TSTP Solution File: CSR031+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR031+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 23:24:22 EDT 2022
% Result : Theorem 84.84s 85.03s
% Output : Refutation 84.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 8 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(182,axiom,
individual(c_tptptptpcol_16_8398),
file('CSR031+3.p',unknown),
[] ).
cnf(313,axiom,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('CSR031+3.p',unknown),
[] ).
cnf(3964,axiom,
( ~ individual(u)
| ~ collection(u) ),
file('CSR031+3.p',unknown),
[] ).
cnf(6286,axiom,
( ~ disjointwith(u,v)
| collection(u) ),
file('CSR031+3.p',unknown),
[] ).
cnf(8012,plain,
collection(c_tptptptpcol_16_8398),
inference(res,[status(thm),theory(equality)],[313,6286]),
[iquote('0:Res:313.0,6286.0')] ).
cnf(17361,plain,
$false,
inference(ems,[status(thm)],[3964,182,8012]),
[iquote('0:EmS:3964.0,3964.1,182.0,8012.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR031+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.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 : Fri Jun 10 03:37:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 84.84/85.03
% 84.84/85.03 SPASS V 3.9
% 84.84/85.03 SPASS beiseite: Proof found.
% 84.84/85.03 % SZS status Theorem
% 84.84/85.03 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 84.84/85.03 SPASS derived 6283 clauses, backtracked 0 clauses, performed 0 splits and kept 13468 clauses.
% 84.84/85.03 SPASS allocated 113481 KBytes.
% 84.84/85.03 SPASS spent 0:1:22.02 on the problem.
% 84.84/85.03 0:00:00.07 for the input.
% 84.84/85.03 0:00:06.88 for the FLOTTER CNF translation.
% 84.84/85.03 0:00:00.29 for inferences.
% 84.84/85.03 0:00:00.00 for the backtracking.
% 84.84/85.03 0:0:58.38 for the reduction.
% 84.84/85.03
% 84.84/85.03
% 84.84/85.03 Here is a proof with depth 2, length 6 :
% 84.84/85.03 % SZS output start Refutation
% See solution above
% 84.84/85.03 Formulae used in the proof : ax2_2816 query131 ax2_3226 ax2_7583
% 84.84/85.03
%------------------------------------------------------------------------------