TSTP Solution File: GRP075-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP075-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.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 00:57:24 EDT 2023
% Result : Unsatisfiable 0.47s 1.15s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of clauses : 53 ( 49 unt; 0 nHn; 7 RR)
% Number of literals : 59 ( 58 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
double_divide(double_divide(X0,X1),identity) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
double_divide(X0,identity) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
double_divide(X0,inverse(X0)) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
cnf(c_53,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_72,plain,
inverse(double_divide(X0,X1)) = multiply(X1,X0),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_73,plain,
double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(light_normalisation,[status(thm)],[c_49,c_51]) ).
cnf(c_74,plain,
double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(demodulation,[status(thm)],[c_73,c_51,c_52]) ).
cnf(c_135,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_51,c_72]) ).
cnf(c_136,plain,
multiply(inverse(X0),X0) = inverse(identity),
inference(superposition,[status(thm)],[c_52,c_72]) ).
cnf(c_138,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| inverse(identity) != identity ),
inference(demodulation,[status(thm)],[c_53,c_136]) ).
cnf(c_165,plain,
double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_168,plain,
double_divide(double_divide(double_divide(X0,multiply(identity,X1)),double_divide(inverse(X2),inverse(X0))),inverse(X1)) = X2,
inference(superposition,[status(thm)],[c_135,c_74]) ).
cnf(c_169,plain,
double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_334,plain,
double_divide(double_divide(identity,identity),inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_52,c_165]) ).
cnf(c_341,plain,
inverse(double_divide(identity,double_divide(inverse(X0),inverse(identity)))) = X0,
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_380,plain,
double_divide(inverse(identity),inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_334,c_51]) ).
cnf(c_389,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_380,c_52]) ).
cnf(c_393,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_138,c_389]) ).
cnf(c_394,plain,
double_divide(identity,inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_380,c_389]) ).
cnf(c_466,plain,
double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(superposition,[status(thm)],[c_389,c_74]) ).
cnf(c_476,plain,
double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0) = X1,
inference(light_normalisation,[status(thm)],[c_466,c_394]) ).
cnf(c_493,plain,
multiply(inverse(X0),identity) = inverse(X0),
inference(superposition,[status(thm)],[c_394,c_72]) ).
cnf(c_678,plain,
multiply(multiply(X0,X1),identity) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_72,c_493]) ).
cnf(c_958,plain,
inverse(double_divide(identity,double_divide(inverse(X0),identity))) = X0,
inference(light_normalisation,[status(thm)],[c_341,c_389]) ).
cnf(c_959,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_958,c_51,c_72,c_135,c_678]) ).
cnf(c_964,plain,
inverse(inverse(X0)) = X0,
inference(demodulation,[status(thm)],[c_135,c_959]) ).
cnf(c_965,plain,
double_divide(double_divide(double_divide(X0,X1),double_divide(inverse(X2),inverse(X0))),inverse(X1)) = X2,
inference(demodulation,[status(thm)],[c_168,c_959]) ).
cnf(c_968,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2 ),
inference(demodulation,[status(thm)],[c_393,c_959]) ).
cnf(c_969,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(equality_resolution_simp,[status(thm)],[c_968]) ).
cnf(c_1156,plain,
double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(demodulation,[status(thm)],[c_169,c_51,c_72]) ).
cnf(c_1166,plain,
double_divide(multiply(inverse(X0),X1),X0) = inverse(X1),
inference(superposition,[status(thm)],[c_964,c_1156]) ).
cnf(c_1173,plain,
multiply(X0,multiply(inverse(X0),inverse(X1))) = inverse(X1),
inference(superposition,[status(thm)],[c_1156,c_72]) ).
cnf(c_1247,plain,
double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_476,c_51,c_964]) ).
cnf(c_1260,plain,
double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_1247,c_1247]) ).
cnf(c_1263,plain,
multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_1247,c_72]) ).
