TSTP Solution File: SET020-6 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET020-6 : 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 : n029.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 18:23:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.59s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 58 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 24 ~; 24 |; 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f783,plain,
$false,
inference(subsumption_resolution,[],[f781,f101]) ).
fof(f101,plain,
u != sF2,
inference(definition_folding,[],[f93,f100,f97]) ).
fof(f97,plain,
ordered_pair(u,v) = sF0,
introduced(function_definition,[]) ).
fof(f100,plain,
sF2 = first(sF0),
introduced(function_definition,[]) ).
fof(f93,axiom,
u != first(ordered_pair(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unique_1st_and_2nd_in_pair_of_sets1_2) ).
fof(f781,plain,
u = sF2,
inference(resolution,[],[f739,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ member(X1,singleton(X0))
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f255]) ).
fof(f255,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(f739,plain,
member(sF2,singleton(u)),
inference(subsumption_resolution,[],[f729,f285]) ).
fof(f285,plain,
member(u,universal_class),
inference(subsumption_resolution,[],[f284,f99]) ).
fof(f99,plain,
member(sF0,sF1),
inference(definition_folding,[],[f92,f98,f97]) ).
fof(f98,plain,
cross_product(universal_class,universal_class) = sF1,
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_sets1_1) ).
fof(f284,plain,
( ~ member(sF0,sF1)
| member(u,universal_class) ),
inference(superposition,[],[f201,f98]) ).
fof(f201,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(f729,plain,
( ~ member(u,universal_class)
| member(sF2,singleton(u)) ),
inference(resolution,[],[f714,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(f714,plain,
! [X0] :
( ~ member(u,X0)
| member(sF2,X0) ),
inference(resolution,[],[f694,f301]) ).
fof(f301,plain,
member(v,universal_class),
inference(subsumption_resolution,[],[f300,f99]) ).
fof(f300,plain,
( ~ member(sF0,sF1)
| member(v,universal_class) ),
inference(superposition,[],[f205,f98]) ).
fof(f205,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(f694,plain,
! [X2,X3] :
( ~ member(v,X3)
| member(sF2,X2)
| ~ member(u,X2) ),
inference(resolution,[],[f331,f571]) ).
fof(f571,plain,
! [X0,X1] :
( ~ member(sF0,cross_product(X0,X1))
| member(sF2,X0) ),
inference(superposition,[],[f14,f570]) ).
fof(f570,plain,
sF0 = ordered_pair(sF2,second(sF0)),
inference(forward_demodulation,[],[f569,f100]) ).
fof(f569,plain,
sF0 = ordered_pair(first(sF0),second(sF0)),
inference(resolution,[],[f311,f99]) ).
fof(f311,plain,
! [X0] :
( ~ member(X0,sF1)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[],[f17,f98]) ).
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) ).
fof(f331,plain,
! [X0,X1] :
( member(sF0,cross_product(X0,X1))
| ~ member(u,X0)
| ~ member(v,X1) ),
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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET020-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.32 % Computer : n029.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue Aug 30 13:05:12 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.19/0.43 % (24364)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)
% 0.19/0.46 % (24355)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)
% 0.19/0.48 % (24373)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)
% 0.19/0.49 % (24369)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)
% 0.19/0.50 % (24365)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (24381)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)
% 0.19/0.50 % (24377)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)
% 0.19/0.50 % (24363)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (24358)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)
% 0.19/0.50 % (24357)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)
% 0.19/0.51 % (24359)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (24353)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)
% 0.19/0.51 % (24383)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)
% 0.19/0.51 % (24352)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)
% 0.19/0.51 % (24370)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)
% 0.19/0.51 % (24356)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (24366)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 % (24359)Instruction limit reached!
% 0.19/0.51 % (24359)------------------------------
% 0.19/0.51 % (24359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (24359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (24359)Termination reason: Unknown
% 0.19/0.51 % (24359)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (24359)Memory used [KB]: 5500
% 0.19/0.51 % (24359)Time elapsed: 0.087 s
% 0.19/0.51 % (24359)Instructions burned: 7 (million)
% 0.19/0.51 % (24359)------------------------------
% 0.19/0.51 % (24359)------------------------------
% 0.19/0.52 % (24376)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)
% 0.19/0.52 % (24379)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (24354)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)
% 0.19/0.52 % (24382)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (24375)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (24378)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (24380)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)
% 0.19/0.53 % (24374)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)
% 0.19/0.53 % (24361)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)
% 0.19/0.53 % (24367)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)
% 0.19/0.53 % (24371)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.54 % (24372)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (24360)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (24360)Instruction limit reached!
