TSTP Solution File: SYO655-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYO655-1 : 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 : n023.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 19:51:53 EDT 2022
% Result : Unsatisfiable 0.17s 0.61s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 4 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 127 ( 60 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 7 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 : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(resolution,[],[f57,f11]) ).
fof(f11,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_269) ).
fof(f57,plain,
! [X0] : 'LE'(f(X0),'0'),
inference(subsumption_resolution,[],[f56,f48]) ).
fof(f48,plain,
! [X5] :
( 'LE'(f(X5),'0')
| 'E'('0',f(X5)) ),
inference(subsumption_resolution,[],[f37,f35]) ).
fof(f35,axiom,
! [X6] : 'LE'(f(X6),s('0')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_497) ).
fof(f37,axiom,
! [X5] :
( 'LE'(f(X5),'0')
| 'E'('0',f(X5))
| ~ 'LE'(f(X5),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_513) ).
fof(f56,plain,
! [X0] :
( 'LE'(f(X0),'0')
| ~ 'E'('0',f(X0)) ),
inference(subsumption_resolution,[],[f54,f47]) ).
fof(f47,plain,
! [X5] :
( 'E'('0',f(suc(X5)))
| 'LE'(f(X5),'0') ),
inference(subsumption_resolution,[],[f9,f35]) ).
fof(f9,axiom,
! [X5] :
( 'E'('0',f(suc(X5)))
| 'LE'(f(X5),'0')
| ~ 'LE'(f(suc(X5)),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f54,plain,
! [X0] :
( ~ 'E'('0',f(suc(X0)))
| 'LE'(f(X0),'0')
| ~ 'E'('0',f(X0)) ),
inference(resolution,[],[f45,f46]) ).
fof(f46,plain,
! [X5] :
( 'E'('0',f(suc(suc(X5))))
| 'LE'(f(X5),'0') ),
inference(subsumption_resolution,[],[f34,f35]) ).
fof(f34,axiom,
! [X5] :
( 'E'('0',f(suc(suc(X5))))
| ~ 'LE'(f(suc(suc(X5))),s('0'))
| 'LE'(f(X5),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_72) ).
fof(f45,plain,
! [X2] :
( ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2)) ),
inference(subsumption_resolution,[],[f44,f43]) ).
fof(f43,plain,
! [X2] :
( ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| 'E'(f(X2),f(suc(X2))) ),
inference(subsumption_resolution,[],[f23,f16]) ).
fof(f16,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'('0',f(suc(X4)))
| ~ 'E'('0',f(X4))
| 'E'(f(X2),f(suc(X2)))
| ~ iLEQ(suc(X3),suc(X0))
| ~ 'E'('0',f(X3))
| ~ 'E'('0',f(suc(X1)))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X1))
| 'E'(f(X0),f(suc(X0)))
| 'E'(f(X4),f(suc(X4)))
| ~ iLEQ(suc(X2),suc(X3))
| 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(X0))
| 'E'(f(X3),f(suc(X3)))
| ~ iLEQ(suc(X1),suc(X4))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_209) ).
fof(f23,axiom,
! [X2] :
( iLEQ(suc(X2),suc(X2))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X2))
| 'E'(f(X2),f(suc(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_84) ).
fof(f44,plain,
! [X2] :
( ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(X2))
| ~ 'E'('0',f(suc(X2))) ),
inference(subsumption_resolution,[],[f22,f15]) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X4] :
( ~ 'E'('0',f(suc(X1)))
| ~ 'E'(f(X3),f(suc(X3)))
| ~ 'E'('0',f(suc(X3)))
| ~ 'E'('0',f(suc(suc(X3))))
| ~ iLEQ(suc(X2),suc(X3))
| ~ 'E'('0',f(suc(suc(X4))))
| ~ 'E'('0',f(suc(suc(X1))))
| ~ 'E'('0',f(suc(X4)))
| ~ 'E'(f(X0),f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X0))))
| ~ 'E'('0',f(X0))
| ~ iLEQ(suc(X1),suc(X4))
| ~ 'E'('0',f(suc(X2)))
| ~ 'E'('0',f(X4))
| ~ 'E'('0',f(X1))
| ~ 'E'('0',f(suc(X0)))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ iLEQ(suc(X0),suc(X1))
| ~ 'E'('0',f(X3))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'(f(X4),f(suc(X4)))
| ~ 'E'(f(X1),f(suc(X1)))
| ~ 'E'('0',f(X2))
| ~ iLEQ(suc(X3),suc(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_125) ).
