TSTP Solution File: GRP004-1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 00:56:32 EDT 2023
% Result : Unsatisfiable 2.53s 1.14s
% Output : CNFRefutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 9 unt; 0 nHn; 17 RR)
% Number of literals : 49 ( 0 equ; 32 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 31 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_50,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_51,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
cnf(c_52,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
cnf(c_53,negated_conjecture,
~ product(a,X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_right_inverse) ).
cnf(c_80,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X0,a)
| ~ product(X3,X2,identity)
| product(a,X1,identity) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_85,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_86,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,a)
| product(X0,X4,a) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_102,plain,
( ~ product(X0,X1,identity)
| ~ product(X1,a,X2)
| ~ product(identity,a,a)
| product(X0,X2,a) ),
inference(instantiation,[status(thm)],[c_86]) ).
cnf(c_111,plain,
( ~ product(X0,inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(X0,identity,a) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_112,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_172,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(inverse(inverse(a)),identity,a) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_173,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_396,plain,
( ~ product(inverse(inverse(a)),X0,identity)
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,X1,X0)
| product(a,X1,identity) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_409,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_466,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,X0,inverse(a))
| product(a,X0,identity) ),
inference(instantiation,[status(thm)],[c_396]) ).
cnf(c_880,plain,
( ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,inverse(a),inverse(a))
| product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_466]) ).
cnf(c_1696,plain,
~ product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_1697,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1696,c_880,c_409,c_173,c_172,c_112,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n020.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 20:41:13 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
% 2.53/1.14 % SZS status Started for theBenchmark.p
% 2.53/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.53/1.14
% 2.53/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.53/1.14
% 2.53/1.14 ------ iProver source info
% 2.53/1.14
% 2.53/1.14 git: date: 2023-05-31 18:12:56 +0000
% 2.53/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.53/1.14 git: non_committed_changes: false
% 2.53/1.14 git: last_make_outside_of_git: false
% 2.53/1.14
% 2.53/1.14 ------ Parsing...successful
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 2.53/1.14
% 2.53/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.53/1.14 ------ Proving...
% 2.53/1.14 ------ Problem Properties
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14 clauses 5
% 2.53/1.14 conjectures 1
% 2.53/1.14 EPR 4
% 2.53/1.14 Horn 5
% 2.53/1.14 unary 3
% 2.53/1.14 binary 0
% 2.53/1.14 lits 11
% 2.53/1.14 lits eq 0
% 2.53/1.14 fd_pure 0
% 2.53/1.14 fd_pseudo 0
% 2.53/1.14 fd_cond 0
% 2.53/1.14 fd_pseudo_cond 0
% 2.53/1.14 AC symbols 0
% 2.53/1.14
% 2.53/1.14 ------ Schedule dynamic 5 is on
% 2.53/1.14
% 2.53/1.14 ------ no equalities: superposition off
% 2.53/1.14
% 2.53/1.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14 ------
% 2.53/1.14 Current options:
% 2.53/1.14 ------
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14 ------ Proving...
% 2.53/1.14
% 2.53/1.14
% 2.53/1.14 % SZS status Unsatisfiable for theBenchmark.p
% 2.53/1.14
% 2.53/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.53/1.14
% 2.53/1.14
%------------------------------------------------------------------------------