TSTP Solution File: KRS262+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS262+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Sun Jul 17 03:31:00 EDT 2022
% Result : Theorem 1.92s 2.10s
% Output : Refutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 7 unt; 2 nHn; 22 RR)
% Number of literals : 40 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS262+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(tau,thm),
file('KRS262+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ status__dfg(u,v,tau)
| model(w,v) ),
file('KRS262+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS262+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ status__dfg(u,v,wec)
| model(skf68(u,v),v) ),
file('KRS262+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ model(skf68(u,v),u)
| ~ status__dfg(u,w,wec) ),
file('KRS262+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ status__dfg(u,v,w)
| nota(w,x)
| status__dfg(u,v,x) ),
file('KRS262+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ nota(u,v)
| status__dfg(skf99(v,u),skf98(v,u),u) ),
file('KRS262+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS262+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ model(skf73(u),u)
| ~ model(skf72(v),v)
| status__dfg(v,u,tau) ),
file('KRS262+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,tau) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
cnf(375,plain,
( ~ status__dfg(u,u,wec)
| ~ status__dfg(u,v,wec) ),
inference(res,[status(thm),theory(equality)],[51,61]),
[iquote('0:Res:51.1,61.0')] ).
cnf(376,plain,
~ status__dfg(u,u,wec),
inference(con,[status(thm)],[375]),
[iquote('0:Con:375.1')] ).
cnf(1083,plain,
( ~ nota(tau,u)
| ~ status__dfg(skf99(u,tau),skf98(u,tau),thm) ),
inference(res,[status(thm),theory(equality)],[83,112]),
[iquote('0:Res:83.1,112.1')] ).
cnf(1085,plain,
( ~ nota(tau,u)
| model(v,skf98(u,tau)) ),
inference(res,[status(thm),theory(equality)],[83,26]),
[iquote('0:Res:83.1,26.0')] ).
cnf(2468,plain,
( ~ model(skf72(u),u)
| status__dfg(u,skc57,tau) ),
inference(res,[status(thm),theory(equality)],[1,95]),
[iquote('0:Res:1.0,95.0')] ).
cnf(8433,plain,
( ~ nota(tau,u)
| status__dfg(v,skf98(u,tau),thm) ),
inference(res,[status(thm),theory(equality)],[1085,50]),
[iquote('0:Res:1085.1,50.0')] ).
cnf(8446,plain,
~ nota(tau,u),
inference(mrr,[status(thm)],[1083,8433]),
[iquote('0:MRR:1083.1,8433.1')] ).
cnf(9062,plain,
status__dfg(skc57,skc57,tau),
inference(res,[status(thm),theory(equality)],[1,2468]),
[iquote('0:Res:1.0,2468.0')] ).
cnf(9095,plain,
( nota(tau,u)
| status__dfg(skc57,skc57,u) ),
inference(res,[status(thm),theory(equality)],[9062,82]),
[iquote('0:Res:9062.0,82.0')] ).
cnf(9100,plain,
status__dfg(skc57,skc57,u),
inference(mrr,[status(thm)],[9095,8446]),
[iquote('0:MRR:9095.0,8446.0')] ).
cnf(9101,plain,
$false,
inference(unc,[status(thm)],[9100,376]),
[iquote('0:UnC:9100.0,376.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KRS262+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 600
% 0.09/0.27 % DateTime : Tue Jun 7 09:16:05 EDT 2022
% 0.09/0.27 % CPUTime :
% 1.92/2.10
% 1.92/2.10 SPASS V 3.9
% 1.92/2.10 SPASS beiseite: Proof found.
% 1.92/2.10 % SZS status Theorem
% 1.92/2.10 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.92/2.10 SPASS derived 8830 clauses, backtracked 29 clauses, performed 29 splits and kept 4391 clauses.
% 1.92/2.10 SPASS allocated 90500 KBytes.
% 1.92/2.10 SPASS spent 0:00:01.77 on the problem.
% 1.92/2.10 0:00:00.03 for the input.
% 1.92/2.10 0:00:00.17 for the FLOTTER CNF translation.
% 1.92/2.10 0:00:00.05 for inferences.
% 1.92/2.10 0:00:00.02 for the backtracking.
% 1.92/2.10 0:00:01.43 for the reduction.
% 1.92/2.10
% 1.92/2.10
% 1.92/2.10 Here is a proof with depth 3, length 22 :
% 1.92/2.10 % SZS output start Refutation
% See solution above
% 1.92/2.10 Formulae used in the proof : tautology mighta_tau_thm tau thm wec nota mighta
% 1.92/2.10
%------------------------------------------------------------------------------