TSTP Solution File: SET021-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET021-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : 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 : 300s
% DateTime : Wed Aug 31 18:23:12 EDT 2022
% Result : Unsatisfiable 2.09s 0.64s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 59 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f920,plain,
$false,
inference(subsumption_resolution,[],[f918,f99]) ).
fof(f99,plain,
v != sF1,
inference(definition_folding,[],[f93,f98,f97]) ).
fof(f97,plain,
ordered_pair(u,v) = sF0,
introduced(function_definition,[]) ).
fof(f98,plain,
second(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f93,axiom,
v != second(ordered_pair(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_2) ).
fof(f918,plain,
v = sF1,
inference(resolution,[],[f905,f258]) ).
fof(f258,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f257]) ).
fof(f257,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1
| X0 = X1 ),
inference(superposition,[],[f8,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f905,plain,
member(sF1,singleton(v)),
inference(resolution,[],[f899,f303]) ).
fof(f303,plain,
member(u,universal_class),
inference(subsumption_resolution,[],[f302,f101]) ).
fof(f101,plain,
member(sF0,sF2),
inference(definition_folding,[],[f92,f100,f97]) ).
fof(f100,plain,
cross_product(universal_class,universal_class) = sF2,
introduced(function_definition,[]) ).
fof(f92,axiom,
member(ordered_pair(u,v),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets2_1) ).
fof(f302,plain,
( member(u,universal_class)
| ~ member(sF0,sF2) ),
inference(superposition,[],[f190,f100]) ).
fof(f190,plain,
! [X0,X1] :
( ~ member(sF0,cross_product(X0,X1))
| member(u,X0) ),
inference(superposition,[],[f14,f97]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f899,plain,
! [X5] :
( ~ member(u,X5)
| member(sF1,singleton(v)) ),
inference(subsumption_resolution,[],[f888,f310]) ).
fof(f310,plain,
member(v,universal_class),
inference(subsumption_resolution,[],[f309,f101]) ).
fof(f309,plain,
( ~ member(sF0,sF2)
| member(v,universal_class) ),
inference(superposition,[],[f197,f100]) ).
fof(f197,plain,
! [X0,X1] :
( ~ member(sF0,cross_product(X0,X1))
| member(v,X1) ),
inference(superposition,[],[f15,f97]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f888,plain,
! [X5] :
( member(sF1,singleton(v))
| ~ member(v,universal_class)
| ~ member(u,X5) ),
inference(resolution,[],[f787,f123]) ).
fof(f123,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f9,f12]) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f787,plain,
! [X0,X1] :
( ~ member(v,X0)
| member(sF1,X0)
| ~ member(u,X1) ),
inference(resolution,[],[f706,f349]) ).
fof(f349,plain,
! [X0,X1] :
( member(sF0,cross_product(X0,X1))
| ~ member(v,X1)
| ~ member(u,X0) ),
inference(superposition,[],[f16,f97]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X2,X3),cross_product(X0,X1))
| ~ member(X3,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f706,plain,
! [X2,X3] :
( ~ member(sF0,cross_product(X2,X3))
| member(sF1,X3) ),
inference(superposition,[],[f15,f642]) ).
fof(f642,plain,
sF0 = ordered_pair(first(sF0),sF1),
inference(forward_demodulation,[],[f641,f98]) ).
fof(f641,plain,
sF0 = ordered_pair(first(sF0),second(sF0)),
inference(resolution,[],[f301,f101]) ).
fof(f301,plain,
! [X0] :
( ~ member(X0,sF2)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[],[f17,f100]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| ordered_pair(first(X4),second(X4)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET021-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % 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 : 300
% 0.13/0.34 % DateTime : Tue Aug 30 12:52:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (20028)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.48 % (20045)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.49 % (20022)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)
% 0.19/0.49 % (20020)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (20038)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)
% 0.19/0.50 % (20042)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (20029)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (20025)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)
% 0.19/0.51 % (20037)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (20032)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)
% 1.33/0.52 % (20016)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)
% 1.33/0.52 % (20039)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)
% 1.33/0.52 % (20026)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.53 % (20021)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)
% 1.33/0.53 % (20034)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.53 % (20033)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.33/0.53 % (20017)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)
% 1.33/0.53 % (20019)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)
% 1.33/0.53 % (20027)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)
% 1.33/0.54 % (20041)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.45/0.54 % (20024)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.45/0.54 % (20023)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.45/0.54 % (20024)Instruction limit reached!
% 1.45/0.54 % (20024)------------------------------
% 1.45/0.54 % (20024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (20024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (20024)Termination reason: Unknown
% 1.45/0.54 % (20024)Termination phase: Property scanning
% 1.45/0.54
% 1.45/0.54 % (20024)Memory used [KB]: 1023
% 1.45/0.54 % (20024)Time elapsed: 0.003 s
% 1.45/0.54 % (20024)Instructions burned: 4 (million)
% 1.45/0.54 % (20024)------------------------------
% 1.45/0.54 % (20024)------------------------------
% 1.45/0.54 % (20047)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)
% 1.45/0.54 % (20044)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)
% 1.45/0.54 % (20018)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)
% 1.45/0.55 % (20043)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)
% 1.45/0.55 % (20036)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)
% 1.45/0.55 % (20020)Instruction limit reached!
