TSTP Solution File: GRP125-1.003 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.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 02:21:17 EDT 2024
% Result : Unsatisfiable 1.79s 1.13s
% Output : CNFRefutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 9 unt; 5 nHn; 30 RR)
% Number of literals : 77 ( 0 equ; 46 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).
cnf(c_51,plain,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).
cnf(c_52,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_53,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_58,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_59,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_total_function2) ).
cnf(c_60,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_61,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_62,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_63,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg3) ).
cnf(c_64,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_120,plain,
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[c_52,c_59]) ).
cnf(c_152,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_53,c_60]) ).
cnf(c_153,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_160,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_53,c_61]) ).
cnf(c_161,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_219,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_220,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_221,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_229,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X0,e_2)
| product(e_2,X2,X1) ),
inference(instantiation,[status(thm)],[c_219]) ).
cnf(c_231,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_255,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_258,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_255]) ).
cnf(c_259,plain,
( ~ group_element(X0)
| ~ group_element(e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_262,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[c_259]) ).
cnf(c_298,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_300,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_160]) ).
cnf(c_348,plain,
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,e_2)
| product(e_2,X1,X0) ),
inference(instantiation,[status(thm)],[c_229]) ).
cnf(c_447,plain,
( ~ product(X0,e_3,e_2)
| ~ product(e_3,X0,e_2)
| product(e_2,e_2,X0) ),
inference(instantiation,[status(thm)],[c_348]) ).
cnf(c_448,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[c_447]) ).
cnf(c_449,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_448,c_300,c_298,c_262,c_258,c_231,c_221,c_220,c_161,c_153,c_64,c_49,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu May 2 23:57:28 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.79/1.13 % SZS status Started for theBenchmark.p
% 1.79/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.13
% 1.79/1.13 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.79/1.13
% 1.79/1.13 ------ iProver source info
% 1.79/1.13
% 1.79/1.13 git: date: 2024-05-02 19:28:25 +0000
% 1.79/1.13 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.79/1.13 git: non_committed_changes: false
% 1.79/1.13
% 1.79/1.13 ------ Parsing...successful
% 1.79/1.13
% 1.79/1.13 ------ preprocesses with Option_epr_non_horn_non_eq
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e
% 1.79/1.13
% 1.79/1.13 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 1.79/1.13 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.79/1.13 ------ Proving...
% 1.79/1.13 ------ Problem Properties
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 clauses 15
% 1.79/1.13 conjectures 1
% 1.79/1.13 EPR 15
% 1.79/1.13 Horn 14
% 1.79/1.13 unary 4
% 1.79/1.13 binary 9
% 1.79/1.13 lits 30
% 1.79/1.13 lits eq 0
% 1.79/1.13 fd_pure 0
% 1.79/1.13 fd_pseudo 0
% 1.79/1.13 fd_cond 0
% 1.79/1.13 fd_pseudo_cond 0
% 1.79/1.13 AC symbols 0
% 1.79/1.13
% 1.79/1.13 ------ Schedule EPR non Horn non eq is on
% 1.79/1.13
% 1.79/1.13 ------ no equalities: superposition off
% 1.79/1.13
% 1.79/1.13 ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------
% 1.79/1.13 Current options:
% 1.79/1.13 ------
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 ------ Proving...
% 1.79/1.13
% 1.79/1.13
% 1.79/1.13 % SZS status Unsatisfiable for theBenchmark.p
% 1.79/1.13
% 1.79/1.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.79/1.13
% 1.79/1.13
%------------------------------------------------------------------------------