TSTP Solution File: SYN353+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:20:41 EDT 2022
% Result : Theorem 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 13
% Syntax : Number of clauses : 60 ( 7 unt; 37 nHn; 60 RR)
% Number of literals : 157 ( 0 equ; 47 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( big(u,v,w)
| big(w,v,skf1(u,w,v)) ),
file('SYN353+1.p',unknown),
[] ).
cnf(2,axiom,
( big(u,v,w)
| big(w,skf1(v,u,w),u) ),
file('SYN353+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big(skf1(u,v,w),v,w)
| big(w,v,u)
| big(u,w,v) ),
file('SYN353+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big(skf1(u,v,w),v,w)
| big(w,v,u)
| big(v,u,w) ),
file('SYN353+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big(u,v,w)
| ~ big(w,u,v)
| big(u,w,skf1(v,u,w)) ),
file('SYN353+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ big(u,v,w)
| ~ big(w,v,skf1(u,w,v))
| big(v,w,u) ),
file('SYN353+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ big(u,v,w)
| ~ big(w,v,skf1(u,w,v))
| big(w,u,v) ),
file('SYN353+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ big(u,v,w)
| ~ big(v,w,u)
| big(v,skf1(u,w,v),w) ),
file('SYN353+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ big(u,v,w)
| ~ big(w,skf1(v,u,w),u)
| big(w,u,v) ),
file('SYN353+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ big(u,v,w)
| ~ big(w,skf1(v,u,w),u)
| big(v,w,u) ),
file('SYN353+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ big(u,v,w)
| ~ big(v,w,u)
| big(skf1(v,u,w),u,w) ),
file('SYN353+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ big(u,v,w)
| ~ big(skc1,skc1,skf1(w,v,u))
| big(w,u,v)
| big(v,w,u) ),
file('SYN353+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ big(u,v,w)
| ~ big(w,u,v)
| ~ big(v,w,u)
| ~ big(skf1(u,w,v),skf1(u,w,v),skf1(u,w,v)) ),
file('SYN353+1.p',unknown),
[] ).
cnf(30,plain,
( ~ big(skc1,skc1,u)
| big(u,skc1,skc1)
| big(u,skc1,skc1)
| big(skc1,u,skc1) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.1,16.1')] ).
cnf(32,plain,
( ~ big(skc1,skc1,u)
| big(u,skc1,skc1)
| big(skc1,u,skc1) ),
inference(obv,[status(thm),theory(equality)],[30]),
[iquote('0:Obv:30.1')] ).
cnf(33,plain,
( big(u,skc1,skc1)
| big(skf1(u,skc1,skc1),skc1,skc1)
| big(skc1,skf1(u,skc1,skc1),skc1) ),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.1,32.0')] ).
cnf(35,plain,
( big(u,skc1,skc1)
| big(skc1,skf1(u,skc1,skc1),skc1)
| big(skc1,skc1,u)
| big(u,skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[33,4]),
[iquote('0:Res:33.1,4.0')] ).
cnf(37,plain,
( big(skc1,skf1(u,skc1,skc1),skc1)
| big(skc1,skc1,u)
| big(u,skc1,skc1) ),
inference(obv,[status(thm),theory(equality)],[35]),
[iquote('0:Obv:35.0')] ).
cnf(38,plain,
( ~ big(skc1,u,skc1)
| big(skc1,skc1,u)
| big(u,skc1,skc1)
| big(skc1,skc1,u) ),
inference(res,[status(thm),theory(equality)],[37,10]),
[iquote('0:Res:37.0,10.1')] ).
cnf(40,plain,
( ~ big(skc1,u,skc1)
| big(u,skc1,skc1)
| big(skc1,skc1,u) ),
inference(obv,[status(thm),theory(equality)],[38]),
[iquote('0:Obv:38.1')] ).
cnf(45,plain,
( big(skc1,u,skc1)
| big(skf1(u,skc1,skc1),skc1,skc1)
| big(skc1,skc1,skf1(u,skc1,skc1)) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.1,40.0')] ).
cnf(49,plain,
( big(skc1,u,skc1)
| big(skc1,skc1,skf1(u,skc1,skc1))
| big(skc1,skc1,u)
| big(skc1,u,skc1) ),
inference(res,[status(thm),theory(equality)],[45,5]),
[iquote('0:Res:45.1,5.0')] ).
cnf(50,plain,
( big(skc1,skc1,skf1(u,skc1,skc1))
| big(skc1,skc1,u)
| big(skc1,u,skc1) ),
inference(obv,[status(thm),theory(equality)],[49]),
[iquote('0:Obv:49.0')] ).