% 1.45/0.55 % (20020)------------------------------
% 1.45/0.55 % (20020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.55 % (20020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.55 % (20020)Termination reason: Unknown
% 1.45/0.55 % (20020)Termination phase: Saturation
% 1.45/0.55
% 1.45/0.55 % (20020)Memory used [KB]: 6780
% 1.45/0.55 % (20020)Time elapsed: 0.153 s
% 1.45/0.55 % (20020)Instructions burned: 53 (million)
% 1.45/0.55 % (20020)------------------------------
% 1.45/0.55 % (20020)------------------------------
% 1.45/0.55 % (20035)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)
% 1.45/0.56 % (20030)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)
% 1.45/0.56 % (20022)Instruction limit reached!
% 1.45/0.56 % (20022)------------------------------
% 1.45/0.56 % (20022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (20022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (20022)Termination reason: Unknown
% 1.45/0.56 % (20022)Termination phase: Finite model building preprocessing
% 1.45/0.56
% 1.45/0.56 % (20022)Memory used [KB]: 1535
% 1.45/0.56 % (20022)Time elapsed: 0.026 s
% 1.45/0.56 % (20022)Instructions burned: 51 (million)
% 1.45/0.56 % (20022)------------------------------
% 1.45/0.56 % (20022)------------------------------
% 1.45/0.56 % (20031)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)
% 1.45/0.56 % (20023)Instruction limit reached!
% 1.45/0.56 % (20023)------------------------------
% 1.45/0.56 % (20023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (20023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (20023)Termination reason: Unknown
% 1.45/0.56 % (20023)Termination phase: Saturation
% 1.45/0.56
% 1.45/0.56 % (20023)Memory used [KB]: 5628
% 1.45/0.56 % (20023)Time elapsed: 0.148 s
% 1.45/0.56 % (20023)Instructions burned: 8 (million)
% 1.45/0.56 % (20023)------------------------------
% 1.45/0.56 % (20023)------------------------------
% 1.45/0.58 % (20025)Instruction limit reached!
% 1.45/0.58 % (20025)------------------------------
% 1.45/0.58 % (20025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.58 % (20025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.58 % (20025)Termination reason: Unknown
% 1.45/0.58 % (20025)Termination phase: Saturation
% 1.45/0.58
% 1.45/0.58 % (20025)Memory used [KB]: 1918
% 1.45/0.58 % (20025)Time elapsed: 0.152 s
% 1.45/0.58 % (20025)Instructions burned: 52 (million)
% 1.45/0.58 % (20025)------------------------------
% 1.45/0.58 % (20025)------------------------------
% 1.45/0.59 % (20017)Refutation not found, incomplete strategy% (20017)------------------------------
% 1.45/0.59 % (20017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.59 % (20017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.59 % (20017)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.59
% 1.45/0.59 % (20017)Memory used [KB]: 6524
% 1.45/0.59 % (20017)Time elapsed: 0.185 s
% 1.45/0.59 % (20017)Instructions burned: 41 (million)
% 1.45/0.59 % (20017)------------------------------
% 1.45/0.59 % (20017)------------------------------
% 1.45/0.61 % (20026)Instruction limit reached!
% 1.45/0.61 % (20026)------------------------------
% 1.45/0.61 % (20026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (20018)Instruction limit reached!
% 1.45/0.61 % (20018)------------------------------
% 1.45/0.61 % (20018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (20018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (20018)Termination reason: Unknown
% 1.45/0.61 % (20018)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (20018)Memory used [KB]: 1918
% 1.45/0.61 % (20018)Time elapsed: 0.185 s
% 1.45/0.61 % (20018)Instructions burned: 38 (million)
% 1.45/0.61 % (20018)------------------------------
% 1.45/0.61 % (20018)------------------------------
% 1.45/0.61 % (20026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (20026)Termination reason: Unknown
% 1.45/0.61 % (20026)Termination phase: Saturation
% 1.45/0.61
% 1.45/0.61 % (20026)Memory used [KB]: 6652
% 1.45/0.61 % (20026)Time elapsed: 0.203 s
% 1.45/0.61 % (20026)Instructions burned: 50 (million)
% 1.45/0.61 % (20026)------------------------------
% 1.45/0.61 % (20026)------------------------------
% 1.45/0.61 % (20033)Instruction limit reached!
% 1.45/0.61 % (20033)------------------------------
% 1.45/0.61 % (20033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.61 % (20033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.61 % (20033)Termination reason: Unknown
% 1.45/0.61 % (20033)Termination phase: Finite model building preprocessing
% 1.45/0.61
% 1.45/0.61 % (20033)Memory used [KB]: 1663
% 1.45/0.61 % (20033)Time elapsed: 0.026 s
% 1.45/0.61 % (20033)Instructions burned: 59 (million)
% 1.45/0.61 % (20033)------------------------------
% 1.45/0.61 % (20033)------------------------------
% 2.09/0.63 % (20044)First to succeed.
% 2.09/0.64 % (20044)Refutation found. Thanks to Tanya!
% 2.09/0.64 % SZS status Unsatisfiable for theBenchmark
% 2.09/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.64 % (20044)------------------------------
% 2.09/0.64 % (20044)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.64 % (20044)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.64 % (20044)Termination reason: Refutation
% 2.09/0.64
% 2.09/0.64 % (20044)Memory used [KB]: 1918
% 2.09/0.64 % (20044)Time elapsed: 0.234 s
% 2.09/0.64 % (20044)Instructions burned: 48 (million)
% 2.09/0.64 % (20044)------------------------------
% 2.09/0.64 % (20044)------------------------------
% 2.09/0.64 % (20010)Success in time 0.281 s
%------------------------------------------------------------------------------