TSTP Solution File: SWC076-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWC076-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 22:01:33 EDT 2022
% Result : Unsatisfiable 49.88s 50.10s
% Output : Refutation 49.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of clauses : 40 ( 22 unt; 1 nHn; 40 RR)
% Number of literals : 82 ( 0 equ; 49 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssList(sk1),
file('SWC076-1.p',unknown),
[] ).
cnf(5,axiom,
equal(sk4,sk2),
file('SWC076-1.p',unknown),
[] ).
cnf(6,axiom,
equal(sk3,sk1),
file('SWC076-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssList(u)
| ~ neq(u,nil)
| ~ segmentP(sk1,u)
| ~ segmentP(sk2,u) ),
file('SWC076-1.p',unknown),
[] ).
cnf(8,axiom,
ssList(sk5),
file('SWC076-1.p',unknown),
[] ).
cnf(9,axiom,
ssList(sk6),
file('SWC076-1.p',unknown),
[] ).
cnf(10,axiom,
equal(app(app(sk5,sk3),sk6),sk4),
file('SWC076-1.p',unknown),
[] ).
cnf(11,axiom,
equalelemsP(sk3),
file('SWC076-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ equal(nil,sk3)
| equal(sk4,nil) ),
file('SWC076-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ equal(nil,sk2)
| ~ equal(nil,sk1) ),
file('SWC076-1.p',unknown),
[] ).
cnf(16,axiom,
equalelemsP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(17,axiom,
duplicatefreeP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(18,axiom,
strictorderedP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(19,axiom,
totalorderedP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(20,axiom,
strictorderP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(21,axiom,
totalorderP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(22,axiom,
cyclefreeP(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(23,axiom,
ssList(nil),
file('SWC076-1.p',unknown),
[] ).
cnf(72,axiom,
( ~ ssList(u)
| segmentP(u,u) ),
file('SWC076-1.p',unknown),
[] ).
cnf(115,axiom,
( ~ ssList(u)
| ~ ssList(v)
| equal(u,v)
| neq(u,v) ),
file('SWC076-1.p',unknown),
[] ).
cnf(164,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| equal(app(app(u,v),w),app(u,app(v,w))) ),
file('SWC076-1.p',unknown),
[] ).
cnf(187,axiom,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ segmentP(x,w)
| segmentP(app(app(v,x),u),w) ),
file('SWC076-1.p',unknown),
[] ).
cnf(201,plain,
equalelemsP(sk1),
inference(rew,[status(thm),theory(equality)],[6,11]),
[iquote('0:Rew:6.0,11.0')] ).
cnf(204,plain,
( ~ equal(nil,sk1)
| equal(nil,sk2) ),
inference(rew,[status(thm),theory(equality)],[5,14,6]),
[iquote('0:Rew:5.0,14.1,6.0,14.0')] ).
cnf(205,plain,
equal(app(app(sk5,sk1),sk6),sk2),
inference(rew,[status(thm),theory(equality)],[6,10,5]),
[iquote('0:Rew:6.0,10.0,5.0,10.0')] ).
cnf(206,plain,
( ~ equal(sk2,sk2)
| ~ equal(nil,sk1) ),
inference(rew,[status(thm),theory(equality)],[204,15]),
[iquote('0:Rew:204.1,15.0')] ).
cnf(207,plain,
~ equal(nil,sk1),
inference(obv,[status(thm),theory(equality)],[206]),
[iquote('0:Obv:206.0')] ).
cnf(210,plain,
( ~ ssList(u)
| ~ ssList(v)
| ~ ssList(w)
| ~ ssList(x)
| ~ segmentP(u,v)
| segmentP(app(w,app(u,x)),v) ),
inference(rew,[status(thm),theory(equality)],[164,187]),
[iquote('0:Rew:164.3,187.5')] ).
cnf(244,plain,
( ~ ssList(u)
| ~ ssList(v)
| equal(app(app(u,v),sk6),app(u,app(v,sk6))) ),
inference(res,[status(thm),theory(equality)],[9,164]),
[iquote('0:Res:9.0,164.0')] ).
