TSTP Solution File: COL101-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL101-1 : TPTP v8.1.0. Released v3.2.0.
% 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 00:42:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.59s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 2
% Syntax : Number of clauses : 3 ( 3 unt; 0 nHn; 3 RR)
% Number of literals : 3 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL101-1.p',unknown),
[] ).
cnf(345,axiom,
c_in(c_Pair(u,u,v,v),c_Transitive__Closure_Ortrancl(w,v),tc_prod(v,v)),
file('COL101-1.p',unknown),
[] ).
cnf(1386,plain,
$false,
inference(mrr,[status(thm)],[2,345]),
[iquote('0:MRR:2.0,345.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL101-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue May 31 06:00:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.59
% 0.20/0.59 SPASS V 3.9
% 0.20/0.59 SPASS beiseite: Proof found.
% 0.20/0.59 % SZS status Theorem
% 0.20/0.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.59 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 1255 clauses.
% 0.20/0.59 SPASS allocated 77828 KBytes.
% 0.20/0.59 SPASS spent 0:00:00.23 on the problem.
% 0.20/0.59 0:00:00.09 for the input.
% 0.20/0.59 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.59 0:00:00.00 for inferences.
% 0.20/0.59 0:00:00.00 for the backtracking.
% 0.20/0.59 0:00:00.06 for the reduction.
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 Here is a proof with depth 0, length 3 :
% 0.20/0.59 % SZS output start Refutation
% See solution above
% 0.20/0.59 Formulae used in the proof : cls_conjecture_0 cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0
% 0.20/0.59
%------------------------------------------------------------------------------