cnf(51,plain,
( ~ big(u,skc1,skc1)
| big(skc1,skc1,u)
| big(skc1,u,skc1)
| big(skc1,skc1,u) ),
inference(res,[status(thm),theory(equality)],[50,7]),
[iquote('0:Res:50.0,7.1')] ).
cnf(55,plain,
( ~ big(u,skc1,skc1)
| big(skc1,u,skc1)
| big(skc1,skc1,u) ),
inference(obv,[status(thm),theory(equality)],[51]),
[iquote('0:Obv:51.1')] ).
cnf(58,plain,
( ~ big(skc1,u,skc1)
| ~ big(u,skc1,skc1)
| big(skc1,skf1(u,skc1,skc1),skc1)
| big(skc1,skc1,skf1(u,skc1,skc1)) ),
inference(res,[status(thm),theory(equality)],[12,55]),
[iquote('0:Res:12.2,55.0')] ).
cnf(61,plain,
( big(skc1,skf1(u,skc1,skc1),skc1)
| big(skc1,skc1,skf1(u,skc1,skc1)) ),
inference(mrr,[status(thm)],[58,2,1]),
[iquote('0:MRR:58.0,58.1,2.0,1.0')] ).
cnf(64,plain,
( ~ big(skc1,u,skc1)
| big(skc1,skc1,skf1(u,skc1,skc1))
| big(skc1,skc1,u) ),
inference(res,[status(thm),theory(equality)],[61,10]),
[iquote('0:Res:61.0,10.1')] ).
cnf(66,plain,
( big(skc1,skc1,skf1(u,skc1,skc1))
| big(skf1(u,skc1,skc1),skc1,skc1)
| big(skc1,skc1,skf1(u,skc1,skc1)) ),
inference(res,[status(thm),theory(equality)],[61,40]),
[iquote('0:Res:61.0,40.0')] ).
cnf(67,plain,
( big(skc1,skc1,skf1(u,skc1,skc1))
| big(skc1,skc1,u) ),
inference(mrr,[status(thm)],[64,50]),
[iquote('0:MRR:64.0,50.2')] ).
cnf(68,plain,
( big(skf1(u,skc1,skc1),skc1,skc1)
| big(skc1,skc1,skf1(u,skc1,skc1)) ),
inference(obv,[status(thm),theory(equality)],[66]),
[iquote('0:Obv:66.0')] ).
cnf(69,plain,
( ~ big(u,skc1,skc1)
| big(skc1,skc1,u)
| big(skc1,skc1,u) ),
inference(res,[status(thm),theory(equality)],[67,7]),
[iquote('0:Res:67.0,7.1')] ).
cnf(73,plain,
( ~ big(u,skc1,skc1)
| big(skc1,skc1,u) ),
inference(obv,[status(thm),theory(equality)],[69]),
[iquote('0:Obv:69.1')] ).
cnf(76,plain,
big(skc1,skc1,skf1(u,skc1,skc1)),
inference(mrr,[status(thm)],[68,73]),
[iquote('0:MRR:68.0,73.0')] ).
cnf(78,plain,
( ~ big(u,skc1,skc1)
| big(skc1,u,skc1) ),
inference(res,[status(thm),theory(equality)],[76,8]),
[iquote('0:Res:76.0,8.1')] ).
cnf(80,plain,
( big(skf1(u,skc1,skc1),skc1,skc1)
| big(skc1,skf1(u,skc1,skc1),skc1) ),
inference(res,[status(thm),theory(equality)],[76,32]),
[iquote('0:Res:76.0,32.0')] ).
cnf(83,plain,
big(skc1,skf1(u,skc1,skc1),skc1),
inference(mrr,[status(thm)],[80,78]),
[iquote('0:MRR:80.0,78.0')] ).
cnf(85,plain,
( ~ big(skc1,u,skc1)
| big(u,skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[83,11]),
[iquote('0:Res:83.0,11.1')] ).
cnf(98,plain,
big(skf1(u,skc1,skc1),skc1,skc1),
inference(res,[status(thm),theory(equality)],[83,85]),
[iquote('0:Res:83.0,85.0')] ).
cnf(99,plain,
( big(skc1,skc1,u)
| big(u,skc1,skc1) ),
inference(res,[status(thm),theory(equality)],[98,4]),
[iquote('0:Res:98.0,4.0')] ).
cnf(103,plain,
big(skc1,skc1,u),
inference(mrr,[status(thm)],[99,73]),
[iquote('0:MRR:99.1,73.0')] ).
cnf(104,plain,
( ~ big(u,v,w)
| big(w,u,v)
| big(v,w,u) ),
inference(mrr,[status(thm)],[16,103]),
[iquote('0:MRR:16.1,103.0')] ).
