TSTP Solution File: GRP068-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP068-1 : 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 00:57:15 EDT 2023
% Result : Unsatisfiable 3.75s 1.14s
% Output : CNFRefutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of clauses : 42 ( 40 unt; 0 nHn; 5 RR)
% Number of literals : 45 ( 44 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
divide(X0,divide(divide(divide(identity,X1),X2),divide(divide(divide(X0,X0),X0),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(c_50,plain,
divide(X0,divide(identity,X1)) = multiply(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(c_51,plain,
divide(identity,X0) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(c_52,plain,
divide(X0,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,
divide(X0,inverse(X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[c_50,c_51]) ).
cnf(c_73,plain,
divide(X0,divide(divide(divide(identity,X1),X2),divide(inverse(X0),X2))) = X1,
inference(light_normalisation,[status(thm)],[c_49,c_51,c_52]) ).
cnf(c_74,plain,
divide(X0,divide(divide(inverse(X1),X2),divide(inverse(X0),X2))) = X1,
inference(demodulation,[status(thm)],[c_73,c_51]) ).
cnf(c_135,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_52,c_51]) ).
cnf(c_139,plain,
divide(X0,identity) = multiply(X0,identity),
inference(superposition,[status(thm)],[c_135,c_72]) ).
cnf(c_140,plain,
multiply(inverse(X0),X0) = identity,
inference(superposition,[status(thm)],[c_72,c_52]) ).
cnf(c_141,plain,
multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_72,c_51]) ).
cnf(c_142,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_53,c_140]) ).
cnf(c_152,plain,
divide(X0,identity) = X0,
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_153,plain,
divide(X0,divide(identity,divide(inverse(X0),inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_157,plain,
divide(X0,divide(divide(inverse(X1),inverse(X0)),identity)) = X1,
inference(superposition,[status(thm)],[c_52,c_74]) ).
cnf(c_195,plain,
multiply(X0,identity) = X0,
inference(light_normalisation,[status(thm)],[c_139,c_152]) ).
cnf(c_204,plain,
divide(X0,multiply(identity,X1)) = multiply(X0,inverse(X1)),
inference(superposition,[status(thm)],[c_141,c_72]) ).
cnf(c_287,plain,
multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_153,c_51,c_72]) ).
cnf(c_289,plain,
multiply(X0,inverse(X0)) = identity,
inference(superposition,[status(thm)],[c_195,c_287]) ).
cnf(c_337,plain,
multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[status(thm)],[c_289,c_287]) ).
cnf(c_339,plain,
inverse(inverse(X0)) = X0,
inference(light_normalisation,[status(thm)],[c_337,c_141,c_195]) ).
cnf(c_342,plain,
multiply(identity,X0) = X0,
inference(demodulation,[status(thm)],[c_141,c_339]) ).
cnf(c_343,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_142,c_342]) ).
cnf(c_345,plain,
multiply(X0,inverse(X1)) = divide(X0,X1),
inference(demodulation,[status(thm)],[c_204,c_342]) ).
cnf(c_350,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_339,c_287]) ).
cnf(c_351,plain,
divide(inverse(X0),divide(divide(inverse(X1),X2),divide(X0,X2))) = X1,
inference(superposition,[status(thm)],[c_339,c_74]) ).
cnf(c_444,plain,
divide(X0,multiply(inverse(X1),X0)) = X1,
inference(demodulation,[status(thm)],[c_157,c_72,c_152]) ).
cnf(c_449,plain,
divide(multiply(inverse(inverse(X0)),X1),X1) = X0,
inference(superposition,[status(thm)],[c_287,c_444]) ).
cnf(c_451,plain,
divide(X0,multiply(X1,X0)) = inverse(X1),
inference(superposition,[status(thm)],[c_339,c_444]) ).
cnf(c_454,plain,
divide(multiply(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_449,c_339]) ).
cnf(c_521,plain,
multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_454,c_72]) ).
cnf(c_523,plain,
multiply(divide(X0,X1),X1) = X0,
inference(light_normalisation,[status(thm)],[c_521,c_345]) ).
cnf(c_560,plain,
inverse(divide(X0,X1)) = divide(X1,X0),
inference(superposition,[status(thm)],[c_523,c_451]) ).
cnf(c_573,plain,
divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(superposition,[status(thm)],[c_72,c_560]) ).
cnf(c_616,plain,
divide(X0,divide(inverse(X1),X2)) = multiply(X0,multiply(X2,X1)),
inference(superposition,[status(thm)],[c_573,c_72]) ).
cnf(c_905,plain,
divide(X0,divide(divide(inverse(X1),X2),X3)) = multiply(X0,multiply(X3,multiply(X2,X1))),
inference(superposition,[status(thm)],[c_573,c_616]) ).
cnf(c_964,plain,
multiply(inverse(X0),multiply(divide(X0,X1),multiply(X1,X2))) = X2,
inference(demodulation,[status(thm)],[c_351,c_905]) ).
cnf(c_986,plain,
multiply(divide(X0,X1),multiply(X1,X2)) = multiply(inverse(inverse(X0)),X2),
inference(superposition,[status(thm)],[c_964,c_350]) ).
cnf(c_1001,plain,
multiply(divide(X0,X1),multiply(X1,X2)) = multiply(X0,X2),
inference(light_normalisation,[status(thm)],[c_986,c_339]) ).
cnf(c_1357,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_454,c_1001]) ).
cnf(c_1385,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_343,c_1357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP068-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n023.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 02:17:10 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.75/1.14 % SZS status Started for theBenchmark.p
% 3.75/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.14
% 3.75/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.75/1.14
% 3.75/1.14 ------ iProver source info
% 3.75/1.14
% 3.75/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.75/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.75/1.14 git: non_committed_changes: false
% 3.75/1.14 git: last_make_outside_of_git: false
% 3.75/1.14
% 3.75/1.14 ------ Parsing...successful
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14 ------ Preprocessing... sup_sim: 2 sf_s rm: 0 0s sf_e pe_s pe_e
% 3.75/1.14
% 3.75/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.75/1.14
% 3.75/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.75/1.14 ------ Proving...
% 3.75/1.14 ------ Problem Properties
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14 clauses 5
% 3.75/1.14 conjectures 1
% 3.75/1.14 EPR 0
% 3.75/1.14 Horn 5
% 3.75/1.14 unary 4
% 3.75/1.14 binary 0
% 3.75/1.14 lits 7
% 3.75/1.14 lits eq 7
% 3.75/1.14 fd_pure 0
% 3.75/1.14 fd_pseudo 0
% 3.75/1.14 fd_cond 0
% 3.75/1.14 fd_pseudo_cond 0
% 3.75/1.14 AC symbols 0
% 3.75/1.14
% 3.75/1.14 ------ Schedule dynamic 5 is on
% 3.75/1.14
% 3.75/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14 ------
% 3.75/1.14 Current options:
% 3.75/1.14 ------
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14 ------ Proving...
% 3.75/1.14
% 3.75/1.14
% 3.75/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 3.75/1.14
% 3.75/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.75/1.14
% 3.75/1.14
%------------------------------------------------------------------------------