575,plain,
mult(ld(rd(X0,rd(X1,X2)),X2),X2) = ld(X0,mult(X2,X1)),
inference(light_normalisation,[status(thm)],[c_32565,c_1293]) ).
cnf(c_32690,plain,
ld(X0,mult(X1,mult(X2,X1))) = mult(ld(rd(X0,X2),X1),X1),
inference(superposition,[status(thm)],[c_52,c_32575]) ).
cnf(c_32743,plain,
ld(rd(X0,rd(X1,X2)),X2) = rd(ld(X0,mult(X2,X1)),X2),
inference(superposition,[status(thm)],[c_32575,c_52]) ).
cnf(c_33484,plain,
mult(X0,mult(ld(rd(X0,X1),X2),X2)) = mult(X2,mult(X1,X2)),
inference(superposition,[status(thm)],[c_32690,c_49]) ).
cnf(c_33620,plain,
ld(rd(rd(mult(X0,X1),X2),rd(X1,X0)),X0) = rd(X2,X0),
inference(superposition,[status(thm)],[c_126,c_32743]) ).
cnf(c_35137,plain,
mult(X0,mult(ld(X1,X2),X0)) = mult(X2,mult(ld(X1,X0),X0)),
inference(superposition,[status(thm)],[c_128,c_33484]) ).
cnf(c_36691,plain,
rd(rd(mult(X0,X1),X2),rd(X1,X0)) = rd(X0,rd(X2,X0)),
inference(superposition,[status(thm)],[c_33620,c_128]) ).
cnf(c_38642,plain,
rd(mult(X0,mult(ld(X1,X2),X2)),mult(ld(X1,X0),X2)) = X2,
inference(superposition,[status(thm)],[c_35137,c_52]) ).
cnf(c_40196,plain,
mult(rd(X0,rd(X1,X0)),rd(X2,X0)) = rd(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_36691,c_51]) ).
cnf(c_40819,plain,
mult(rd(mult(rd(X0,X1),ld(X2,X1)),ld(X2,X0)),X1) = X1,
inference(superposition,[status(thm)],[c_38642,c_4904]) ).
cnf(c_46639,plain,
mult(rd(mult(X0,ld(X1,X2)),ld(X1,mult(X0,X2))),X2) = X2,
inference(superposition,[status(thm)],[c_52,c_40819]) ).
cnf(c_50434,plain,
rd(mult(X0,ld(X1,X2)),ld(X1,mult(X0,X2))) = rd(X2,X2),
inference(superposition,[status(thm)],[c_46639,c_52]) ).
cnf(c_54598,plain,
mult(mult(X0,mult(X0,X0)),mult(X1,ld(mult(X0,X0),X2))) = mult(mult(X0,rd(X2,X2)),mult(X1,X2)),
inference(superposition,[status(thm)],[c_50434,c_2125]) ).
cnf(c_54610,plain,
mult(mult(X0,rd(X1,X1)),mult(X2,X1)) = mult(mult(X0,X2),X1),
inference(light_normalisation,[status(thm)],[c_54598,c_234]) ).
cnf(c_69909,plain,
mult(mult(X0,rd(X1,X1)),X2) = mult(mult(X0,rd(X2,X1)),X1),
inference(superposition,[status(thm)],[c_51,c_54610]) ).
cnf(c_71988,plain,
mult(mult(rd(X0,rd(X1,X0)),rd(X2,X0)),X0) = mult(rd(mult(X0,X0),X1),X2),
inference(superposition,[status(thm)],[c_40196,c_69909]) ).
cnf(c_72471,plain,
mult(rd(mult(X0,X0),X1),X2) = mult(rd(mult(X0,X2),X1),X0),
inference(light_normalisation,[status(thm)],[c_71988,c_40196]) ).
cnf(c_92891,plain,
ld(rd(mult(X0,X1),X2),mult(rd(mult(X0,X0),X2),X1)) = X0,
inference(superposition,[status(thm)],[c_72471,c_50]) ).
cnf(c_101160,plain,
ld(mult(X0,X1),mult(mult(X0,X0),mult(X1,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_92891,c_614]) ).
cnf(c_125902,plain,
mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(superposition,[status(thm)],[c_101160,c_49]) ).
cnf(c_126062,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(demodulation,[status(thm)],[c_55,c_125902]) ).
cnf(c_126063,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_126062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:46:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running UEQ theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 74.03/10.15 % SZS status Started for theBenchmark.p
% 74.03/10.15 % SZS status Unsatisfiable for theBenchmark.p
% 74.03/10.15
% 74.03/10.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 74.03/10.15
% 74.03/10.15 ------ iProver source info
% 74.03/10.15
% 74.03/10.15 git: date: 2023-05-31 18:12:56 +0000
% 74.03/10.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 74.03/10.15 git: non_committed_changes: false
% 74.03/10.15 git: last_make_outside_of_git: false
% 74.03/10.15
% 74.03/10.15 ------ Parsing...successful
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 74.03/10.15
% 74.03/10.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 74.03/10.15
% 74.03/10.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 74.03/10.15 ------ Proving...
% 74.03/10.15 ------ Problem Properties
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15 clauses 7
% 74.03/10.15 conjectures 1
% 74.03/10.15 EPR 0
% 74.03/10.15 Horn 7
% 74.03/10.15 unary 7
% 74.03/10.15 binary 0
% 74.03/10.15 lits 7
% 74.03/10.15 lits eq 7
% 74.03/10.15 fd_pure 0
% 74.03/10.15 fd_pseudo 0
% 74.03/10.15 fd_cond 0
% 74.03/10.15 fd_pseudo_cond 0
% 74.03/10.15 AC symbols 0
% 74.03/10.15
% 74.03/10.15 ------ Input Options Time Limit: Unbounded
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15 ------
% 74.03/10.15 Current options:
% 74.03/10.15 ------
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15 ------ Proving...
% 74.03/10.15
% 74.03/10.15
% 74.03/10.15 % SZS status Unsatisfiable for theBenchmark.p
% 74.03/10.15
% 74.03/10.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 74.03/10.15
% 74.03/10.15
%------------------------------------------------------------------------------