TSTP Solution File: COM144+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 01:44:45 EDT 2022
% Result : Theorem 0.54s 0.70s
% 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 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
~ equal(vsomeExp(u),vnoExp),
file('COM144+1.p',unknown),
[] ).
cnf(27,axiom,
equal(vreduce(vabs(u,v,w)),vnoExp),
file('COM144+1.p',unknown),
[] ).
cnf(33,axiom,
equal(vreduce(vabs(skc9,skc8,ve1)),vsomeExp(skc6)),
file('COM144+1.p',unknown),
[] ).
cnf(132,plain,
equal(vsomeExp(skc6),vnoExp),
inference(rew,[status(thm),theory(equality)],[27,33]),
[iquote('0:Rew:27.0,33.0')] ).
cnf(133,plain,
$false,
inference(mrr,[status(thm)],[132,18]),
[iquote('0:MRR:132.0,18.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COM144+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 16 19:16:01 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.54/0.70
% 0.54/0.70 SPASS V 3.9
% 0.54/0.70 SPASS beiseite: Proof found.
% 0.54/0.70 % SZS status Theorem
% 0.54/0.70 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.70 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 38 clauses.
% 0.54/0.70 SPASS allocated 100232 KBytes.
% 0.54/0.70 SPASS spent 0:00:00.36 on the problem.
% 0.54/0.70 0:00:00.04 for the input.
% 0.54/0.70 0:00:00.29 for the FLOTTER CNF translation.
% 0.54/0.70 0:00:00.00 for inferences.
% 0.54/0.70 0:00:00.00 for the backtracking.
% 0.54/0.70 0:00:00.00 for the reduction.
% 0.54/0.70
% 0.54/0.70
% 0.54/0.70 Here is a proof with depth 0, length 5 :
% 0.54/0.70 % SZS output start Refutation
% See solution above
% 0.54/0.70 Formulae used in the proof : DIFF_a45_noExp_a45_someExp reduce1 T_a45_Preservation_a45_T_a45_abs
% 0.54/0.70
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