TSTP Solution File: GRP047-2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% 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 : Thu Aug 31 00:56:50 EDT 2023
% Result : Unsatisfiable 3.84s 1.16s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 13 unt; 0 nHn; 27 RR)
% Number of literals : 79 ( 0 equ; 49 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 : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
cnf(c_50,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_substitution2) ).
cnf(c_51,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_53,plain,
product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity2) ).
cnf(c_57,plain,
( ~ product(X0,X1,X2)
| ~ equalish(X2,X3)
| product(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',product_substitution3) ).
cnf(c_58,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_139,plain,
( ~ product(X0,X1,a)
| ~ equalish(a,b)
| product(X0,X1,b) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_140,plain,
( ~ product(identity,X0,X0)
| ~ product(identity,X0,X1)
| equalish(X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
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_152,plain,
( ~ product(identity,a,a)
| ~ equalish(a,b)
| product(identity,a,b) ),
inference(instantiation,[status(thm)],[c_139]) ).
cnf(c_176,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,X2,multiply(X0,X2))
| ~ product(X1,X3,X2)
| product(multiply(X0,X1),X3,multiply(X0,X2)) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_178,plain,
( ~ product(identity,multiply(c,a),multiply(c,a))
| ~ product(identity,multiply(c,a),multiply(c,b))
| equalish(multiply(c,a),multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_140]) ).
cnf(c_187,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ product(identity,X0,X3)
| product(identity,X2,X4) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_243,plain,
product(identity,multiply(c,a),multiply(c,a)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_351,plain,
product(X0,identity,multiply(X0,identity)),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_523,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,identity,multiply(X0,identity))
| ~ product(identity,X1,X1)
| product(multiply(X0,identity),X1,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_530,plain,
( ~ product(X0,X1,multiply(X0,X1))
| ~ product(X0,identity,multiply(X0,identity))
| ~ product(identity,X2,X1)
| product(multiply(X0,identity),X2,multiply(X0,X1)) ),
inference(instantiation,[status(thm)],[c_176]) ).
cnf(c_736,plain,
( ~ product(X0,X1,multiply(c,a))
| ~ product(X2,X1,multiply(c,b))
| ~ product(identity,X0,X2)
| product(identity,multiply(c,a),multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_187]) ).
cnf(c_781,plain,
product(c,a,multiply(c,a)),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1122,plain,
product(identity,multiply(X0,X1),multiply(X0,X1)),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2080,plain,
( ~ product(c,a,multiply(c,a))
| ~ product(c,identity,multiply(c,identity))
| ~ product(identity,a,a)
| product(multiply(c,identity),a,multiply(c,a)) ),
inference(instantiation,[status(thm)],[c_523]) ).
cnf(c_2081,plain,
( ~ product(multiply(c,identity),a,multiply(c,a))
| ~ product(X0,a,multiply(c,b))
| ~ product(identity,multiply(c,identity),X0)
| product(identity,multiply(c,a),multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_736]) ).
cnf(c_4177,plain,
product(c,identity,multiply(c,identity)),
inference(instantiation,[status(thm)],[c_351]) ).
cnf(c_4310,plain,
( ~ product(multiply(c,identity),a,multiply(c,a))
| ~ product(multiply(c,identity),a,multiply(c,b))
| ~ product(identity,multiply(c,identity),multiply(c,identity))
| product(identity,multiply(c,a),multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_2081]) ).
cnf(c_4311,plain,
( ~ product(c,b,multiply(c,b))
| ~ product(c,identity,multiply(c,identity))
| ~ product(identity,a,b)
| product(multiply(c,identity),a,multiply(c,b)) ),
inference(instantiation,[status(thm)],[c_530]) ).
cnf(c_4540,plain,
product(identity,multiply(c,identity),multiply(c,identity)),
inference(instantiation,[status(thm)],[c_1122]) ).
cnf(c_4647,plain,
product(c,b,multiply(c,b)),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_4649,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_4647,c_4540,c_4311,c_4310,c_4177,c_2080,c_781,c_243,c_178,c_152,c_50,c_58,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Mon Aug 28 21:44:15 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.84/1.16 % SZS status Started for theBenchmark.p
% 3.84/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.16
% 3.84/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.84/1.16
% 3.84/1.16 ------ iProver source info
% 3.84/1.16
% 3.84/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.84/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.84/1.16 git: non_committed_changes: false
% 3.84/1.16 git: last_make_outside_of_git: false
% 3.84/1.16
% 3.84/1.16 ------ Parsing...successful
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 3.84/1.16
% 3.84/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.84/1.16 ------ Proving...
% 3.84/1.16 ------ Problem Properties
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16 clauses 9
% 3.84/1.16 conjectures 1
% 3.84/1.16 EPR 6
% 3.84/1.16 Horn 9
% 3.84/1.16 unary 5
% 3.84/1.16 binary 0
% 3.84/1.16 lits 19
% 3.84/1.16 lits eq 0
% 3.84/1.16 fd_pure 0
% 3.84/1.16 fd_pseudo 0
% 3.84/1.16 fd_cond 0
% 3.84/1.16 fd_pseudo_cond 0
% 3.84/1.16 AC symbols 0
% 3.84/1.16
% 3.84/1.16 ------ Schedule dynamic 5 is on
% 3.84/1.16
% 3.84/1.16 ------ no equalities: superposition off
% 3.84/1.16
% 3.84/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16 ------
% 3.84/1.16 Current options:
% 3.84/1.16 ------
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16 ------ Proving...
% 3.84/1.16
% 3.84/1.16
% 3.84/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 3.84/1.16
% 3.84/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/1.16
% 3.84/1.16
%------------------------------------------------------------------------------