TSTP Solution File: COL124-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : COL124-1 : 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 00:42:44 EDT 2022
% Result : Unsatisfiable 0.12s 0.50s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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(6,axiom,
( ~ c_in(c_Pair(u,v,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(u,w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(v,v_x(u,v,w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('COL124-1.p',unknown),
[] ).
cnf(16,axiom,
~ c_in(c_Pair(c_Comb_OI,u,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL124-1.p',unknown),
[] ).
cnf(31,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_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('COL124-1.p',unknown),
[] ).
cnf(1408,plain,
( ~ c_in(c_Pair(u,v,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(u,c_Comb_OI,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(res,[status(thm),theory(equality)],[6,16]),
[iquote('0:Res:6.2,16.0')] ).
cnf(1409,plain,
~ c_in(c_Pair(u,c_Comb_OI,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(con,[status(thm)],[1408]),
[iquote('0:Con:1408.0')] ).
cnf(1410,plain,
$false,
inference(unc,[status(thm)],[1409,31]),
[iquote('0:UnC:1409.0,31.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : COL124-1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Tue May 31 04:49:13 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.50
% 0.12/0.50 SPASS V 3.9
% 0.12/0.50 SPASS beiseite: Proof found.
% 0.12/0.50 % SZS status Theorem
% 0.12/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.50 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 1351 clauses.
% 0.12/0.50 SPASS allocated 77840 KBytes.
% 0.12/0.50 SPASS spent 0:00:00.20 on the problem.
% 0.12/0.50 0:00:00.05 for the input.
% 0.12/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.50 0:00:00.00 for inferences.
% 0.12/0.50 0:00:00.00 for the backtracking.
% 0.12/0.50 0:00:00.07 for the reduction.
% 0.12/0.50
% 0.12/0.50
% 0.12/0.50 Here is a proof with depth 1, length 6 :
% 0.12/0.50 % SZS output start Refutation
% See solution above
% 0.12/0.50 Formulae used in the proof : cls_conjecture_0 cls_Comb_OI__contract__E_0 cls_Comb_Ocontract_OK_0
% 0.12/0.50
%------------------------------------------------------------------------------