TSTP Solution File: NLP143+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Mon Jul 18 05:27:24 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of clauses : 35 ( 12 unt; 0 nHn; 35 RR)
% Number of literals : 58 ( 0 equ; 35 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
two(skc6,skc7),
file('NLP143+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ furniture(u,v)
| instrumentality(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ seat(u,v)
| furniture(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ frontseat(u,v)
| seat(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ object(u,v)
| nonliving(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ artifact(u,v)
| object(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ instrumentality(u,v)
| artifact(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ human_person(u,v)
| animate(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ man(u,v)
| human_person(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ fellow(u,v)
| man(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ member(skc6,u,skc7)
| fellow(skc6,u) ),
file('NLP143+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ nonliving(u,v)
| ~ animate(u,v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ member(skc6,u,skc7)
| frontseat(skc6,skf5(v)) ),
file('NLP143+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ be(u,v,w,x)
| equal(w,x) ),
file('NLP143+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ two(u,v)
| member(u,skf8(v,u),v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ two(u,v)
| member(u,skf10(v,u),v) ),
file('NLP143+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ member(skc6,u,skc7)
| be(skc6,skf6(u),u,skf5(u)) ),
file('NLP143+1.p',unknown),
[] ).
cnf(99,plain,
member(skc6,skf8(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[6,83]),
[iquote('0:Res:6.0,83.0')] ).
cnf(100,plain,
member(skc6,skf10(skc7,skc6),skc7),
inference(res,[status(thm),theory(equality)],[6,84]),
[iquote('0:Res:6.0,84.0')] ).
cnf(118,plain,
fellow(skc6,skf10(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[100,70]),
[iquote('0:Res:100.0,70.0')] ).
cnf(124,plain,
frontseat(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[99,81]),
[iquote('0:Res:99.0,81.0')] ).
cnf(137,plain,
( ~ object(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[38,72]),
[iquote('0:Res:38.1,72.0')] ).
cnf(153,plain,
( ~ artifact(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[40,137]),
[iquote('0:Res:40.1,137.0')] ).
cnf(170,plain,
( ~ member(skc6,u,skc7)
| equal(skf5(u),u) ),
inference(res,[status(thm),theory(equality)],[86,82]),
[iquote('0:Res:86.1,82.0')] ).
cnf(197,plain,
( ~ instrumentality(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[41,153]),
[iquote('0:Res:41.1,153.0')] ).
cnf(226,plain,
equal(skf5(skf10(skc7,skc6)),skf10(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[100,170]),
[iquote('0:Res:100.0,170.0')] ).
cnf(278,plain,
( ~ furniture(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[21,197]),
[iquote('0:Res:21.1,197.0')] ).
cnf(341,plain,
( ~ seat(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[22,278]),
[iquote('0:Res:22.1,278.0')] ).
cnf(378,plain,
( ~ frontseat(u,v)
| ~ animate(u,v) ),
inference(res,[status(thm),theory(equality)],[23,341]),
[iquote('0:Res:23.1,341.0')] ).
cnf(407,plain,
~ animate(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[124,378]),
[iquote('0:Res:124.0,378.0')] ).
cnf(412,plain,
~ human_person(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[58,407]),
[iquote('0:Res:58.1,407.0')] ).
cnf(415,plain,
~ man(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[68,412]),
[iquote('0:Res:68.1,412.0')] ).
cnf(418,plain,
~ fellow(skc6,skf5(u)),
inference(res,[status(thm),theory(equality)],[69,415]),
[iquote('0:Res:69.1,415.0')] ).
cnf(421,plain,
~ fellow(skc6,skf10(skc7,skc6)),
inference(spl,[status(thm),theory(equality)],[226,418]),
[iquote('0:SpL:226.0,418.0')] ).
cnf(423,plain,
$false,
inference(mrr,[status(thm)],[421,118]),
[iquote('0:MRR:421.0,118.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP143+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 600
% 0.18/0.34 % DateTime : Thu Jun 30 21:58:08 EDT 2022
% 0.18/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 327 clauses, backtracked 0 clauses, performed 0 splits and kept 336 clauses.
% 0.19/0.50 SPASS allocated 85480 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.05 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.02 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 11, length 35 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : co1 ax1 ax2 ax3 ax18 ax20 ax21 ax38 ax48 ax49 ax50 ax59 ax60
% 0.19/0.50
%------------------------------------------------------------------------------