fof(f22,axiom,
! [X2] :
( ~ 'E'('0',f(X2))
| iLEQ(suc(X2),suc(X2))
| ~ 'E'('0',f(suc(suc(X2))))
| ~ 'E'(f(X2),f(suc(X2)))
| ~ 'E'('0',f(suc(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_379) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO655-1 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 23:31:49 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.49 % (29062)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)
% 0.17/0.50 % (29071)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)
% 0.17/0.50 % (29054)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (29059)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)
% 0.17/0.50 % (29063)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (29057)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (29056)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.50 % (29056)Instruction limit reached!
% 0.17/0.50 % (29056)------------------------------
% 0.17/0.50 % (29056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (29056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (29056)Termination reason: Unknown
% 0.17/0.50 % (29056)Termination phase: Blocked clause elimination
% 0.17/0.50
% 0.17/0.50 % (29056)Memory used [KB]: 1023
% 0.17/0.50 % (29056)Time elapsed: 0.003 s
% 0.17/0.50 % (29056)Instructions burned: 2 (million)
% 0.17/0.50 % (29056)------------------------------
% 0.17/0.50 % (29056)------------------------------
% 0.17/0.51 % (29058)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.51 % (29070)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)
% 0.17/0.52 % (29055)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (29061)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52 % (29048)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)
% 0.17/0.53 % (29055)Instruction limit reached!
% 0.17/0.53 % (29055)------------------------------
% 0.17/0.53 % (29055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (29055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (29055)Termination reason: Unknown
% 0.17/0.53 % (29055)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (29055)Memory used [KB]: 5500
% 0.17/0.53 % (29055)Time elapsed: 0.076 s
% 0.17/0.53 % (29055)Instructions burned: 7 (million)
% 0.17/0.53 % (29055)------------------------------
% 0.17/0.53 % (29055)------------------------------
% 0.17/0.53 % (29060)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.17/0.54 % (29051)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)
% 0.17/0.54 % (29049)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.54 % (29053)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)
% 0.17/0.55 % (29074)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)
% 0.17/0.55 % (29050)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)
% 0.17/0.55 % (29052)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.55 % (29072)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.17/0.56 % (29073)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.17/0.56 % (29075)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)
% 0.17/0.56 % (29066)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.56 % (29077)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.17/0.56 % (29054)Instruction limit reached!
% 0.17/0.56 % (29054)------------------------------
% 0.17/0.56 % (29054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.56 % (29064)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)
% 0.17/0.56 % (29067)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)
% 0.17/0.56 % (29065)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.17/0.56 % (29054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.56 % (29054)Termination reason: Unknown
% 0.17/0.56 % (29054)Termination phase: Finite model building preprocessing
% 0.17/0.56
% 0.17/0.56 % (29054)Memory used [KB]: 1535
% 0.17/0.56 % (29054)Time elapsed: 0.030 s
% 0.17/0.56 % (29054)Instructions burned: 52 (million)
% 0.17/0.56 % (29054)------------------------------
% 0.17/0.56 % (29054)------------------------------
% 0.17/0.57 % (29069)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.17/0.57 % (29062)Instruction limit reached!
