%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL112-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 00:42:40 EDT 2022
% Result : Unsatisfiable 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 6 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
c_in(c_Pair(u,u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL112-2.p',unknown),
[] ).
cnf(2,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,u),v),u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL112-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Pair(v_x,u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,v_x),v_ya),u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL112-2.p',unknown),
[] ).
cnf(5,plain,
~ c_in(c_Pair(v_x,v_x,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(res,[status(thm),theory(equality)],[2,3]),
[iquote('0:Res:2.0,3.0')] ).
cnf(7,plain,
$false,
inference(mrr,[status(thm)],[5,1]),
[iquote('0:MRR:5.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL112-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue May 31 08:18:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.39
% 0.18/0.39 SPASS V 3.9
% 0.18/0.39 SPASS beiseite: Proof found.
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.39 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses.
% 0.18/0.39 SPASS allocated 63085 KBytes.
% 0.18/0.39 SPASS spent 0:00:00.05 on the problem.
% 0.18/0.39 0:00:00.03 for the input.
% 0.18/0.39 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.39 0:00:00.00 for inferences.
% 0.18/0.39 0:00:00.00 for the backtracking.
% 0.18/0.39 0:00:00.00 for the reduction.
% 0.18/0.39
% 0.18/0.39
% 0.18/0.39 Here is a proof with depth 1, length 5 :
% 0.18/0.39 % SZS output start Refutation
% See solution above
% 0.18/0.39 Formulae used in the proof : cls_Comb_Oparcontract_Ointros__1_0 cls_Comb_Oparcontract_Ointros__2_0 cls_conjecture_0
% 0.18/0.39
%------------------------------------------------------------------------------