cnf(108,plain,
( big(u,v,w)
| big(u,w,skf1(v,u,w))
| big(skf1(v,u,w),u,w) ),
inference(res,[status(thm),theory(equality)],[2,104]),
[iquote('0:Res:2.1,104.0')] ).
cnf(109,plain,
( big(u,v,w)
| big(skf1(u,w,v),w,v)
| big(v,skf1(u,w,v),w) ),
inference(res,[status(thm),theory(equality)],[1,104]),
[iquote('0:Res:1.1,104.0')] ).
cnf(110,plain,
( ~ big(u,v,w)
| ~ big(v,w,u)
| big(w,skf1(v,u,w),u)
| big(u,w,skf1(v,u,w)) ),
inference(res,[status(thm),theory(equality)],[12,104]),
[iquote('0:Res:12.2,104.0')] ).
cnf(116,plain,
( big(u,skf1(v,w,u),w)
| big(w,u,skf1(v,w,u)) ),
inference(mrr,[status(thm)],[110,2,1]),
[iquote('0:MRR:110.0,110.1,2.0,1.0')] ).
cnf(130,plain,
( ~ big(u,v,w)
| big(u,w,skf1(v,u,w))
| big(w,u,v) ),
inference(res,[status(thm),theory(equality)],[116,10]),
[iquote('0:Res:116.0,10.1')] ).
cnf(133,plain,
( ~ big(u,v,w)
| big(v,skf1(u,w,v),w)
| big(v,w,u) ),
inference(res,[status(thm),theory(equality)],[116,7]),
[iquote('0:Res:116.1,7.1')] ).
cnf(135,plain,
( ~ big(u,v,w)
| big(u,w,skf1(v,u,w)) ),
inference(mrr,[status(thm)],[130,6]),
[iquote('0:MRR:130.2,6.1')] ).
cnf(136,plain,
( big(u,v,skf1(w,u,v))
| big(skf1(w,u,v),u,v) ),
inference(mrr,[status(thm)],[108,135]),
[iquote('0:MRR:108.0,135.0')] ).
cnf(137,plain,
( ~ big(u,v,w)
| big(v,skf1(u,w,v),w) ),
inference(mrr,[status(thm)],[133,9]),
[iquote('0:MRR:133.2,9.1')] ).
cnf(138,plain,
( big(skf1(u,v,w),v,w)
| big(w,skf1(u,v,w),v) ),
inference(mrr,[status(thm)],[109,137]),
[iquote('0:MRR:109.0,137.0')] ).
cnf(143,plain,
( big(u,v,skf1(w,u,v))
| big(v,u,w)
| big(u,w,v) ),
inference(res,[status(thm),theory(equality)],[136,5]),
[iquote('0:Res:136.1,5.0')] ).
cnf(144,plain,
( big(u,v,skf1(w,u,v))
| big(v,u,w) ),
inference(mrr,[status(thm)],[143,135]),
[iquote('0:MRR:143.2,135.0')] ).
cnf(145,plain,
( ~ big(u,v,w)
| big(v,w,u) ),
inference(mrr,[status(thm)],[7,144]),
[iquote('0:MRR:7.1,144.0')] ).
cnf(146,plain,
( ~ big(skf1(u,v,w),v,w)
| big(v,u,w) ),
inference(mrr,[status(thm)],[5,145]),
[iquote('0:MRR:5.1,145.0')] ).
cnf(150,plain,
( ~ big(u,v,w)
| ~ big(w,u,v)
| ~ big(skf1(v,u,w),skf1(v,u,w),skf1(v,u,w)) ),
inference(mrr,[status(thm)],[17,145]),
[iquote('0:MRR:17.0,145.1')] ).
cnf(154,plain,
big(skf1(u,v,w),v,w),
inference(mrr,[status(thm)],[138,145]),
[iquote('0:MRR:138.1,145.0')] ).
cnf(157,plain,
big(u,v,w),
inference(mrr,[status(thm)],[146,154]),
[iquote('0:MRR:146.0,154.0')] ).
cnf(159,plain,
$false,
inference(mrr,[status(thm)],[150,157]),
[iquote('0:MRR:150.0,150.1,150.2,157.0,157.0,157.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN353+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n014.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 : Mon Jul 11 14:09:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 115 clauses, backtracked 0 clauses, performed 0 splits and kept 60 clauses.
% 0.18/0.45 SPASS allocated 85207 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.01 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 13, length 60 :
% 0.18/0.45 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : church_46_18_5
% 0.18/0.45
%------------------------------------------------------------------------------