TSTP Solution File: SYO661-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO661-1 : TPTP v8.1.0. Released v7.3.0.
% 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 : n006.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 19:51:55 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 5 unt; 0 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 263 ( 128 ~; 135 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,plain,
$false,
inference(resolution,[],[f67,f1]) ).
fof(f1,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_93) ).
fof(f67,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f66,f54]) ).
fof(f54,plain,
! [X1] :
( 'E'('0',f(suc(X1)))
| 'LE'(f(X1),'0') ),
inference(resolution,[],[f52,f8]) ).
fof(f8,axiom,
! [X3] :
( ~ 'LE'(f(suc(X3)),s('0'))
| 'LE'(f(X3),'0')
| 'E'('0',f(suc(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_57) ).
fof(f52,plain,
! [X0] : 'LE'(f(X0),s('0')),
inference(subsumption_resolution,[],[f51,f41]) ).
fof(f41,plain,
! [X5] :
( 'E'(s('0'),f(X5))
| 'LE'(f(X5),s('0')) ),
inference(subsumption_resolution,[],[f25,f6]) ).
fof(f6,axiom,
! [X4] : 'LE'(f(X4),s(s('0'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
fof(f25,axiom,
! [X5] :
( ~ 'LE'(f(X5),s(s('0')))
| 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_118) ).
fof(f51,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(X0)) ),
inference(subsumption_resolution,[],[f47,f31]) ).
fof(f31,plain,
! [X5] :
( 'E'(s('0'),f(suc(X5)))
| 'LE'(f(X5),s('0')) ),
inference(subsumption_resolution,[],[f7,f6]) ).
fof(f7,axiom,
! [X5] :
( 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(suc(X5)))
| ~ 'LE'(f(suc(X5)),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_119) ).
fof(f47,plain,
! [X0] :
( 'LE'(f(X0),s('0'))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X0)) ),
inference(resolution,[],[f40,f32]) ).
fof(f32,plain,
! [X5] :
( 'E'(s('0'),f(suc(suc(X5))))
| 'LE'(f(X5),s('0')) ),
inference(subsumption_resolution,[],[f23,f6]) ).
fof(f23,axiom,
! [X5] :
( ~ 'LE'(f(suc(suc(X5))),s(s('0')))
| 'LE'(f(X5),s('0'))
| 'E'(s('0'),f(suc(suc(X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f40,plain,
! [X2] :
( ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2)) ),
inference(subsumption_resolution,[],[f39,f30]) ).
fof(f30,plain,
! [X2] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2))
| 'E'(f(X2),f(suc(X2))) ),
inference(subsumption_resolution,[],[f10,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(X0))
| 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X2))
| 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X1)))
| 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_106) ).
fof(f10,axiom,
! [X2] :
( iLEQ(suc(X2),suc(X2))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(X2))
| 'E'(f(X2),f(suc(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_85) ).
fof(f39,plain,
! [X2] :
( ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(suc(X2)))) ),
inference(subsumption_resolution,[],[f28,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(s('0'),f(suc(X2))) ),
inference(subsumption_resolution,[],[f37,f30]) ).
fof(f37,plain,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(X2)) ),
inference(subsumption_resolution,[],[f36,f30]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(X1))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(X1)))
| ~ iLEQ(suc(X2),suc(X0))
| ~ 'E'(s('0'),f(X0))
| ~ 'E'(s('0'),f(suc(suc(X1)))) ),
inference(subsumption_resolution,[],[f5,f30]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ 'E'(s('0'),f(suc(X1)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X1))))
| ~ 'E'(s('0'),f(suc(X0)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'(s('0'),f(suc(suc(X2))))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'(s('0'),f(X1))
| ~ iLEQ(suc(X2),suc(X0))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'(s('0'),f(suc(suc(X0))))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f28,axiom,
! [X2] :
( iLEQ(suc(X2),suc(X2))
| ~ 'E'(s('0'),f(X2))
| ~ 'E'(s('0'),f(suc(X2)))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(s('0'),f(suc(suc(X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f66,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(suc(X0))) ),
inference(subsumption_resolution,[],[f63,f53]) ).
fof(f53,plain,
! [X0] :
( 'E'('0',f(X0))
| 'LE'(f(X0),'0') ),
inference(resolution,[],[f52,f9]) ).
fof(f9,axiom,
! [X3] :
( ~ 'LE'(f(X3),s('0'))
| 'E'('0',f(X3))
| 'LE'(f(X3),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0) ).
fof(f63,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f58,f55]) ).
fof(f55,plain,
! [X2] :
( 'E'('0',f(suc(suc(X2))))
| 'LE'(f(X2),'0') ),
inference(resolution,[],[f52,f3]) ).
