%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL115-1 : TPTP v8.1.0. Released v3.2.0.
% 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 00:42:41 EDT 2022
% Result : Unsatisfiable 0.46s 0.65s
% Output : Refutation 0.46s
% 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),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_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL115-1.p',unknown),
[] ).
cnf(19,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('COL115-1.p',unknown),
[] ).
cnf(21,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,u),v),w),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(u,w),c_Comb_Ocomb_Oop_A_D_D(v,w)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL115-1.p',unknown),
[] ).
cnf(1408,plain,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OS,v_x),v_ya),v_z),c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_z)),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(res,[status(thm),theory(equality)],[19,1]),
[iquote('0:Res:19.0,1.1')] ).
cnf(1409,plain,
$false,
inference(mrr,[status(thm)],[1408,21]),
[iquote('0:MRR:1408.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL115-1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 05:34:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.46/0.65
% 0.46/0.65 SPASS V 3.9
% 0.46/0.65 SPASS beiseite: Proof found.
% 0.46/0.65 % SZS status Theorem
% 0.46/0.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 1368 clauses.
% 0.46/0.65 SPASS allocated 77877 KBytes.
% 0.46/0.65 SPASS spent 0:00:00.29 on the problem.
% 0.46/0.65 0:00:00.09 for the input.
% 0.46/0.65 0:00:00.00 for the FLOTTER CNF translation.
% 0.46/0.65 0:00:00.00 for inferences.
% 0.46/0.65 0:00:00.00 for the backtracking.
% 0.46/0.65 0:00:00.09 for the reduction.
% 0.46/0.65
% 0.46/0.65
% 0.46/0.65 Here is a proof with depth 1, length 5 :
% 0.46/0.65 % SZS output start Refutation
% See solution above
% 0.46/0.65 Formulae used in the proof : cls_conjecture_0 cls_Comb_Oparcontract_Ointros__1_0 cls_Comb_Oparcontract_Ointros__3_0
% 0.46/0.65
%------------------------------------------------------------------------------