TSTP Solution File: GRP047-2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 02:19:54 EDT 2024
% Result : Unsatisfiable 7.88s 1.67s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 40 ( 6 unt; 0 nHn; 36 RR)
% Number of literals : 102 ( 0 equ; 67 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 111 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c_50,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
cnf(c_51,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_53,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',total_function1) ).
cnf(c_54,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_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c_56,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c_57,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_58,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_113,plain,
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(resolution,[status(thm)],[c_49,c_57]) ).
cnf(c_150,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X2,X3)
| ~ product(X1,X4,X2)
| product(multiply(X0,X1),X4,X3) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_151,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_152,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X1,X2)
| equalish(multiply(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_157,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(global_subsumption_just,[status(thm)],[c_151,c_53,c_151]) ).
cnf(c_214,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X1,X2)
| equalish(multiply(X0,X1),X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_215,plain,
( ~ product(X0,X1,X2)
| equalish(multiply(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_214,c_53,c_152]) ).
cnf(c_221,plain,
( ~ product(X0,X1,a)
| ~ equalish(a,b)
| product(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_222,plain,
( ~ product(X0,X1,a)
| product(X0,X1,b) ),
inference(global_subsumption_just,[status(thm)],[c_221,c_113]) ).
cnf(c_276,plain,
( ~ product(identity,a,a)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[c_222]) ).
cnf(c_324,plain,
( ~ product(c,a,multiply(c,b))
| equalish(multiply(c,a),multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_633,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X2,X3)
| ~ product(X1,X4,X2)
| product(multiply(X0,X1),X4,X3) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_634,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_643,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(global_subsumption_just,[status(thm)],[c_634,c_53,c_151]) ).
cnf(c_645,plain,
( ~ product(X0,X2,X3)
| ~ product(X1,X4,X2)
| product(multiply(X0,X1),X4,X3) ),
inference(global_subsumption_just,[status(thm)],[c_633,c_53,c_150]) ).
cnf(c_646,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X1)
| product(multiply(X0,X3),X4,X2) ),
inference(renaming,[status(thm)],[c_645]) ).
cnf(c_706,plain,
( ~ product(X0,X1,X2)
| ~ product(identity,X3,X1)
| product(multiply(X0,identity),X3,X2) ),
inference(instantiation,[status(thm)],[c_646]) ).
cnf(c_813,plain,
( ~ product(multiply(c,X0),X1,multiply(c,b))
| ~ product(X0,X1,a)
| product(c,a,multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_643]) ).
cnf(c_1225,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(identity,X2,X1)
| product(multiply(X0,identity),X2,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_706]) ).
cnf(c_1226,plain,
( ~ product(identity,X2,X1)
| product(multiply(X0,identity),X2,multiply(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1225,c_53,c_1225]) ).
cnf(c_1227,plain,
( ~ product(identity,X0,X1)
| product(multiply(X2,identity),X0,multiply(X2,X1)) ),
inference(renaming,[status(thm)],[c_1226]) ).
cnf(c_6699,plain,
( ~ product(identity,X0,b)
| product(multiply(c,identity),X0,multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_1227]) ).
cnf(c_6700,plain,
( ~ product(identity,a,b)
| product(multiply(c,identity),a,multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_6699]) ).
cnf(c_7691,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X0,X1,multiply(X0,X1))
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_7695,plain,
( ~ product(multiply(X0,X1),X2,X3)
| ~ product(X1,X2,X4)
| product(X0,X4,X3) ),
inference(global_subsumption_just,[status(thm)],[c_7691,c_157]) ).
cnf(c_8158,plain,
( ~ product(multiply(c,X0),X1,multiply(c,b))
| ~ product(X0,X1,a)
| product(c,a,multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_7695]) ).
cnf(c_8159,plain,
( ~ product(X0,X1,a)
| ~ product(multiply(c,X0),X1,multiply(c,b)) ),
inference(global_subsumption_just,[status(thm)],[c_8158,c_50,c_324,c_813]) ).
cnf(c_8160,plain,
( ~ product(multiply(c,X0),X1,multiply(c,b))
| ~ product(X0,X1,a) ),
inference(renaming,[status(thm)],[c_8159]) ).
cnf(c_8327,plain,
( ~ product(multiply(c,identity),X0,multiply(c,b))
| ~ product(identity,X0,a) ),
inference(instantiation,[status(thm)],[c_8160]) ).
cnf(c_8328,plain,
( ~ product(multiply(c,identity),a,multiply(c,b))
| ~ product(identity,a,a) ),
inference(instantiation,[status(thm)],[c_8327]) ).
cnf(c_8329,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_8328,c_6700,c_276,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n016.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 00:22:15 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 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
% 7.88/1.67 % SZS status Started for theBenchmark.p
% 7.88/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.67
% 7.88/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.88/1.67
% 7.88/1.67 ------ iProver source info
% 7.88/1.67
% 7.88/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.88/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.88/1.67 git: non_committed_changes: false
% 7.88/1.67
% 7.88/1.67 ------ Parsing...successful
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 7.88/1.67
% 7.88/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.67 ------ Proving...
% 7.88/1.67 ------ Problem Properties
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 clauses 9
% 7.88/1.67 conjectures 1
% 7.88/1.67 EPR 6
% 7.88/1.67 Horn 9
% 7.88/1.67 unary 5
% 7.88/1.67 binary 0
% 7.88/1.67 lits 19
% 7.88/1.67 lits eq 0
% 7.88/1.67 fd_pure 0
% 7.88/1.67 fd_pseudo 0
% 7.88/1.67 fd_cond 0
% 7.88/1.67 fd_pseudo_cond 0
% 7.88/1.67 AC symbols 0
% 7.88/1.67
% 7.88/1.67 ------ Input Options Time Limit: Unbounded
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 ------
% 7.88/1.67 Current options:
% 7.88/1.67 ------
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 ------ Proving...
% 7.88/1.67
% 7.88/1.67
% 7.88/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.88/1.67
% 7.88/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.67
% 7.88/1.67
%------------------------------------------------------------------------------