TSTP Solution File: SYO614-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %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 : 300s
% DateTime : Wed Aug 31 19:48:39 EDT 2022
% Result : Unsatisfiable 0.17s 1.37s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 13 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f147,plain,
$false,
inference(resolution,[],[f125,f39]) ).
fof(f39,plain,
! [X8,X6,X9,X7,X5] : le(X5,max(max(max(X6,max(X5,X7)),X8),X9)),
inference(resolution,[],[f20,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f20,plain,
! [X2,X3,X0,X1] : le(X0,max(max(max(X1,X0),X2),X3)),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ le(max(X0,X1),X2)
| le(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f11,plain,
! [X3,X4,X5] : le(X3,max(max(X3,X4),X5)),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X0,X1] : le(X0,max(X0,X1)),
inference(resolution,[],[f2,f1]) ).
fof(f1,axiom,
! [X0] : le(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f125,plain,
! [X2,X1] : ~ le(s(X1),X2),
inference(subsumption_resolution,[],[f124,f122]) ).
fof(f122,plain,
! [X0] : eq(f(X0),a0),
inference(resolution,[],[f121,f4]) ).
fof(f4,axiom,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f121,plain,
! [X18] : ~ eq(f(X18),a1),
inference(subsumption_resolution,[],[f120,f87]) ).
fof(f87,plain,
! [X2,X1] :
( ~ eq(f(X2),a0)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f33,f8]) ).
fof(f8,plain,
! [X0,X1] : le(X0,max(X1,X0)),
inference(resolution,[],[f3,f1]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ le(s(X1),max(s(X0),X2))
| ~ eq(f(X0),a1)
| ~ eq(f(X1),a0) ),
inference(resolution,[],[f17,f5]) ).
fof(f5,axiom,
! [X3,X4] :
( ~ eq(f(X4),a0)
| ~ le(s(X3),X4)
| ~ eq(f(X3),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f17,plain,
! [X2,X1] :
( eq(f(max(s(X1),X2)),a0)
| ~ eq(f(X1),a1) ),
inference(resolution,[],[f9,f7]) ).
fof(f9,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| eq(f(X1),a0)
| ~ eq(f(X0),a1) ),
inference(resolution,[],[f6,f4]) ).
fof(f6,axiom,
! [X3,X4] :
( ~ eq(f(X4),a1)
| ~ eq(f(X3),a1)
| ~ le(s(X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f120,plain,
! [X18,X16,X14,X17,X15] :
( eq(f(max(X14,max(X15,max(X16,max(X17,s(X18)))))),a0)
| ~ eq(f(X18),a1) ),
inference(resolution,[],[f44,f9]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X4] : le(X0,max(X1,max(X2,max(X3,max(X4,X0))))),
inference(resolution,[],[f23,f3]) ).
fof(f23,plain,
! [X2,X3,X0,X1] : le(X0,max(X1,max(X2,max(X3,X0)))),
inference(resolution,[],[f12,f3]) ).
fof(f12,plain,
! [X2,X0,X1] : le(X0,max(X1,max(X2,X0))),
inference(resolution,[],[f8,f3]) ).
fof(f124,plain,
! [X2,X1] :
( ~ eq(f(X1),a0)
| ~ le(s(X1),X2) ),
inference(resolution,[],[f122,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.83 % Problem : SYO614-1 : TPTP v8.1.0. Released v7.1.0.
% 0.11/0.88 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/1.15 % Computer : n014.cluster.edu
% 0.11/1.15 % Model : x86_64 x86_64
% 0.11/1.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.15 % Memory : 8042.1875MB
% 0.11/1.15 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.15 % CPULimit : 300
% 0.11/1.15 % WCLimit : 300
% 0.11/1.15 % DateTime : Tue Aug 30 23:07:48 EDT 2022
% 0.11/1.18 % CPUTime :
% 0.17/1.36 % (24348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.17/1.36 % (24364)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.17/1.36 % (24348)First to succeed.
% 0.17/1.37 % (24348)Refutation found. Thanks to Tanya!
% 0.17/1.37 % SZS status Unsatisfiable for theBenchmark
% 0.17/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.37 % (24348)------------------------------
% 0.17/1.37 % (24348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/1.37 % (24348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/1.37 % (24348)Termination reason: Refutation
% 0.17/1.37
% 0.17/1.37 % (24348)Memory used [KB]: 1407
% 0.17/1.37 % (24348)Time elapsed: 0.098 s
% 0.17/1.37 % (24348)Instructions burned: 6 (million)
% 0.17/1.37 % (24348)------------------------------
% 0.17/1.37 % (24348)------------------------------
% 0.17/1.37 % (24341)Success in time 0.167 s
%------------------------------------------------------------------------------