TSTP Solution File: SYO630-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO630-1 : 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_sat --cores 0 -t %d %s
% Computer : n019.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 19:51:49 EDT 2022
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 143 ( 78 ~; 65 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,plain,
$false,
inference(subsumption_resolution,[],[f79,f80]) ).
fof(f80,plain,
! [X14] : ~ 'E'(s(s(s(s('0')))),f(X14)),
inference(subsumption_resolution,[],[f60,f79]) ).
fof(f60,plain,
! [X14] :
( ~ 'E'(s(s(s(s('0')))),f(g(X14)))
| ~ 'E'(s(s(s(s('0')))),f(X14)) ),
inference(subsumption_resolution,[],[f30,f5]) ).
fof(f5,axiom,
! [X4] : ~ 'E'(f(X4),f(g(X4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31_05) ).
fof(f30,axiom,
! [X14] :
( ~ 'E'(s(s(s(s('0')))),f(g(X14)))
| 'E'(f(X14),f(g(X14)))
| ~ 'E'(s(s(s(s('0')))),f(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_30) ).
fof(f79,plain,
! [X0] : 'E'(s(s(s(s('0')))),f(g(X0))),
inference(subsumption_resolution,[],[f76,f77]) ).
fof(f77,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(X0))
| 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(resolution,[],[f74,f1]) ).
fof(f1,axiom,
! [X0] :
( 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).
fof(f74,plain,
! [X1] :
( ~ 'LE'(f(X1),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(g(X1))) ),
inference(resolution,[],[f70,f2]) ).
fof(f2,axiom,
! [X1] : iLEQ(X1,g(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13_02) ).
fof(f70,plain,
! [X10,X11] :
( ~ 'LE'(f(X10),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(X11))
| ~ iLEQ(X10,X11) ),
inference(subsumption_resolution,[],[f16,f69]) ).
fof(f69,plain,
! [X0] : ~ 'LE'(f(X0),s(s(s(s('0'))))),
inference(subsumption_resolution,[],[f66,f64]) ).
fof(f64,plain,
! [X0] :
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(resolution,[],[f62,f4]) ).
fof(f4,axiom,
! [X3] : iLEQ(X3,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_04) ).
fof(f62,plain,
! [X12,X13] :
( 'E'(s(s(s('0'))),f(X13))
| ~ 'LE'(f(X12),s(s(s(s('0')))))
| ~ iLEQ(X12,X13) ),
inference(subsumption_resolution,[],[f17,f59]) ).
fof(f59,plain,
! [X0] : ~ 'LE'(f(X0),s(s(s('0')))),
inference(subsumption_resolution,[],[f57,f53]) ).
fof(f53,plain,
! [X0] :
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0)) ),
inference(resolution,[],[f52,f4]) ).
fof(f52,plain,
! [X8,X9] :
( ~ iLEQ(X8,X9)
| ~ 'LE'(f(X8),s(s(s('0'))))
| 'E'(s(s('0')),f(X9)) ),
inference(subsumption_resolution,[],[f15,f50]) ).
fof(f50,plain,
! [X0] : ~ 'LE'(f(X0),s(s('0'))),
inference(subsumption_resolution,[],[f48,f45]) ).
fof(f45,plain,
! [X0] :
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f43,f4]) ).
fof(f43,plain,
! [X16,X15] :
( 'E'(s('0'),f(X16))
| ~ 'LE'(f(X15),s(s('0')))
| ~ iLEQ(X15,X16) ),
inference(subsumption_resolution,[],[f32,f40]) ).
fof(f40,plain,
! [X0] : ~ 'LE'(f(X0),s('0')),
inference(subsumption_resolution,[],[f38,f36]) ).
fof(f36,plain,
! [X0] :
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0)) ),
inference(resolution,[],[f34,f4]) ).
fof(f34,plain,
! [X6,X5] :
( 'E'('0',f(X6))
| ~ 'LE'(f(X5),s('0'))
| ~ iLEQ(X5,X6) ),
inference(subsumption_resolution,[],[f6,f7]) ).
fof(f7,axiom,
! [X7] : ~ 'LE'(f(X7),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_07) ).
fof(f6,axiom,
! [X6,X5] :
( ~ 'LE'(f(X5),s('0'))
| 'LE'(f(X6),'0')
| ~ iLEQ(X5,X6)
| 'E'('0',f(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_06) ).
fof(f38,plain,
! [X0] :
( ~ 'E'('0',f(X0))
| ~ 'LE'(f(X0),s('0')) ),
inference(resolution,[],[f35,f2]) ).
fof(f35,plain,
! [X0,X1] :
( ~ iLEQ(X0,g(X1))
| ~ 'LE'(f(X0),s('0'))
| ~ 'E'('0',f(X1)) ),
inference(resolution,[],[f34,f33]) ).
fof(f33,plain,
! [X7] :
( ~ 'E'('0',f(g(X7)))
| ~ 'E'('0',f(X7)) ),
inference(subsumption_resolution,[],[f24,f5]) ).
