TSTP Solution File: GRP754-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 139.61s 23.81s
% Output : CNFRefutation 139.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 3 RR)
% Number of literals : 68 ( 67 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 : 199 ( 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(rd(X0,X0),X1),mult(X0,X2)) = mult(X0,mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c_54,plain,
mult(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(mult(X0,X2),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_134,plain,
mult(X0,mult(ld(rd(X0,X0),X1),X2)) = mult(X1,mult(X0,X2)),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_135,plain,
mult(mult(rd(X0,X0),X1),X2) = mult(X0,mult(X1,ld(X0,X2))),
inference(superposition,[status(thm)],[c_49,c_53]) ).
cnf(c_150,plain,
mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(X2,ld(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_54]) ).
cnf(c_154,plain,
rd(mult(mult(X0,X1),X2),mult(X1,ld(X2,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_54,c_52]) ).
cnf(c_162,plain,
mult(X0,mult(X1,ld(ld(rd(X1,X1),X0),X2))) = mult(X1,X2),
inference(superposition,[status(thm)],[c_49,c_134]) ).
cnf(c_166,plain,
rd(mult(X0,mult(X1,X2)),mult(ld(rd(X1,X1),X0),X2)) = X1,
inference(superposition,[status(thm)],[c_134,c_52]) ).
cnf(c_184,plain,
rd(mult(X0,mult(X1,ld(X0,X2))),X2) = mult(rd(X0,X0),X1),
inference(superposition,[status(thm)],[c_135,c_52]) ).
cnf(c_187,plain,
mult(X0,mult(X1,ld(X0,mult(X2,ld(X1,X1))))) = mult(mult(rd(X0,X0),X2),X1),
inference(superposition,[status(thm)],[c_135,c_54]) ).
cnf(c_260,plain,
mult(X0,mult(ld(rd(X0,X1),X2),ld(X1,X1))) = mult(X2,X1),
inference(superposition,[status(thm)],[c_49,c_150]) ).
cnf(c_266,plain,
rd(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_150,c_52]) ).
cnf(c_267,plain,
ld(mult(rd(X0,X1),X2),mult(X0,mult(X2,ld(X1,X1)))) = X1,
inference(superposition,[status(thm)],[c_150,c_50]) ).
cnf(c_303,plain,
rd(mult(X0,X1),mult(X2,ld(X1,X1))) = mult(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_51,c_154]) ).
cnf(c_386,plain,
mult(X0,ld(ld(rd(X0,X0),X1),X2)) = ld(X1,mult(X0,X2)),
inference(superposition,[status(thm)],[c_162,c_50]) ).
cnf(c_519,plain,
mult(rd(X0,X0),rd(X1,ld(X0,X2))) = rd(mult(X0,X1),X2),
inference(superposition,[status(thm)],[c_51,c_184]) ).
cnf(c_627,plain,
mult(ld(rd(X0,X1),X2),ld(X1,X1)) = ld(X0,mult(X2,X1)),
inference(superposition,[status(thm)],[c_260,c_50]) ).
cnf(c_871,plain,
mult(rd(rd(X0,X1),X2),X1) = rd(X0,mult(X2,ld(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_303]) ).
cnf(c_972,plain,
ld(ld(rd(X0,X0),X1),X2) = ld(X0,ld(X1,mult(X0,X2))),
inference(superposition,[status(thm)],[c_386,c_50]) ).
cnf(c_1160,plain,
mult(X0,mult(rd(X1,ld(X0,X2)),ld(X0,X3))) = mult(rd(mult(X0,X1),X2),X3),
inference(superposition,[status(thm)],[c_519,c_135]) ).
cnf(c_1166,plain,
ld(rd(mult(X0,X1),X2),mult(X0,mult(rd(X1,ld(X0,X2)),ld(X0,X0)))) = X0,
inference(superposition,[status(thm)],[c_519,c_267]) ).
cnf(c_1307,plain,
mult(mult(X0,ld(rd(X1,X2),X3)),X2) = mult(mult(X0,X2),ld(X1,mult(X3,X2))),
inference(superposition,[status(thm)],[c_627,c_54]) ).
cnf(c_1564,plain,
mult(rd(rd(mult(X0,mult(X1,ld(X2,X2))),X2),ld(rd(X1,X1),X0)),X2) = X1,
inference(superposition,[status(thm)],[c_871,c_166]) ).
cnf(c_1572,plain,
mult(rd(mult(rd(X0,X1),X2),ld(rd(X2,X2),X0)),X1) = X2,
inference(light_normalisation,[status(thm)],[c_1564,c_266]) ).
cnf(c_2749,plain,
mult(rd(mult(X0,X1),ld(rd(X1,X1),mult(X0,X2))),X2) = X1,
inference(superposition,[status(thm)],[c_52,c_1572]) ).
