TSTP Solution File: GRP030-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP030-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 02:19:50 EDT 2024
% Result : Unsatisfiable 2.85s 1.15s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 14 unt; 0 nHn; 6 RR)
% Number of literals : 22 ( 14 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(c_50,plain,
product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(c_51,negated_conjecture,
~ product(a,identity,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_a_right_identity) ).
cnf(c_55,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP002-0.ax',associativity2) ).
cnf(c_60,plain,
multiply(identity,X0) = X0,
inference(well_definedness,[status(thm)],[c_49]) ).
cnf(c_61,plain,
multiply(inverse(X0),X0) = identity,
inference(well_definedness,[status(thm)],[c_50]) ).
cnf(c_62,plain,
multiply(a,identity) != a,
inference(well_definedness,[status(thm)],[c_51]) ).
cnf(c_68,plain,
( multiply(X0,X1) != X2
| multiply(X0,X3) != X4
| multiply(X1,X5) != X3
| multiply(X2,X5) = X4 ),
inference(well_definedness,[status(thm)],[c_55]) ).
cnf(c_105,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(unflattening,[status(thm)],[c_68]) ).
cnf(c_149,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_61,c_105]) ).
cnf(c_153,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_149,c_60]) ).
cnf(c_155,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_61,c_153]) ).
cnf(c_157,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_153,c_153]) ).
cnf(c_165,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_155,c_157]) ).
cnf(c_166,plain,
a != a,
inference(demodulation,[status(thm)],[c_62,c_165]) ).
cnf(c_167,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n006.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 23:50:19 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 2.85/1.15 % SZS status Started for theBenchmark.p
% 2.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.15
% 2.85/1.15 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.85/1.15
% 2.85/1.15 ------ iProver source info
% 2.85/1.15
% 2.85/1.15 git: date: 2024-05-02 19:28:25 +0000
% 2.85/1.15 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.85/1.15 git: non_committed_changes: false
% 2.85/1.15
% 2.85/1.15 ------ Parsing...successful
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------ Preprocessing... sup_sim: 4 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 2.85/1.15
% 2.85/1.15 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.85/1.15
% 2.85/1.15 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.85/1.15 ------ Proving...
% 2.85/1.15 ------ Problem Properties
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 clauses 4
% 2.85/1.15 conjectures 0
% 2.85/1.15 EPR 0
% 2.85/1.15 Horn 4
% 2.85/1.15 unary 4
% 2.85/1.15 binary 0
% 2.85/1.15 lits 4
% 2.85/1.15 lits eq 4
% 2.85/1.15 fd_pure 0
% 2.85/1.15 fd_pseudo 0
% 2.85/1.15 fd_cond 0
% 2.85/1.15 fd_pseudo_cond 0
% 2.85/1.15 AC symbols 0
% 2.85/1.15
% 2.85/1.15 ------ Schedule UEQ
% 2.85/1.15
% 2.85/1.15 ------ Option_UEQ Time Limit: 10.
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------
% 2.85/1.15 Current options:
% 2.85/1.15 ------
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 ------ Proving...
% 2.85/1.15
% 2.85/1.15
% 2.85/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 2.85/1.15
% 2.85/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.85/1.15
% 2.85/1.15
%------------------------------------------------------------------------------