TSTP Solution File: SEU180+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 14:34:45 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 7 unt; 0 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc6),
file('SEU180+1.p',unknown),
[] ).
cnf(9,axiom,
in(ordered_pair(skc8,skc7),skc6),
file('SEU180+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ in(skc7,relation_field(skc6))
| ~ in(skc8,relation_field(skc6)) ),
file('SEU180+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ relation(u)
| equal(set_union2(relation_dom(u),relation_rng(u)),relation_field(u)) ),
file('SEU180+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ in(u,v)
| ~ equal(w,set_union2(v,x))
| in(u,w) ),
file('SEU180+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ in(u,v)
| ~ equal(w,set_union2(x,v))
| in(u,w) ),
file('SEU180+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ relation(u)
| ~ equal(v,relation_dom(u))
| ~ in(ordered_pair(w,x),u)
| in(w,v) ),
file('SEU180+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ relation(u)
| ~ equal(v,relation_rng(u))
| ~ in(ordered_pair(w,x),u)
| in(x,v) ),
file('SEU180+1.p',unknown),
[] ).
cnf(51,plain,
equal(set_union2(relation_dom(skc6),relation_rng(skc6)),relation_field(skc6)),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.0,27.0')] ).
cnf(56,plain,
( ~ relation(skc6)
| ~ equal(u,relation_dom(skc6))
| in(skc8,u) ),
inference(res,[status(thm),theory(equality)],[9,31]),
[iquote('0:Res:9.0,31.2')] ).
cnf(57,plain,
( ~ relation(skc6)
| ~ equal(u,relation_rng(skc6))
| in(skc7,u) ),
inference(res,[status(thm),theory(equality)],[9,32]),
[iquote('0:Res:9.0,32.2')] ).
cnf(65,plain,
( ~ equal(u,relation_dom(skc6))
| in(skc8,u) ),
inference(mrr,[status(thm)],[56,1]),
[iquote('0:MRR:56.0,1.0')] ).
cnf(66,plain,
( ~ equal(u,relation_rng(skc6))
| in(skc7,u) ),
inference(mrr,[status(thm)],[57,1]),
[iquote('0:MRR:57.0,1.0')] ).
cnf(180,plain,
( ~ in(u,v)
| in(u,set_union2(w,v)) ),
inference(eqr,[status(thm),theory(equality)],[29]),
[iquote('0:EqR:29.1')] ).
cnf(208,plain,
( ~ in(u,v)
| in(u,set_union2(v,w)) ),
inference(eqr,[status(thm),theory(equality)],[28]),
[iquote('0:EqR:28.1')] ).
cnf(222,plain,
( ~ in(u,relation_rng(skc6))
| in(u,relation_field(skc6)) ),
inference(spr,[status(thm),theory(equality)],[51,180]),
[iquote('0:SpR:51.0,180.1')] ).
cnf(244,plain,
( ~ in(u,relation_dom(skc6))
| in(u,relation_field(skc6)) ),
inference(spr,[status(thm),theory(equality)],[51,208]),
[iquote('0:SpR:51.0,208.1')] ).
cnf(251,plain,
( ~ in(skc8,relation_dom(skc6))
| ~ in(skc7,relation_field(skc6)) ),
inference(res,[status(thm),theory(equality)],[244,24]),
[iquote('0:Res:244.1,24.1')] ).
cnf(258,plain,
( ~ equal(relation_dom(skc6),relation_dom(skc6))
| ~ in(skc7,relation_field(skc6)) ),
inference(res,[status(thm),theory(equality)],[65,251]),
[iquote('0:Res:65.1,251.0')] ).
cnf(259,plain,
~ in(skc7,relation_field(skc6)),
inference(obv,[status(thm),theory(equality)],[258]),
[iquote('0:Obv:258.0')] ).
cnf(262,plain,
~ in(skc7,relation_rng(skc6)),
inference(res,[status(thm),theory(equality)],[222,259]),
[iquote('0:Res:222.1,259.0')] ).
cnf(269,plain,
~ equal(relation_rng(skc6),relation_rng(skc6)),
inference(res,[status(thm),theory(equality)],[66,262]),
[iquote('0:Res:66.1,262.0')] ).
cnf(270,plain,
$false,
inference(obv,[status(thm),theory(equality)],[269]),
[iquote('0:Obv:269.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n005.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 : Sun Jun 19 05:19:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 210 clauses, backtracked 0 clauses, performed 0 splits and kept 141 clauses.
% 0.20/0.50 SPASS allocated 98429 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.07 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.00 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.01 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 6, length 23 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : t30_relat_1 d6_relat_1 d2_xboole_0 d4_relat_1 d5_relat_1
% 0.20/0.50
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