TSTP Solution File: COL103-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 00:42:39 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Refutation 0.13s
% 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(1,axiom,
c_in(c_Pair(u,u,v,v),c_Transitive__Closure_Ortrancl(w,v),tc_prod(v,v)),
file('COL103-2.p',unknown),
[] ).
cnf(2,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),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('COL103-2.p',unknown),
[] ).
cnf(3,plain,
$false,
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : COL103-2 : TPTP v8.1.0. Released v3.2.0.
% 0.05/0.10 % Command : run_spass %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue May 31 08:20:28 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.35
% 0.13/0.35 SPASS V 3.9
% 0.13/0.35 SPASS beiseite: Proof found.
% 0.13/0.35 % SZS status Theorem
% 0.13/0.35 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 2 clauses.
% 0.13/0.35 SPASS allocated 63078 KBytes.
% 0.13/0.35 SPASS spent 0:00:00.05 on the problem.
% 0.13/0.35 0:00:00.03 for the input.
% 0.13/0.35 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.35 0:00:00.00 for inferences.
% 0.13/0.35 0:00:00.00 for the backtracking.
% 0.13/0.35 0:00:00.00 for the reduction.
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 Here is a proof with depth 0, length 3 :
% 0.13/0.35 % SZS output start Refutation
% See solution above
% 0.13/0.35 Formulae used in the proof : cls_Transitive__Closure_Ortrancl_Ortrancl__refl_0 cls_conjecture_0
% 0.13/0.35
%------------------------------------------------------------------------------