TSTP Solution File: GRP123-2.003 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:21:13 EDT 2024
% Result : Unsatisfiable 0.47s 1.17s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of clauses : 31 ( 11 unt; 5 nHn; 30 RR)
% Number of literals : 76 ( 0 equ; 50 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 : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_55,plain,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
cnf(c_56,plain,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
cnf(c_57,plain,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
cnf(c_58,plain,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
cnf(c_59,plain,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
cnf(c_61,plain,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
cnf(c_64,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/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
cnf(c_66,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
cnf(c_67,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
cnf(c_68,plain,
product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
cnf(c_69,negated_conjecture,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
cnf(c_71,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_199,plain,
( ~ product(X0,X1,e_2)
| ~ product(X0,X2,e_1)
| ~ product(e_1,X2,X3)
| ~ product(e_2,X1,X3) ),
inference(resolution,[status(thm)],[c_58,c_69]) ).
cnf(c_240,plain,
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_59,c_66]) ).
cnf(c_241,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_240]) ).
cnf(c_261,plain,
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_59,c_67]) ).
cnf(c_294,plain,
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[c_61,c_66]) ).
cnf(c_315,plain,
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[c_61,c_67]) ).
cnf(c_493,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_499,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_513,plain,
( ~ group_element(X0)
| ~ group_element(e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_516,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_64]) ).
cnf(c_519,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_516]) ).
cnf(c_556,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_315]) ).
cnf(c_557,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_261]) ).
cnf(c_586,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[c_513]) ).
cnf(c_591,plain,
( ~ product(X0,X1,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X0,e_3,e_2)
| ~ product(e_2,e_3,X2) ),
inference(instantiation,[status(thm)],[c_199]) ).
cnf(c_594,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_2)
| ~ product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[c_591]) ).
cnf(c_596,plain,
( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_294]) ).
cnf(c_661,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[c_596]) ).
cnf(c_662,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_661,c_594,c_586,c_556,c_557,c_519,c_499,c_493,c_241,c_71,c_55,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 00:09:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.17 % SZS status Started for theBenchmark.p
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.17
% 0.47/1.17 ------ iProver source info
% 0.47/1.17
% 0.47/1.17 git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.17 git: non_committed_changes: false
% 0.47/1.17
% 0.47/1.17 ------ Parsing...successful
% 0.47/1.17
% 0.47/1.17 ------ preprocesses with Option_epr_non_horn_non_eq
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e
% 0.47/1.17
% 0.47/1.17 ------ Preprocessing...------ preprocesses with Option_epr_non_horn_non_eq
% 0.47/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.47/1.17 ------ Proving...
% 0.47/1.17 ------ Problem Properties
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 clauses 21
% 0.47/1.17 conjectures 0
% 0.47/1.17 EPR 21
% 0.47/1.17 Horn 20
% 0.47/1.17 unary 5
% 0.47/1.17 binary 9
% 0.47/1.17 lits 52
% 0.47/1.17 lits eq 0
% 0.47/1.17 fd_pure 0
% 0.47/1.17 fd_pseudo 0
% 0.47/1.17 fd_cond 0
% 0.47/1.17 fd_pseudo_cond 0
% 0.47/1.17 AC symbols 0
% 0.47/1.17
% 0.47/1.17 ------ Schedule EPR non Horn non eq is on
% 0.47/1.17
% 0.47/1.17 ------ no conjectures: strip conj schedule
% 0.47/1.17
% 0.47/1.17 ------ no equalities: superposition off
% 0.47/1.17
% 0.47/1.17 ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------
% 0.47/1.17 Current options:
% 0.47/1.17 ------
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 ------ Proving...
% 0.47/1.17
% 0.47/1.17
% 0.47/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.47/1.17
% 0.47/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.17
% 0.47/1.17
%------------------------------------------------------------------------------