%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : 600s
% DateTime : Fri Jul 15 01:44:46 EDT 2022
% Result : Theorem 0.54s 0.73s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(19,axiom,
~ equal(vsomeExp(u),vnoExp),
file('COM146+1.p',unknown),
[] ).
cnf(21,axiom,
equal(vreduce(vvar(u)),vnoExp),
file('COM146+1.p',unknown),
[] ).
cnf(22,axiom,
equal(vreduce(vvar(skc7)),vsomeExp(skc5)),
file('COM146+1.p',unknown),
[] ).
cnf(131,plain,
equal(vsomeExp(skc5),vnoExp),
inference(rew,[status(thm),theory(equality)],[21,22]),
[iquote('0:Rew:21.0,22.0')] ).
cnf(132,plain,
$false,
inference(mrr,[status(thm)],[131,19]),
[iquote('0:MRR:131.0,19.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COM146+1 : TPTP v8.1.0. Released v6.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.13/0.31 % Computer : n006.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Thu Jun 16 18:43:26 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.54/0.73
% 0.54/0.73 SPASS V 3.9
% 0.54/0.73 SPASS beiseite: Proof found.
% 0.54/0.73 % SZS status Theorem
% 0.54/0.73 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.73 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 19 clauses.
% 0.54/0.73 SPASS allocated 100221 KBytes.
% 0.54/0.73 SPASS spent 0:00:00.40 on the problem.
% 0.54/0.73 0:00:00.04 for the input.
% 0.54/0.73 0:00:00.32 for the FLOTTER CNF translation.
% 0.54/0.73 0:00:00.00 for inferences.
% 0.54/0.73 0:00:00.00 for the backtracking.
% 0.54/0.73 0:00:00.00 for the reduction.
% 0.54/0.73
% 0.54/0.73
% 0.54/0.73 Here is a proof with depth 0, length 5 :
% 0.54/0.73 % SZS output start Refutation
% See solution above
% 0.54/0.73 Formulae used in the proof : DIFF_a45_noExp_a45_someExp reduce0 T_a45_Preservation_a45_T_a45_var
% 0.54/0.73
%------------------------------------------------------------------------------