TSTP Solution File: CSR031+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR031+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 0.71s 0.90s
% Output : Refutation 0.71s
% 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(16,axiom,
individual(c_tptptptpcol_16_8398),
file('CSR031+2.p',unknown),
[] ).
cnf(22,axiom,
disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
file('CSR031+2.p',unknown),
[] ).
cnf(474,axiom,
( ~ individual(u)
| ~ collection(u) ),
file('CSR031+2.p',unknown),
[] ).
cnf(992,axiom,
( ~ disjointwith(u,v)
| collection(u) ),
file('CSR031+2.p',unknown),
[] ).
cnf(1138,plain,
collection(c_tptptptpcol_16_8398),
inference(res,[status(thm),theory(equality)],[22,992]),
[iquote('0:Res:22.0,992.0')] ).
cnf(1656,plain,
$false,
inference(ems,[status(thm)],[474,16,1138]),
[iquote('0:EmS:474.0,474.1,16.0,1138.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR031+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n023.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
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 10 00:56:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.71/0.90
% 0.71/0.90 SPASS V 3.9
% 0.71/0.90 SPASS beiseite: Proof found.
% 0.71/0.90 % SZS status Theorem
% 0.71/0.90 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.90 SPASS derived 30 clauses, backtracked 0 clauses, performed 0 splits and kept 1121 clauses.
% 0.71/0.90 SPASS allocated 99825 KBytes.
% 0.71/0.90 SPASS spent 0:00:00.54 on the problem.
% 0.71/0.90 0:00:00.05 for the input.
% 0.71/0.90 0:00:00.19 for the FLOTTER CNF translation.
% 0.71/0.90 0:00:00.00 for inferences.
% 0.71/0.90 0:00:00.00 for the backtracking.
% 0.71/0.90 0:00:00.15 for the reduction.
% 0.71/0.90
% 0.71/0.90
% 0.71/0.90 Here is a proof with depth 2, length 6 :
% 0.71/0.90 % SZS output start Refutation
% See solution above
% 0.71/0.90 Formulae used in the proof : ax1_447 query81 ax1_289 ax1_1119
% 0.71/0.90
%------------------------------------------------------------------------------