fof(f3,axiom,
! [X3] :
( ~ 'LE'(f(suc(suc(X3))),s('0'))
| 'LE'(f(X3),'0')
| 'E'('0',f(suc(suc(X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
fof(f58,plain,
! [X1] :
( ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(X1)) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f57,plain,
! [X1] :
( ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(X1)) ),
inference(resolution,[],[f34,f35]) ).
fof(f35,plain,
! [X6] :
( 'E'(f(X6),f(suc(X6)))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X6)) ),
inference(subsumption_resolution,[],[f15,f20]) ).
fof(f20,axiom,
! [X8,X6,X7] :
( ~ iLEQ(suc(X8),suc(X7))
| 'E'(f(X8),f(suc(X8)))
| ~ 'E'('0',f(X6))
| ~ 'E'('0',f(X8))
| ~ 'E'('0',f(suc(X6)))
| 'E'(f(X7),f(suc(X7)))
| ~ iLEQ(suc(X6),suc(X8))
| ~ 'E'('0',f(suc(X7)))
| 'E'(f(X6),f(suc(X6)))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f15,axiom,
! [X6] :
( iLEQ(suc(X6),suc(X6))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(X6))
| 'E'(f(X6),f(suc(X6))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_109) ).
fof(f34,plain,
! [X6] :
( ~ 'E'(f(X6),f(suc(X6)))
| ~ 'E'('0',f(suc(suc(X6))))
| ~ 'E'('0',f(X6))
| ~ 'E'('0',f(suc(X6))) ),
inference(subsumption_resolution,[],[f22,f18]) ).
fof(f18,axiom,
! [X8,X6,X7] :
( ~ 'E'('0',f(suc(suc(X7))))
| ~ 'E'('0',f(suc(suc(X8))))
| ~ 'E'(f(X7),f(suc(X7)))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'(f(X8),f(suc(X8)))
| ~ 'E'('0',f(suc(X8)))
| ~ 'E'('0',f(X7))
| ~ 'E'('0',f(X8))
| ~ 'E'(f(X6),f(suc(X6)))
| ~ 'E'('0',f(X6))
| ~ 'E'('0',f(suc(X7)))
| ~ 'E'('0',f(suc(suc(X6))))
| ~ iLEQ(suc(X6),suc(X8))
| ~ iLEQ(suc(X8),suc(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_204) ).
fof(f22,axiom,
! [X6] :
( ~ 'E'(f(X6),f(suc(X6)))
| ~ 'E'('0',f(suc(X6)))
| ~ 'E'('0',f(suc(suc(X6))))
| ~ 'E'('0',f(X6))
| iLEQ(suc(X6),suc(X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_148) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO661-1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 23:12:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.53 % (26760)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)
% 0.21/0.53 % (26770)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (26762)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (26769)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (26771)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (26777)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (26768)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (26781)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.55 % (26758)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)
% 0.21/0.55 % (26765)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (26766)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (26774)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (26766)Instruction limit reached!
% 0.21/0.55 % (26766)------------------------------
% 0.21/0.55 % (26766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (26766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (26766)Termination reason: Unknown
% 0.21/0.55 % (26766)Termination phase: Blocked clause elimination
% 0.21/0.55
% 0.21/0.55 % (26766)Memory used [KB]: 895
% 0.21/0.55 % (26766)Time elapsed: 0.003 s
% 0.21/0.55 % (26766)Instructions burned: 4 (million)
% 0.21/0.55 % (26766)------------------------------
% 0.21/0.55 % (26766)------------------------------
% 0.21/0.55 % (26780)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)
% 0.21/0.55 % (26785)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55 % (26765)Instruction limit reached!
% 0.21/0.55 % (26765)------------------------------
% 0.21/0.55 % (26765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (26765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (26765)Termination reason: Unknown
% 0.21/0.55 % (26765)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (26765)Memory used [KB]: 5500
% 0.21/0.55 % (26765)Time elapsed: 0.106 s
% 0.21/0.55 % (26765)Instructions burned: 8 (million)
% 0.21/0.55 % (26765)------------------------------
% 0.21/0.55 % (26765)------------------------------
% 0.21/0.55 % (26785)First to succeed.
% 0.21/0.55 % (26785)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (26785)------------------------------
% 0.21/0.55 % (26785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (26785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (26785)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (26785)Memory used [KB]: 1023
% 0.21/0.55 % (26785)Time elapsed: 0.135 s
% 0.21/0.55 % (26785)Instructions burned: 5 (million)
% 0.21/0.55 % (26785)------------------------------
% 0.21/0.55 % (26785)------------------------------
% 0.21/0.55 % (26757)Success in time 0.195 s
%------------------------------------------------------------------------------