TSTP Solution File: SYN918+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 : Thu Jul 21 12:32:04 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 28 ( 12 unt; 3 nHn; 28 RR)
% Number of literals : 48 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
f(skc1),
file('SYN918+1.p',unknown),
[] ).
cnf(2,axiom,
( skP0(u)
| f(u) ),
file('SYN918+1.p',unknown),
[] ).
cnf(3,axiom,
( skP0(u)
| g(u) ),
file('SYN918+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ h(u)
| skP0(u) ),
file('SYN918+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ skP0(u)
| ~ g(skc1) ),
file('SYN918+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ h(u)
| ~ f(u)
| g(u) ),
file('SYN918+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ g(u)
| ~ f(u)
| h(u) ),
file('SYN918+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ f(u)
| ~ f(v)
| h(u)
| g(v) ),
file('SYN918+1.p',unknown),
[] ).
cnf(19,plain,
( ~ f(u)
| g(u) ),
inference(spt,[spt(split,[position(s1)])],[8]),
[iquote('1:Spt:8.1,8.3')] ).
cnf(20,plain,
( ~ f(u)
| h(u) ),
inference(mrr,[status(thm)],[7,19]),
[iquote('1:MRR:7.0,19.1')] ).
cnf(21,plain,
( ~ g(skc1)
| g(u) ),
inference(ems,[status(thm)],[5,3]),
[iquote('0:EmS:5.0,3.0')] ).
cnf(22,plain,
( ~ g(skc1)
| f(u) ),
inference(ems,[status(thm)],[5,2]),
[iquote('0:EmS:5.0,2.0')] ).
cnf(23,plain,
( ~ h(u)
| ~ g(skc1) ),
inference(ems,[status(thm)],[5,4]),
[iquote('0:EmS:5.0,4.1')] ).
cnf(24,plain,
( ~ f(skc1)
| g(u) ),
inference(res,[status(thm),theory(equality)],[19,21]),
[iquote('1:Res:19.1,21.0')] ).
cnf(25,plain,
g(u),
inference(ssi,[status(thm)],[24,1]),
[iquote('1:SSi:24.0,1.0')] ).
cnf(27,plain,
f(u),
inference(mrr,[status(thm)],[22,25]),
[iquote('1:MRR:22.0,25.0')] ).
cnf(28,plain,
~ h(u),
inference(mrr,[status(thm)],[23,25]),
[iquote('1:MRR:23.1,25.0')] ).
cnf(29,plain,
h(u),
inference(mrr,[status(thm)],[20,27]),
[iquote('1:MRR:20.0,27.0')] ).
cnf(32,plain,
$false,
inference(mrr,[status(thm)],[28,29]),
[iquote('1:MRR:28.0,29.0')] ).
cnf(33,plain,
( ~ f(u)
| h(u) ),
inference(spt,[spt(split,[position(s2)])],[8]),
[iquote('1:Spt:32.0,8.0,8.2')] ).
cnf(34,plain,
( ~ f(u)
| g(u) ),
inference(mrr,[status(thm)],[6,33]),
[iquote('1:MRR:6.0,33.1')] ).
cnf(35,plain,
( ~ f(skc1)
| f(u) ),
inference(res,[status(thm),theory(equality)],[34,22]),
[iquote('1:Res:34.1,22.0')] ).
cnf(37,plain,
f(u),
inference(ssi,[status(thm)],[35,1]),
[iquote('1:SSi:35.0,1.0')] ).
cnf(38,plain,
h(u),
inference(mrr,[status(thm)],[33,37]),
[iquote('1:MRR:33.0,37.0')] ).
cnf(39,plain,
g(u),
inference(mrr,[status(thm)],[34,37]),
[iquote('1:MRR:34.0,37.0')] ).
cnf(40,plain,
skP0(u),
inference(mrr,[status(thm)],[4,38]),
[iquote('1:MRR:4.0,38.0')] ).
cnf(42,plain,
~ skP0(u),
inference(mrr,[status(thm)],[5,39]),
[iquote('1:MRR:5.1,39.0')] ).
cnf(44,plain,
$false,
inference(mrr,[status(thm)],[42,40]),
[iquote('1:MRR:42.0,40.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN918+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:28:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 18 clauses, backtracked 11 clauses, performed 1 splits and kept 35 clauses.
% 0.19/0.43 SPASS allocated 97565 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 28 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : prove_this
% 0.19/0.43
%------------------------------------------------------------------------------