cnf(22495,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| equal(app(sk5,app(sk1,sk6)),sk2) ),
inference(spr,[status(thm),theory(equality)],[244,205]),
[iquote('0:SpR:244.2,205.0')] ).
cnf(31860,plain,
equal(app(sk5,app(sk1,sk6)),sk2),
inference(ssi,[status(thm)],[22495,201,1,8]),
[iquote('0:SSi:22495.1,22495.0,201.0,1.0,8.0')] ).
cnf(32445,plain,
( ~ ssList(sk1)
| ~ ssList(u)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ segmentP(sk1,u)
| segmentP(sk2,u) ),
inference(spr,[status(thm),theory(equality)],[31860,210]),
[iquote('0:SpR:31860.0,210.5')] ).
cnf(33629,plain,
( ~ ssList(u)
| ~ segmentP(sk1,u)
| segmentP(sk2,u) ),
inference(ssi,[status(thm)],[32445,9,8,201,1]),
[iquote('0:SSi:32445.3,32445.2,32445.0,9.0,8.0,201.0,1.0')] ).
cnf(33630,plain,
( ~ ssList(u)
| ~ neq(u,nil)
| ~ segmentP(sk1,u) ),
inference(mrr,[status(thm)],[7,33629]),
[iquote('0:MRR:7.3,33629.2')] ).
cnf(33777,plain,
( ~ ssList(sk1)
| ~ ssList(sk1)
| ~ neq(sk1,nil) ),
inference(res,[status(thm),theory(equality)],[72,33630]),
[iquote('0:Res:72.1,33630.2')] ).
cnf(33778,plain,
( ~ ssList(sk1)
| ~ neq(sk1,nil) ),
inference(obv,[status(thm),theory(equality)],[33777]),
[iquote('0:Obv:33777.0')] ).
cnf(33779,plain,
~ neq(sk1,nil),
inference(ssi,[status(thm)],[33778,201,1]),
[iquote('0:SSi:33778.0,201.0,1.0')] ).
cnf(39664,plain,
( ~ ssList(sk1)
| ~ ssList(nil)
| equal(nil,sk1) ),
inference(res,[status(thm),theory(equality)],[115,33779]),
[iquote('0:Res:115.3,33779.0')] ).
cnf(39665,plain,
equal(nil,sk1),
inference(ssi,[status(thm)],[39664,16,17,22,21,20,19,18,23,201,1]),
[iquote('0:SSi:39664.1,39664.0,16.0,17.0,22.0,21.0,20.0,19.0,18.0,23.0,201.0,1.0')] ).
cnf(39666,plain,
$false,
inference(mrr,[status(thm)],[39665,207]),
[iquote('0:MRR:39665.0,207.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC076-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.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 Jun 13 00:42:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 49.88/50.10
% 49.88/50.10 SPASS V 3.9
% 49.88/50.10 SPASS beiseite: Proof found.
% 49.88/50.10 % SZS status Theorem
% 49.88/50.10 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.88/50.10 SPASS derived 22944 clauses, backtracked 10894 clauses, performed 140 splits and kept 18163 clauses.
% 49.88/50.10 SPASS allocated 105791 KBytes.
% 49.88/50.10 SPASS spent 0:0:43.66 on the problem.
% 49.88/50.10 0:00:00.04 for the input.
% 49.88/50.10 0:00:00.00 for the FLOTTER CNF translation.
% 49.88/50.10 0:00:00.41 for inferences.
% 49.88/50.10 0:00:02.15 for the backtracking.
% 49.88/50.10 0:0:40.58 for the reduction.
% 49.88/50.10
% 49.88/50.10
% 49.88/50.10 Here is a proof with depth 3, length 40 :
% 49.88/50.10 % SZS output start Refutation
% See solution above
% 49.88/50.10 Formulae used in the proof : co1_1 co1_5 co1_6 co1_7 co1_8 co1_9 co1_10 co1_11 co1_14 co1_15 clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause57 clause100 clause149 clause172
% 49.88/50.10
%------------------------------------------------------------------------------