cnf(c_3427,plain,
mult(rd(X0,ld(rd(X1,X1),mult(rd(X0,X1),X2))),X2) = X1,
inference(superposition,[status(thm)],[c_51,c_2749]) ).
cnf(c_3847,plain,
rd(X0,ld(rd(X1,X1),mult(rd(X0,X1),X2))) = rd(X1,X2),
inference(superposition,[status(thm)],[c_3427,c_52]) ).
cnf(c_4380,plain,
ld(rd(X0,X0),mult(rd(X1,X0),X2)) = ld(rd(X0,X2),X1),
inference(superposition,[status(thm)],[c_3847,c_126]) ).
cnf(c_5593,plain,
ld(X0,ld(mult(rd(X1,X0),X2),mult(X0,X3))) = ld(ld(rd(X0,X2),X1),X3),
inference(superposition,[status(thm)],[c_4380,c_972]) ).
cnf(c_9276,plain,
ld(X0,mult(mult(rd(X0,X0),X1),X2)) = mult(X2,ld(X0,mult(X1,ld(X2,X2)))),
inference(superposition,[status(thm)],[c_187,c_50]) ).
cnf(c_9324,plain,
ld(X0,mult(X0,mult(X1,ld(X0,X2)))) = mult(X2,ld(X0,mult(X1,ld(X2,X2)))),
inference(light_normalisation,[status(thm)],[c_9276,c_135]) ).
cnf(c_11796,plain,
mult(mult(rd(X0,ld(rd(X1,X2),X3)),X2),ld(X1,mult(X3,X2))) = mult(X0,X2),
inference(superposition,[status(thm)],[c_51,c_1307]) ).
cnf(c_17723,plain,
mult(X0,ld(X1,mult(X2,ld(X0,X0)))) = mult(X2,ld(X1,X0)),
inference(superposition,[status(thm)],[c_9324,c_50]) ).
cnf(c_18163,plain,
ld(X0,mult(X1,ld(X2,X0))) = ld(X2,mult(X1,ld(X0,X0))),
inference(superposition,[status(thm)],[c_17723,c_50]) ).
cnf(c_19220,plain,
ld(X0,mult(rd(X1,ld(X0,X2)),ld(X2,X2))) = ld(X2,X1),
inference(superposition,[status(thm)],[c_51,c_18163]) ).
cnf(c_20622,plain,
mult(rd(X0,ld(X1,X2)),ld(X2,X2)) = mult(X1,ld(X2,X0)),
inference(superposition,[status(thm)],[c_19220,c_49]) ).
cnf(c_22866,plain,
mult(rd(X0,X1),ld(X0,X2)) = mult(rd(X2,X1),ld(X0,X0)),
inference(superposition,[status(thm)],[c_126,c_20622]) ).
cnf(c_26291,plain,
mult(mult(X0,X1),mult(rd(X1,X2),ld(X1,X3))) = mult(mult(X0,rd(X3,X2)),X1),
inference(superposition,[status(thm)],[c_22866,c_54]) ).
cnf(c_27641,plain,
ld(mult(rd(X0,ld(rd(X1,X2),X3)),X2),mult(X0,X2)) = ld(X1,mult(X3,X2)),
inference(superposition,[status(thm)],[c_11796,c_50]) ).
cnf(c_28300,plain,
mult(X0,mult(rd(X1,ld(X0,X2)),ld(X0,X0))) = mult(rd(mult(X0,X0),X2),X1),
inference(superposition,[status(thm)],[c_22866,c_1160]) ).
cnf(c_28734,plain,
ld(rd(mult(X0,X1),X2),mult(rd(mult(X0,X0),X2),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_1166,c_28300]) ).
cnf(c_28770,plain,
ld(rd(X0,X1),mult(rd(mult(X2,X2),X1),ld(X2,X0))) = X2,
inference(superposition,[status(thm)],[c_49,c_28734]) ).
cnf(c_29329,plain,
mult(rd(mult(X0,X0),X1),ld(X0,X2)) = mult(rd(X2,X1),X0),
inference(superposition,[status(thm)],[c_28770,c_49]) ).
cnf(c_31158,plain,
rd(mult(rd(X0,X1),X2),ld(X2,X0)) = rd(mult(X2,X2),X1),
inference(superposition,[status(thm)],[c_29329,c_52]) ).
cnf(c_32621,plain,
rd(mult(X0,X1),ld(X1,mult(X0,X2))) = rd(mult(X1,X1),X2),
inference(superposition,[status(thm)],[c_52,c_31158]) ).
cnf(c_34476,plain,
rd(X0,ld(X1,mult(rd(X0,X1),X2))) = rd(mult(X1,X1),X2),
inference(superposition,[status(thm)],[c_51,c_32621]) ).
cnf(c_35903,plain,
rd(mult(X0,X0),ld(rd(X1,X0),X2)) = rd(X1,ld(X0,X2)),
inference(superposition,[status(thm)],[c_49,c_34476]) ).