fof(f24,axiom,
! [X7] :
( ~ 'E'('0',f(g(X7)))
| ~ 'E'('0',f(X7))
| 'E'(f(X7),f(g(X7))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_24) ).
fof(f32,axiom,
! [X16,X15] :
( ~ 'LE'(f(X15),s(s('0')))
| ~ iLEQ(X15,X16)
| 'LE'(f(X16),s('0'))
| 'E'(s('0'),f(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_32) ).
fof(f48,plain,
! [X0] :
( ~ 'E'(s('0'),f(X0))
| ~ 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f44,f2]) ).
fof(f44,plain,
! [X0,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ iLEQ(X0,g(X1))
| ~ 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[],[f43,f41]) ).
fof(f41,plain,
! [X3] :
( ~ 'E'(s('0'),f(g(X3)))
| ~ 'E'(s('0'),f(X3)) ),
inference(subsumption_resolution,[],[f13,f5]) ).
fof(f13,axiom,
! [X3] :
( 'E'(f(X3),f(g(X3)))
| ~ 'E'(s('0'),f(g(X3)))
| ~ 'E'(s('0'),f(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_13) ).
fof(f15,axiom,
! [X8,X9] :
( 'LE'(f(X9),s(s('0')))
| 'E'(s(s('0')),f(X9))
| ~ iLEQ(X8,X9)
| ~ 'LE'(f(X8),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16_15) ).
fof(f57,plain,
! [X0] :
( ~ 'E'(s(s('0')),f(X0))
| ~ 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f55,f2]) ).
fof(f55,plain,
! [X0,X1] :
( ~ 'E'(s(s('0')),f(X1))
| ~ iLEQ(X0,g(X1))
| ~ 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[],[f52,f42]) ).
fof(f42,plain,
! [X2] :
( ~ 'E'(s(s('0')),f(g(X2)))
| ~ 'E'(s(s('0')),f(X2)) ),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,axiom,
! [X2] :
( 'E'(f(X2),f(g(X2)))
| ~ 'E'(s(s('0')),f(g(X2)))
| ~ 'E'(s(s('0')),f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_12) ).
fof(f17,axiom,
! [X12,X13] :
( ~ 'LE'(f(X12),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X13))
| ~ iLEQ(X12,X13)
| 'LE'(f(X13),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_17) ).
fof(f66,plain,
! [X0] :
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f63,f2]) ).
fof(f63,plain,
! [X0,X1] :
( ~ iLEQ(X0,g(X1))
| ~ 'E'(s(s(s('0'))),f(X1))
| ~ 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[],[f62,f51]) ).
fof(f51,plain,
! [X4] :
( ~ 'E'(s(s(s('0'))),f(g(X4)))
| ~ 'E'(s(s(s('0'))),f(X4)) ),
inference(subsumption_resolution,[],[f11,f5]) ).
fof(f11,axiom,
! [X4] :
( 'E'(f(X4),f(g(X4)))
| ~ 'E'(s(s(s('0'))),f(g(X4)))
| ~ 'E'(s(s(s('0'))),f(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_11) ).
fof(f16,axiom,
! [X10,X11] :
( ~ iLEQ(X10,X11)
| ~ 'LE'(f(X10),s(s(s(s(s('0'))))))
| 'LE'(f(X11),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_16) ).
fof(f76,plain,
! [X0] :
( ~ 'E'(s(s(s(s(s('0'))))),f(X0))
| 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(resolution,[],[f75,f61]) ).
fof(f61,plain,
! [X1] :
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X1)) ),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,axiom,
! [X1] :
( ~ 'E'(s(s(s(s(s('0'))))),f(X1))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X1)))
| 'E'(f(X1),f(g(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_10) ).
fof(f75,plain,
! [X0] :
( 'E'(s(s(s(s(s('0'))))),f(X0))
| 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f73,f1]) ).
fof(f73,plain,
! [X0] :
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(X0)) ),
inference(resolution,[],[f70,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO630-1 : TPTP v8.1.0. Released v7.1.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 23:11:35 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.15/0.40 % (32629)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.15/0.41 % (32621)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.44 % (32611)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.45 % (32609)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.45 % (32610)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.46 % (32607)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.15/0.47 % (32612)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.15/0.47 % (32612)First to succeed.
% 0.15/0.47 % (32612)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (32612)------------------------------
% 0.15/0.47 % (32612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (32612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (32612)Termination reason: Refutation
% 0.15/0.47
% 0.15/0.47 % (32612)Memory used [KB]: 5500
% 0.15/0.47 % (32612)Time elapsed: 0.118 s
% 0.15/0.47 % (32612)Instructions burned: 3 (million)
% 0.15/0.47 % (32612)------------------------------
% 0.15/0.47 % (32612)------------------------------
% 0.15/0.47 % (32606)Success in time 0.153 s
%------------------------------------------------------------------------------