TSTP Solution File: GRP043-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 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 00:56:49 EDT 2023
% Result : Unsatisfiable 2.28s 1.19s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 6 unt; 0 nHn; 14 RR)
% Number of literals : 33 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c_50,plain,
equalish(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_equals_c) ).
cnf(c_51,negated_conjecture,
~ equalish(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
cnf(c_52,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function2) ).
cnf(c_58,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c_59,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_147,plain,
( ~ product(X0,X1,a)
| ~ equalish(a,b)
| product(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_148,plain,
( ~ product(X0,X1,b)
| ~ equalish(b,c)
| product(X0,X1,c) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_149,plain,
( ~ product(identity,X0,X0)
| ~ product(identity,X0,X1)
| equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_160,plain,
( ~ product(identity,a,a)
| ~ equalish(a,b)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_176,plain,
( ~ product(identity,a,a)
| ~ product(identity,a,c)
| equalish(a,c) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_190,plain,
( ~ product(identity,X0,b)
| ~ equalish(b,c)
| product(identity,X0,c) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_191,plain,
( ~ product(identity,a,b)
| ~ equalish(b,c)
| product(identity,a,c) ),
inference(instantiation,[status(thm)],[c_190]) ).
cnf(c_192,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_191,c_176,c_160,c_59,c_51,c_49,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n023.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 : Mon Aug 28 22:35:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.28/1.19 % SZS status Started for theBenchmark.p
% 2.28/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.19
% 2.28/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.28/1.19
% 2.28/1.19 ------ iProver source info
% 2.28/1.19
% 2.28/1.19 git: date: 2023-05-31 18:12:56 +0000
% 2.28/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.28/1.19 git: non_committed_changes: false
% 2.28/1.19 git: last_make_outside_of_git: false
% 2.28/1.19
% 2.28/1.19 ------ Parsing...successful
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.28/1.19
% 2.28/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.28/1.19 ------ Proving...
% 2.28/1.19 ------ Problem Properties
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19 clauses 10
% 2.28/1.19 conjectures 1
% 2.28/1.19 EPR 8
% 2.28/1.19 Horn 10
% 2.28/1.19 unary 6
% 2.28/1.19 binary 0
% 2.28/1.19 lits 20
% 2.28/1.19 lits eq 0
% 2.28/1.19 fd_pure 0
% 2.28/1.19 fd_pseudo 0
% 2.28/1.19 fd_cond 0
% 2.28/1.19 fd_pseudo_cond 0
% 2.28/1.19 AC symbols 0
% 2.28/1.19
% 2.28/1.19 ------ Schedule dynamic 5 is on
% 2.28/1.19
% 2.28/1.19 ------ no equalities: superposition off
% 2.28/1.19
% 2.28/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19 ------
% 2.28/1.19 Current options:
% 2.28/1.19 ------
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19 ------ Proving...
% 2.28/1.19
% 2.28/1.19
% 2.28/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 2.28/1.19
% 2.28/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.28/1.19
% 2.28/1.19
%------------------------------------------------------------------------------