TSTP Solution File: KRS267+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Sun Jul 17 03:31:01 EDT 2022
% Result : Theorem 1.61s 1.77s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS267+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(tca,thm),
file('KRS267+1.p',unknown),
[] ).
cnf(11,axiom,
~ model(u,skc61),
file('KRS267+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS267+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ model(skf84(u),u)
| model(skf85(v),v)
| status__dfg(v,u,tca) ),
file('KRS267+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS267+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,tca) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
cnf(334,plain,
status__dfg(u,skc57,thm),
inference(res,[status(thm),theory(equality)],[1,50]),
[iquote('0:Res:1.0,50.0')] ).
cnf(1579,plain,
( model(skf85(u),u)
| status__dfg(u,skc57,tca) ),
inference(res,[status(thm),theory(equality)],[1,90]),
[iquote('0:Res:1.0,90.0')] ).
cnf(5863,plain,
( ~ status__dfg(u,skc57,thm)
| model(skf85(u),u) ),
inference(res,[status(thm),theory(equality)],[1579,112]),
[iquote('0:Res:1579.1,112.1')] ).
cnf(5871,plain,
model(skf85(u),u),
inference(mrr,[status(thm)],[5863,334]),
[iquote('0:MRR:5863.0,334.0')] ).
cnf(5872,plain,
$false,
inference(unc,[status(thm)],[5871,11]),
[iquote('0:UnC:5871.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 08:57:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.61/1.77
% 1.61/1.77 SPASS V 3.9
% 1.61/1.77 SPASS beiseite: Proof found.
% 1.61/1.77 % SZS status Theorem
% 1.61/1.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.61/1.77 SPASS derived 5651 clauses, backtracked 52 clauses, performed 39 splits and kept 3241 clauses.
% 1.61/1.77 SPASS allocated 88904 KBytes.
% 1.61/1.77 SPASS spent 0:00:01.39 on the problem.
% 1.61/1.77 0:00:00.04 for the input.
% 1.61/1.77 0:00:00.26 for the FLOTTER CNF translation.
% 1.61/1.77 0:00:00.04 for inferences.
% 1.61/1.77 0:00:00.01 for the backtracking.
% 1.61/1.77 0:00:00.99 for the reduction.
% 1.61/1.77
% 1.61/1.77
% 1.61/1.77 Here is a proof with depth 2, length 12 :
% 1.61/1.77 % SZS output start Refutation
% See solution above
% 1.61/1.77 Formulae used in the proof : tautology mighta_tca_thm contradiction thm tca mighta
% 1.61/1.77
%------------------------------------------------------------------------------