TSTP Solution File: SEU189+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU189+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Tue Jul 19 14:34:50 EDT 2022
% Result : Theorem 1.16s 1.35s
% Output : Refutation 1.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 25 ( 13 unt; 1 nHn; 25 RR)
% Number of literals : 39 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc5),
file('SEU189+2.p',unknown),
[] ).
cnf(20,axiom,
equal(relation_dom(empty_set),empty_set),
file('SEU189+2.p',unknown),
[] ).
cnf(21,axiom,
equal(relation_rng(empty_set),empty_set),
file('SEU189+2.p',unknown),
[] ).
cnf(68,axiom,
( equal(relation_rng(skc5),empty_set)
| equal(relation_dom(skc5),empty_set) ),
file('SEU189+2.p',unknown),
[] ).
cnf(123,axiom,
( ~ equal(relation_dom(skc5),empty_set)
| ~ equal(relation_rng(skc5),empty_set) ),
file('SEU189+2.p',unknown),
[] ).
cnf(156,axiom,
( ~ relation(u)
| ~ equal(relation_dom(u),empty_set)
| equal(u,empty_set) ),
file('SEU189+2.p',unknown),
[] ).
cnf(157,axiom,
( ~ relation(u)
| ~ equal(relation_rng(u),empty_set)
| equal(u,empty_set) ),
file('SEU189+2.p',unknown),
[] ).
cnf(324,plain,
( ~ equal(relation_dom(skc5),empty_set)
| equal(empty_set,skc5) ),
inference(res,[status(thm),theory(equality)],[1,156]),
[iquote('0:Res:1.0,156.0')] ).
cnf(325,plain,
( ~ equal(relation_rng(skc5),empty_set)
| equal(empty_set,skc5) ),
inference(res,[status(thm),theory(equality)],[1,157]),
[iquote('0:Res:1.0,157.0')] ).
cnf(358,plain,
( ~ equal(relation_rng(skc5),skc5)
| ~ equal(relation_dom(skc5),empty_set) ),
inference(rew,[status(thm),theory(equality)],[324,123]),
[iquote('0:Rew:324.1,123.1')] ).
cnf(421,plain,
equal(relation_rng(skc5),empty_set),
inference(spt,[spt(split,[position(s1)])],[68]),
[iquote('1:Spt:68.0')] ).
cnf(422,plain,
( ~ equal(empty_set,empty_set)
| equal(empty_set,skc5) ),
inference(rew,[status(thm),theory(equality)],[421,325]),
[iquote('1:Rew:421.0,325.0')] ).
cnf(430,plain,
( ~ equal(empty_set,skc5)
| ~ equal(relation_dom(skc5),empty_set) ),
inference(rew,[status(thm),theory(equality)],[421,358]),
[iquote('1:Rew:421.0,358.0')] ).
cnf(443,plain,
equal(empty_set,skc5),
inference(obv,[status(thm),theory(equality)],[422]),
[iquote('1:Obv:422.0')] ).
cnf(468,plain,
equal(relation_dom(skc5),skc5),
inference(rew,[status(thm),theory(equality)],[443,20]),
[iquote('1:Rew:443.0,20.0')] ).
cnf(494,plain,
( ~ equal(skc5,skc5)
| ~ equal(skc5,skc5) ),
inference(rew,[status(thm),theory(equality)],[468,430,443]),
[iquote('1:Rew:468.0,430.1,443.0,430.1,443.0,430.0')] ).
cnf(495,plain,
$false,
inference(obv,[status(thm),theory(equality)],[494]),
[iquote('1:Obv:494.1')] ).
cnf(529,plain,
~ equal(relation_rng(skc5),empty_set),
inference(spt,[spt(split,[position(sa)])],[495,421]),
[iquote('1:Spt:495.0,68.0,421.0')] ).
cnf(530,plain,
equal(relation_dom(skc5),empty_set),
inference(spt,[spt(split,[position(s2)])],[68]),
[iquote('1:Spt:495.0,68.1')] ).
cnf(535,plain,
( ~ equal(empty_set,empty_set)
| equal(empty_set,skc5) ),
inference(rew,[status(thm),theory(equality)],[530,324]),
[iquote('1:Rew:530.0,324.0')] ).
cnf(536,plain,
equal(empty_set,skc5),
inference(obv,[status(thm),theory(equality)],[535]),
[iquote('1:Obv:535.0')] ).
cnf(539,plain,
equal(relation_dom(skc5),skc5),
inference(rew,[status(thm),theory(equality)],[536,20]),
[iquote('1:Rew:536.0,20.0')] ).
cnf(540,plain,
equal(relation_rng(skc5),skc5),
inference(rew,[status(thm),theory(equality)],[536,21]),
[iquote('1:Rew:536.0,21.0')] ).
cnf(564,plain,
( ~ equal(skc5,skc5)
| ~ equal(skc5,skc5) ),
inference(rew,[status(thm),theory(equality)],[539,358,536,540]),
[iquote('1:Rew:539.0,358.1,536.0,358.1,540.0,358.0')] ).
cnf(565,plain,
$false,
inference(obv,[status(thm),theory(equality)],[564]),
[iquote('1:Obv:564.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU189+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 12:14:47 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.16/1.35
% 1.16/1.35 SPASS V 3.9
% 1.16/1.35 SPASS beiseite: Proof found.
% 1.16/1.35 % SZS status Theorem
% 1.16/1.35 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.35 SPASS derived 226 clauses, backtracked 84 clauses, performed 1 splits and kept 492 clauses.
% 1.16/1.35 SPASS allocated 104423 KBytes.
% 1.16/1.35 SPASS spent 0:00:01.01 on the problem.
% 1.16/1.35 0:00:00.04 for the input.
% 1.16/1.35 0:00:00.86 for the FLOTTER CNF translation.
% 1.16/1.35 0:00:00.00 for inferences.
% 1.16/1.35 0:00:00.00 for the backtracking.
% 1.16/1.35 0:00:00.05 for the reduction.
% 1.16/1.35
% 1.16/1.35
% 1.16/1.35 Here is a proof with depth 1, length 25 :
% 1.16/1.35 % SZS output start Refutation
% See solution above
% 1.16/1.35 Formulae used in the proof : t65_relat_1 t60_relat_1 t64_relat_1
% 1.16/1.35
%------------------------------------------------------------------------------