TSTP Solution File: SCT042-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 22:13:10 EDT 2022
% Result : Unsatisfiable 0.38s 0.56s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(607,axiom,
( equal(u,v)
| c_List_Odistinct(c_List_Olist_OCons(u,c_List_Olist_OCons(v,c_List_Olist_OCons(v_sko__CHAINED__1(u,v),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
file('SCT042-1.p',unknown),
[] ).
cnf(608,axiom,
~ equal(v_b____,v_a____),
file('SCT042-1.p',unknown),
[] ).
cnf(665,axiom,
~ v_thesis____,
file('SCT042-1.p',unknown),
[] ).
cnf(666,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(u,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
| v_thesis____ ),
file('SCT042-1.p',unknown),
[] ).
cnf(680,plain,
~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(u,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),
inference(mrr,[status(thm)],[666,665]),
[iquote('0:MRR:666.1,665.0')] ).
cnf(728,plain,
equal(v_b____,v_a____),
inference(res,[status(thm),theory(equality)],[607,680]),
[iquote('0:Res:607.0,680.0')] ).
cnf(730,plain,
$false,
inference(mrr,[status(thm)],[728,608]),
[iquote('0:MRR:728.0,608.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SCT042-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 1 22:15:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.38/0.56
% 0.38/0.56 SPASS V 3.9
% 0.38/0.56 SPASS beiseite: Proof found.
% 0.38/0.56 % SZS status Theorem
% 0.38/0.56 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.56 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 541 clauses.
% 0.38/0.56 SPASS allocated 76686 KBytes.
% 0.38/0.56 SPASS spent 0:00:00.19 on the problem.
% 0.38/0.56 0:00:00.06 for the input.
% 0.38/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.56 0:00:00.00 for inferences.
% 0.38/0.56 0:00:00.00 for the backtracking.
% 0.38/0.56 0:00:00.08 for the reduction.
% 0.38/0.56
% 0.38/0.56
% 0.38/0.56 Here is a proof with depth 1, length 7 :
% 0.38/0.56 % SZS output start Refutation
% See solution above
% 0.38/0.56 Formulae used in the proof : cls_CHAINED_0 cls_CHAINED_0_01 cls_conjecture_0 cls_conjecture_1
% 0.38/0.56
%------------------------------------------------------------------------------