cnf(c_1293,plain,
multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(superposition,[status(thm)],[c_1247,c_1263]) ).
cnf(c_1332,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[status(thm)],[c_964,c_1173]) ).
cnf(c_1406,plain,
double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_1263,c_1332]) ).
cnf(c_1510,plain,
double_divide(X0,inverse(X1)) = multiply(inverse(X0),X1),
inference(superposition,[status(thm)],[c_1166,c_1260]) ).
cnf(c_1608,plain,
double_divide(inverse(X0),double_divide(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_72,c_1406]) ).
cnf(c_1609,plain,
double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_964,c_1406]) ).
cnf(c_1691,plain,
double_divide(double_divide(X0,X1),inverse(X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[status(thm)],[c_72,c_1510]) ).
cnf(c_2135,plain,
double_divide(double_divide(X0,X1),multiply(X2,X3)) = multiply(multiply(X1,X0),double_divide(X3,X2)),
inference(superposition,[status(thm)],[c_72,c_1691]) ).
cnf(c_2829,plain,
multiply(double_divide(double_divide(X0,X1),multiply(X2,X0)),X2) = X1,
inference(demodulation,[status(thm)],[c_965,c_1609,c_1691,c_2135]) ).
cnf(c_2850,plain,
multiply(double_divide(double_divide(X0,X1),inverse(X2)),double_divide(X2,X0)) = X1,
inference(superposition,[status(thm)],[c_1293,c_2829]) ).
cnf(c_2868,plain,
multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X1)) = X0,
inference(light_normalisation,[status(thm)],[c_2850,c_1691]) ).
cnf(c_3312,plain,
double_divide(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = X1,
inference(demodulation,[status(thm)],[c_2868,c_2135]) ).
cnf(c_3344,plain,
multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X0))) = inverse(X2),
inference(superposition,[status(thm)],[c_3312,c_72]) ).
cnf(c_3431,plain,
double_divide(double_divide(X0,X1),multiply(multiply(X2,X1),X0)) = inverse(X2),
inference(demodulation,[status(thm)],[c_3344,c_2135]) ).
cnf(c_3461,plain,
double_divide(inverse(X0),double_divide(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_3431,c_1247]) ).
cnf(c_3474,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(light_normalisation,[status(thm)],[c_3461,c_1608]) ).
cnf(c_3483,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_969,c_3474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP075-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Tue Aug 29 00:00:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15 % SZS status Started for theBenchmark.p
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.47/1.15
% 0.47/1.15 ------ iProver source info
% 0.47/1.15
% 0.47/1.15 git: date: 2023-05-31 18:12:56 +0000
% 0.47/1.15 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.47/1.15 git: non_committed_changes: false
% 0.47/1.15 git: last_make_outside_of_git: false
% 0.47/1.15
% 0.47/1.15 ------ Parsing...successful
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.15
% 0.47/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.47/1.15 ------ Proving...
% 0.47/1.15 ------ Problem Properties
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 clauses 5
% 0.47/1.15 conjectures 1
% 0.47/1.15 EPR 0
% 0.47/1.15 Horn 5
% 0.47/1.15 unary 4
% 0.47/1.15 binary 0
% 0.47/1.15 lits 7
% 0.47/1.15 lits eq 7
% 0.47/1.15 fd_pure 0
% 0.47/1.15 fd_pseudo 0
% 0.47/1.15 fd_cond 0
% 0.47/1.15 fd_pseudo_cond 0
% 0.47/1.15 AC symbols 0
% 0.47/1.15
% 0.47/1.15 ------ Schedule dynamic 5 is on
% 0.47/1.15
% 0.47/1.15 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------
% 0.47/1.15 Current options:
% 0.47/1.15 ------
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 ------ Proving...
% 0.47/1.15
% 0.47/1.15
% 0.47/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.15
% 0.47/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15
% 0.47/1.16
%------------------------------------------------------------------------------