% 0.17/0.57 % (29062)------------------------------
% 0.17/0.57 % (29062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.57 % (29062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.57 % (29062)Termination reason: Unknown
% 0.17/0.57 % (29062)Termination phase: Saturation
% 0.17/0.57
% 0.17/0.57 % (29062)Memory used [KB]: 6012
% 0.17/0.57 % (29062)Time elapsed: 0.036 s
% 0.17/0.57 % (29062)Instructions burned: 68 (million)
% 0.17/0.57 % (29062)------------------------------
% 0.17/0.57 % (29062)------------------------------
% 0.17/0.57 % (29076)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.17/0.57 % (29063)Instruction limit reached!
% 0.17/0.57 % (29063)------------------------------
% 0.17/0.57 % (29063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58 % (29068)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.17/0.58 TRYING [1]
% 0.17/0.58 % (29057)Instruction limit reached!
% 0.17/0.58 % (29057)------------------------------
% 0.17/0.58 % (29057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.58 % (29057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58 % (29057)Termination reason: Unknown
% 0.17/0.58 % (29057)Termination phase: Saturation
% 0.17/0.58
% 0.17/0.58 % (29057)Memory used [KB]: 1023
% 0.17/0.58 % (29057)Time elapsed: 0.026 s
% 0.17/0.58 % (29057)Instructions burned: 51 (million)
% 0.17/0.58 % (29057)------------------------------
% 0.17/0.58 % (29057)------------------------------
% 0.17/0.58 % (29063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.58 % (29063)Termination reason: Unknown
% 0.17/0.58 % (29063)Termination phase: Saturation
% 0.17/0.58
% 0.17/0.58 % (29063)Memory used [KB]: 1023
% 0.17/0.58 % (29063)Time elapsed: 0.056 s
% 0.17/0.58 % (29063)Instructions burned: 75 (million)
% 0.17/0.58 % (29063)------------------------------
% 0.17/0.58 % (29063)------------------------------
% 0.17/0.60 TRYING [2]
% 0.17/0.60 % (29049)Instruction limit reached!
% 0.17/0.60 % (29049)------------------------------
% 0.17/0.60 % (29049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.60 % (29049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.60 % (29049)Termination reason: Unknown
% 0.17/0.60 % (29049)Termination phase: Saturation
% 0.17/0.60
% 0.17/0.60 % (29049)Memory used [KB]: 5500
% 0.17/0.60 % (29049)Time elapsed: 0.022 s
% 0.17/0.60 % (29049)Instructions burned: 50 (million)
% 0.17/0.60 % (29049)------------------------------
% 0.17/0.60 % (29049)------------------------------
% 0.17/0.60 % (29051)Instruction limit reached!
% 0.17/0.60 % (29051)------------------------------
% 0.17/0.60 % (29051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.60 % (29051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.60 % (29051)Termination reason: Unknown
% 0.17/0.60 % (29051)Termination phase: Saturation
% 0.17/0.60
% 0.17/0.60 % (29051)Memory used [KB]: 5628
% 0.17/0.60 % (29051)Time elapsed: 0.215 s
% 0.17/0.60 % (29051)Instructions burned: 52 (million)
% 0.17/0.60 % (29051)------------------------------
% 0.17/0.60 % (29051)------------------------------
% 0.17/0.61 % (29050)First to succeed.
% 0.17/0.61 TRYING [3]
% 0.17/0.61 % (29050)Refutation found. Thanks to Tanya!
% 0.17/0.61 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.61 % (29050)------------------------------
% 0.17/0.61 % (29050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.61 % (29050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.61 % (29050)Termination reason: Refutation
% 0.17/0.61
% 0.17/0.61 % (29050)Memory used [KB]: 1023
% 0.17/0.61 % (29050)Time elapsed: 0.209 s
% 0.17/0.61 % (29050)Instructions burned: 25 (million)
% 0.17/0.61 % (29050)------------------------------
% 0.17/0.61 % (29050)------------------------------
% 0.17/0.61 % (29047)Success in time 0.275 s
%------------------------------------------------------------------------------