TSTP Solution File: SEU157+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 14:34:27 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 35 ( 13 unt; 2 nHn; 35 RR)
% Number of literals : 65 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( in(skc6,skc8)
| in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)) ),
file('SEU157+1.p',unknown),
[] ).
cnf(7,axiom,
( in(skc7,skc9)
| in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)) ),
file('SEU157+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ skP0(u,v,w)
| in(skf5(w,x,y),w) ),
file('SEU157+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ skP0(u,v,w)
| in(skf4(v,x,y),v) ),
file('SEU157+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ equal(ordered_pair(u,v),ordered_pair(w,x))
| equal(u,w) ),
file('SEU157+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(ordered_pair(u,v),ordered_pair(w,x))
| equal(v,x) ),
file('SEU157+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ in(u,v)
| ~ equal(v,cartesian_product2(w,x))
| skP0(u,x,w) ),
file('SEU157+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ equal(u,cartesian_product2(v,w))
| ~ skP0(x,w,v)
| in(x,u) ),
file('SEU157+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ in(skc7,skc9)
| ~ in(skc6,skc8)
| ~ in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)) ),
file('SEU157+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ skP0(u,v,w)
| equal(ordered_pair(skf5(w,v,u),skf4(v,u,w)),u) ),
file('SEU157+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ in(u,v)
| ~ in(w,x)
| ~ equal(y,ordered_pair(w,u))
| skP0(y,v,x) ),
file('SEU157+1.p',unknown),
[] ).
cnf(21,plain,
in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)),
inference(spt,[spt(split,[position(s1)])],[7]),
[iquote('1:Spt:7.1')] ).
cnf(22,plain,
( ~ in(skc7,skc9)
| ~ in(skc6,skc8) ),
inference(mrr,[status(thm)],[16,21]),
[iquote('1:MRR:16.2,21.0')] ).
cnf(62,plain,
( ~ in(u,cartesian_product2(v,w))
| skP0(u,w,v) ),
inference(eqr,[status(thm),theory(equality)],[13]),
[iquote('0:EqR:13.1')] ).
cnf(63,plain,
skP0(ordered_pair(skc6,skc7),skc9,skc8),
inference(res,[status(thm),theory(equality)],[21,62]),
[iquote('1:Res:21.0,62.0')] ).
cnf(64,plain,
in(skf5(skc8,u,v),skc8),
inference(res,[status(thm),theory(equality)],[63,9]),
[iquote('1:Res:63.0,9.0')] ).
cnf(65,plain,
in(skf4(skc9,u,v),skc9),
inference(res,[status(thm),theory(equality)],[63,10]),
[iquote('1:Res:63.0,10.0')] ).
cnf(68,plain,
( ~ skP0(u,v,w)
| in(u,cartesian_product2(w,v)) ),
inference(eqr,[status(thm),theory(equality)],[14]),
[iquote('0:EqR:14.0')] ).
cnf(126,plain,
( ~ skP0(u,v,w)
| ~ equal(u,ordered_pair(x,y))
| equal(skf5(w,v,u),x) ),
inference(spl,[status(thm),theory(equality)],[17,11]),
[iquote('0:SpL:17.1,11.0')] ).
cnf(127,plain,
( ~ skP0(u,v,w)
| ~ equal(u,ordered_pair(x,y))
| equal(skf4(v,u,w),y) ),
inference(spl,[status(thm),theory(equality)],[17,12]),
[iquote('0:SpL:17.1,12.0')] ).
cnf(169,plain,
( ~ skP0(ordered_pair(u,v),w,x)
| equal(skf5(x,w,ordered_pair(u,v)),u) ),
inference(eqr,[status(thm),theory(equality)],[126]),
[iquote('0:EqR:126.1')] ).
cnf(173,plain,
( ~ in(u,v)
| ~ in(w,x)
| skP0(ordered_pair(w,u),v,x) ),
inference(eqr,[status(thm),theory(equality)],[19]),
[iquote('0:EqR:19.2')] ).
cnf(211,plain,
( ~ skP0(ordered_pair(u,v),w,x)
| equal(skf4(w,ordered_pair(u,v),x),v) ),
inference(eqr,[status(thm),theory(equality)],[127]),
[iquote('0:EqR:127.1')] ).
cnf(234,plain,
( ~ skP0(ordered_pair(u,v),w,skc8)
| in(u,skc8) ),
inference(spr,[status(thm),theory(equality)],[169,64]),
[iquote('1:SpR:169.1,64.0')] ).
cnf(261,plain,
in(skc6,skc8),
inference(res,[status(thm),theory(equality)],[63,234]),
[iquote('1:Res:63.0,234.0')] ).
cnf(263,plain,
~ in(skc7,skc9),
inference(mrr,[status(thm)],[22,261]),
[iquote('1:MRR:22.1,261.0')] ).
cnf(316,plain,
( ~ skP0(ordered_pair(u,v),skc9,w)
| in(v,skc9) ),
inference(spr,[status(thm),theory(equality)],[211,65]),
[iquote('1:SpR:211.1,65.0')] ).
cnf(339,plain,
in(skc7,skc9),
inference(res,[status(thm),theory(equality)],[63,316]),
[iquote('1:Res:63.0,316.0')] ).
cnf(341,plain,
$false,
inference(mrr,[status(thm)],[339,263]),
[iquote('1:MRR:339.0,263.0')] ).
cnf(342,plain,
~ in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)),
inference(spt,[spt(split,[position(sa)])],[341,21]),
[iquote('1:Spt:341.0,7.1,21.0')] ).
cnf(343,plain,
in(skc7,skc9),
inference(spt,[spt(split,[position(s2)])],[7]),
[iquote('1:Spt:341.0,7.0')] ).
cnf(344,plain,
in(skc6,skc8),
inference(mrr,[status(thm)],[6,342]),
[iquote('1:MRR:6.1,342.0')] ).
cnf(351,plain,
~ skP0(ordered_pair(skc6,skc7),skc9,skc8),
inference(res,[status(thm),theory(equality)],[68,342]),
[iquote('1:Res:68.1,342.0')] ).
cnf(370,plain,
( ~ in(skc7,skc9)
| ~ in(skc6,skc8) ),
inference(res,[status(thm),theory(equality)],[173,351]),
[iquote('1:Res:173.2,351.0')] ).
cnf(371,plain,
$false,
inference(mrr,[status(thm)],[370,343,344]),
[iquote('1:MRR:370.0,370.1,343.0,344.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 11:27:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48
% 0.18/0.48 SPASS V 3.9
% 0.18/0.48 SPASS beiseite: Proof found.
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 SPASS derived 296 clauses, backtracked 4 clauses, performed 1 splits and kept 175 clauses.
% 0.18/0.48 SPASS allocated 85531 KBytes.
% 0.18/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.48 0:00:00.04 for the input.
% 0.18/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.48 0:00:00.01 for inferences.
% 0.18/0.48 0:00:00.00 for the backtracking.
% 0.18/0.48 0:00:00.03 for the reduction.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Here is a proof with depth 5, length 35 :
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 Formulae used in the proof : l55_zfmisc_1 d2_zfmisc_1 antisymmetry_r2_hidden t33_zfmisc_1
% 0.18/0.48
%------------------------------------------------------------------------------