cnf(c_38003,plain,
mult(rd(X0,ld(rd(X1,X2),X3)),X2) = mult(rd(X1,ld(X2,X3)),ld(X2,X0)),
inference(superposition,[status(thm)],[c_35903,c_29329]) ).
cnf(c_52992,plain,
mult(mult(X0,rd(mult(X1,X2),X3)),X1) = mult(mult(X0,X1),mult(rd(X1,X3),X2)),
inference(superposition,[status(thm)],[c_50,c_26291]) ).
cnf(c_55096,plain,
ld(mult(rd(X0,ld(X1,X2)),ld(X1,X3)),mult(X3,X1)) = ld(X0,mult(X2,X1)),
inference(light_normalisation,[status(thm)],[c_27641,c_38003]) ).
cnf(c_55169,plain,
ld(mult(rd(X0,X1),ld(X2,X3)),mult(X3,X2)) = ld(X0,mult(mult(X2,X1),X2)),
inference(superposition,[status(thm)],[c_50,c_55096]) ).
cnf(c_202062,plain,
ld(ld(rd(X0,ld(X1,X0)),X2),X1) = ld(X0,ld(X2,mult(mult(X1,X0),X1))),
inference(superposition,[status(thm)],[c_55169,c_5593]) ).
cnf(c_202562,plain,
ld(X0,ld(X1,mult(mult(X2,X0),X2))) = ld(ld(X2,X1),X2),
inference(light_normalisation,[status(thm)],[c_202062,c_128]) ).
cnf(c_203347,plain,
ld(X0,mult(mult(X1,X2),X1)) = mult(X2,ld(ld(X1,X0),X1)),
inference(superposition,[status(thm)],[c_202562,c_49]) ).
cnf(c_204736,plain,
mult(X0,mult(X1,ld(ld(X2,X0),X2))) = mult(mult(X2,X1),X2),
inference(superposition,[status(thm)],[c_203347,c_49]) ).
cnf(c_207462,plain,
mult(mult(X0,rd(X1,ld(ld(X0,X2),X0))),X0) = mult(X2,X1),
inference(superposition,[status(thm)],[c_51,c_204736]) ).
cnf(c_212660,plain,
mult(mult(X0,rd(X1,ld(X2,X0))),X0) = mult(mult(X0,X2),X1),
inference(superposition,[status(thm)],[c_50,c_207462]) ).
cnf(c_220382,plain,
mult(mult(X0,X0),mult(rd(X0,ld(X1,X0)),X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(superposition,[status(thm)],[c_212660,c_52992]) ).
cnf(c_220385,plain,
mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
inference(light_normalisation,[status(thm)],[c_220382,c_128]) ).
cnf(c_220409,plain,
mult(mult(a,a),mult(b,c)) != mult(mult(a,a),mult(b,c)),
inference(demodulation,[status(thm)],[c_55,c_220385]) ).
cnf(c_220410,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_220409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP754-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 01:59:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running UEQ theorem proving
% 0.20/0.47 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
% 139.61/23.81 % SZS status Started for theBenchmark.p
% 139.61/23.81 % SZS status Unsatisfiable for theBenchmark.p
% 139.61/23.81
% 139.61/23.81 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 139.61/23.81
% 139.61/23.81 ------ iProver source info
% 139.61/23.81
% 139.61/23.81 git: date: 2023-05-31 18:12:56 +0000
% 139.61/23.81 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 139.61/23.81 git: non_committed_changes: false
% 139.61/23.81 git: last_make_outside_of_git: false
% 139.61/23.81
% 139.61/23.81 ------ Parsing...successful
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 139.61/23.81
% 139.61/23.81 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 139.61/23.81
% 139.61/23.81 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 139.61/23.81 ------ Proving...
% 139.61/23.81 ------ Problem Properties
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81 clauses 7
% 139.61/23.81 conjectures 1
% 139.61/23.81 EPR 0
% 139.61/23.81 Horn 7
% 139.61/23.81 unary 7
% 139.61/23.81 binary 0
% 139.61/23.81 lits 7
% 139.61/23.81 lits eq 7
% 139.61/23.81 fd_pure 0
% 139.61/23.81 fd_pseudo 0
% 139.61/23.81 fd_cond 0
% 139.61/23.81 fd_pseudo_cond 0
% 139.61/23.81 AC symbols 0
% 139.61/23.81
% 139.61/23.81 ------ Input Options Time Limit: Unbounded
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81 ------
% 139.61/23.81 Current options:
% 139.61/23.81 ------
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81 ------ Proving...
% 139.61/23.81
% 139.61/23.81
% 139.61/23.81 % SZS status Unsatisfiable for theBenchmark.p
% 139.61/23.81
% 139.61/23.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 139.61/23.81
% 139.61/23.82
%------------------------------------------------------------------------------