TSTP Solution File: SCT076-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT076-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 : Mon Jul 18 22:13:21 EDT 2022
% Result : Unsatisfiable 0.55s 0.74s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 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(588,axiom,
( ~ c_in(u,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(c_Pair(v,w,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),u,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(w,v,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),u,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('SCT076-1.p',unknown),
[] ).
cnf(687,axiom,
c_in(v_Lba____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('SCT076-1.p',unknown),
[] ).
cnf(688,axiom,
c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('SCT076-1.p',unknown),
[] ).
cnf(709,axiom,
c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
file('SCT076-1.p',unknown),
[] ).
cnf(872,plain,
( ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lba____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_Lba____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(res,[status(thm),theory(equality)],[709,588]),
[iquote('0:Res:709.0,588.1')] ).
cnf(893,plain,
$false,
inference(mrr,[status(thm)],[872,688,687]),
[iquote('0:MRR:872.0,872.1,688.0,687.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT076-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 : Sat Jul 2 06:13:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.74
% 0.55/0.74 SPASS V 3.9
% 0.55/0.74 SPASS beiseite: Proof found.
% 0.55/0.74 % SZS status Theorem
% 0.55/0.74 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74 SPASS derived 82 clauses, backtracked 0 clauses, performed 0 splits and kept 631 clauses.
% 0.55/0.74 SPASS allocated 77215 KBytes.
% 0.55/0.74 SPASS spent 0:00:00.38 on the problem.
% 0.55/0.74 0:00:00.06 for the input.
% 0.55/0.74 0:00:00.00 for the FLOTTER CNF translation.
% 0.55/0.74 0:00:00.00 for inferences.
% 0.55/0.74 0:00:00.00 for the backtracking.
% 0.55/0.74 0:00:00.18 for the reduction.
% 0.55/0.74
% 0.55/0.74
% 0.55/0.74 Here is a proof with depth 1, length 6 :
% 0.55/0.74 % SZS output start Refutation
% See solution above
% 0.55/0.74 Formulae used in the proof : cls_Lin__irrefl_0 cls_CHAINED_0 cls_CHAINED_0_01 cls_conjecture_0
% 0.55/0.74
%------------------------------------------------------------------------------