%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR072-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 : 600s
% DateTime : Fri Jul 15 23:25:02 EDT 2022
% Result : Unsatisfiable 29.03s 29.25s
% Output : Refutation 29.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 6 RR)
% Number of literals : 6 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
equal(ifeq3(u,u,v,w),v),
file('CSR072-10.p',unknown),
[] ).
cnf(4316,axiom,
equal(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true__dfg),
file('CSR072-10.p',unknown),
[] ).
cnf(8011,axiom,
equal(ifeq3(genls(c_tptpcol_16_130924,c_tptpcol_15_130923),true__dfg,a,b),b),
file('CSR072-10.p',unknown),
[] ).
cnf(8012,axiom,
~ equal(b,a),
file('CSR072-10.p',unknown),
[] ).
cnf(8013,plain,
equal(b,a),
inference(rew,[status(thm),theory(equality)],[2,8011,4316]),
[iquote('0:Rew:2.0,8011.0,4316.0,8011.0')] ).
cnf(8014,plain,
$false,
inference(mrr,[status(thm)],[8013,8012]),
[iquote('0:MRR:8013.0,8012.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CSR072-10 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.14/0.37 % Computer : n008.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sat Jun 11 14:12:37 EDT 2022
% 0.14/0.37 % CPUTime :
% 29.03/29.25
% 29.03/29.25 SPASS V 3.9
% 29.03/29.25 SPASS beiseite: Proof found.
% 29.03/29.25 % SZS status Theorem
% 29.03/29.25 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.03/29.25 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 2523 clauses.
% 29.03/29.25 SPASS allocated 73806 KBytes.
% 29.03/29.25 SPASS spent 0:0:22.53 on the problem.
% 29.03/29.25 0:00:01.02 for the input.
% 29.03/29.25 0:00:00.00 for the FLOTTER CNF translation.
% 29.03/29.25 0:00:00.00 for inferences.
% 29.03/29.25 0:00:00.00 for the backtracking.
% 29.03/29.25 0:00:04.95 for the reduction.
% 29.03/29.25
% 29.03/29.25
% 29.03/29.25 Here is a proof with depth 0, length 6 :
% 29.03/29.25 % SZS output start Refutation
% See solution above
% 29.03/29.25 Formulae used in the proof : ifeq_axiom_001 ax2_4328 query172_1 goal
% 29.03/29.25
%------------------------------------------------------------------------------