TSTP Solution File: GRP004-2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GRP004-2 : 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 00:56:33 EDT 2023
% Result : Unsatisfiable 4.00s 1.16s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 28 ( 12 unt; 0 nHn; 24 RR)
% Number of literals : 76 ( 0 equ; 49 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
~ product(a,inverse(a),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_inverse) ).
cnf(c_50,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_identity) ).
cnf(c_51,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',left_inverse) ).
cnf(c_52,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(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP005-0.ax',associativity1) ).
cnf(c_55,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(identity,identity,identity),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_115,plain,
( ~ product(X0,X1,inverse(a))
| ~ product(X2,X1,identity)
| ~ product(a,X0,X2)
| product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_124,plain,
( ~ product(multiply(a,X0),X1,identity)
| ~ product(a,X0,multiply(a,X0))
| ~ product(X0,X1,inverse(a))
| product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_125,plain,
product(a,X0,multiply(a,X0)),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_127,plain,
product(a,identity,multiply(a,identity)),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_133,plain,
product(identity,a,a),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_136,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,a)
| product(X0,X4,a) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_159,plain,
( ~ product(multiply(a,identity),inverse(a),identity)
| ~ product(a,identity,multiply(a,identity))
| ~ product(identity,inverse(a),inverse(a))
| product(a,inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_160,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_235,plain,
( ~ product(X0,X1,identity)
| ~ product(X1,a,X2)
| ~ product(identity,a,a)
| product(X0,X2,a) ),
inference(instantiation,[status(thm)],[c_136]) ).
cnf(c_251,plain,
( ~ product(X0,X1,multiply(a,identity))
| ~ product(X1,inverse(a),X2)
| ~ product(X0,X2,identity)
| product(multiply(a,identity),inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_299,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_595,plain,
( ~ product(X0,inverse(a),identity)
| ~ product(inverse(a),a,identity)
| ~ product(identity,a,a)
| product(X0,identity,a) ),
inference(instantiation,[status(thm)],[c_235]) ).
cnf(c_699,plain,
product(inverse(inverse(a)),inverse(a),identity),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_711,plain,
( ~ product(X0,identity,multiply(a,identity))
| ~ product(identity,inverse(a),inverse(a))
| ~ product(X0,inverse(a),identity)
| product(multiply(a,identity),inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_251]) ).
cnf(c_952,plain,
( ~ product(X0,X1,multiply(a,X2))
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| product(X3,X5,multiply(a,X2)) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_1818,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_595]) ).
cnf(c_1830,plain,
( ~ product(inverse(inverse(a)),identity,multiply(a,identity))
| ~ product(inverse(inverse(a)),inverse(a),identity)
| ~ product(identity,inverse(a),inverse(a))
| product(multiply(a,identity),inverse(a),identity) ),
inference(instantiation,[status(thm)],[c_711]) ).
cnf(c_3862,plain,
( ~ product(a,X0,multiply(a,X0))
| ~ product(X1,X0,X2)
| ~ product(X3,X1,a)
| product(X3,X2,multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_952]) ).
cnf(c_10012,plain,
( ~ product(a,X0,multiply(a,X0))
| ~ product(inverse(inverse(a)),identity,a)
| ~ product(identity,X0,X1)
| product(inverse(inverse(a)),X1,multiply(a,X0)) ),
inference(instantiation,[status(thm)],[c_3862]) ).
cnf(c_10013,plain,
( ~ product(inverse(inverse(a)),identity,a)
| ~ product(a,identity,multiply(a,identity))
| ~ product(identity,identity,identity)
| product(inverse(inverse(a)),identity,multiply(a,identity)) ),
inference(instantiation,[status(thm)],[c_10012]) ).
cnf(c_10014,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_10013,c_1830,c_1818,c_699,c_299,c_160,c_159,c_133,c_127,c_49,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n023.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 20:26:25 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.47 Running first-order theorem proving
% 0.18/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.00/1.16 % SZS status Started for theBenchmark.p
% 4.00/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 4.00/1.16
% 4.00/1.16 ------ iProver source info
% 4.00/1.16
% 4.00/1.16 git: date: 2023-05-31 18:12:56 +0000
% 4.00/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 4.00/1.16 git: non_committed_changes: false
% 4.00/1.16 git: last_make_outside_of_git: false
% 4.00/1.16
% 4.00/1.16 ------ Parsing...successful
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 4.00/1.16
% 4.00/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.00/1.16 ------ Proving...
% 4.00/1.16 ------ Problem Properties
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 clauses 8
% 4.00/1.16 conjectures 1
% 4.00/1.16 EPR 5
% 4.00/1.16 Horn 8
% 4.00/1.16 unary 4
% 4.00/1.16 binary 0
% 4.00/1.16 lits 18
% 4.00/1.16 lits eq 0
% 4.00/1.16 fd_pure 0
% 4.00/1.16 fd_pseudo 0
% 4.00/1.16 fd_cond 0
% 4.00/1.16 fd_pseudo_cond 0
% 4.00/1.16 AC symbols 0
% 4.00/1.16
% 4.00/1.16 ------ Schedule dynamic 5 is on
% 4.00/1.16
% 4.00/1.16 ------ no equalities: superposition off
% 4.00/1.16
% 4.00/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------
% 4.00/1.16 Current options:
% 4.00/1.16 ------
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 ------ Proving...
% 4.00/1.16
% 4.00/1.16
% 4.00/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 4.00/1.16
% 4.00/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.16
% 4.00/1.16
%------------------------------------------------------------------------------