% 0.19/0.54 % (24360)------------------------------
% 0.19/0.54 % (24360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24360)Termination reason: Unknown
% 0.19/0.54 % (24360)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (24360)Memory used [KB]: 1023
% 0.19/0.54 % (24360)Time elapsed: 0.003 s
% 0.19/0.54 % (24360)Instructions burned: 2 (million)
% 0.19/0.54 % (24360)------------------------------
% 0.19/0.54 % (24360)------------------------------
% 0.19/0.56 % (24355)Instruction limit reached!
% 0.19/0.56 % (24355)------------------------------
% 0.19/0.56 % (24355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24355)Termination reason: Unknown
% 0.19/0.56 % (24355)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (24355)Memory used [KB]: 6652
% 0.19/0.56 % (24355)Time elapsed: 0.169 s
% 0.19/0.56 % (24355)Instructions burned: 52 (million)
% 0.19/0.56 % (24355)------------------------------
% 0.19/0.56 % (24355)------------------------------
% 0.19/0.56 % (24353)Refutation not found, incomplete strategy% (24353)------------------------------
% 0.19/0.56 % (24353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24353)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (24353)Memory used [KB]: 6140
% 0.19/0.56 % (24353)Time elapsed: 0.176 s
% 0.19/0.56 % (24353)Instructions burned: 31 (million)
% 0.19/0.56 % (24353)------------------------------
% 0.19/0.56 % (24353)------------------------------
% 0.19/0.57 % (24381)First to succeed.
% 0.19/0.57 % (24358)Instruction limit reached!
% 0.19/0.57 % (24358)------------------------------
% 0.19/0.57 % (24358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24358)Termination reason: Unknown
% 0.19/0.57 % (24358)Termination phase: Finite model building preprocessing
% 0.19/0.57
% 0.19/0.57 % (24358)Memory used [KB]: 1663
% 0.19/0.57 % (24358)Time elapsed: 0.022 s
% 0.19/0.57 % (24358)Instructions burned: 52 (million)
% 0.19/0.57 % (24358)------------------------------
% 0.19/0.57 % (24358)------------------------------
% 0.19/0.58 % (24354)Instruction limit reached!
% 0.19/0.58 % (24354)------------------------------
% 0.19/0.58 % (24354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (24354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (24354)Termination reason: Unknown
% 0.19/0.58 % (24354)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (24354)Memory used [KB]: 1918
% 0.19/0.58 % (24354)Time elapsed: 0.177 s
% 0.19/0.58 % (24354)Instructions burned: 38 (million)
% 0.19/0.58 % (24354)------------------------------
% 0.19/0.58 % (24354)------------------------------
% 0.19/0.58 % (24356)Instruction limit reached!
% 0.19/0.58 % (24356)------------------------------
% 0.19/0.58 % (24356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (24356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (24356)Termination reason: Unknown
% 0.19/0.58 % (24356)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (24356)Memory used [KB]: 6780
% 0.19/0.58 % (24356)Time elapsed: 0.173 s
% 0.19/0.58 % (24356)Instructions burned: 51 (million)
% 0.19/0.58 % (24356)------------------------------
% 0.19/0.58 % (24356)------------------------------
% 0.19/0.59 % (24371)Instruction limit reached!
% 0.19/0.59 % (24371)------------------------------
% 0.19/0.59 % (24371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (24371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (24371)Termination reason: Unknown
% 0.19/0.59 % (24371)Termination phase: Finite model building preprocessing
% 0.19/0.59
% 0.19/0.59 % (24371)Memory used [KB]: 1535
% 0.19/0.59 % (24371)Time elapsed: 0.030 s
% 0.19/0.59 % (24371)Instructions burned: 59 (million)
% 0.19/0.59 % (24371)------------------------------
% 0.19/0.59 % (24371)------------------------------
% 0.19/0.59 % (24381)Refutation found. Thanks to Tanya!
% 0.19/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.59 % (24381)------------------------------
% 0.19/0.59 % (24381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (24381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (24381)Termination reason: Refutation
% 0.19/0.59
% 0.19/0.59 % (24381)Memory used [KB]: 1791
% 0.19/0.59 % (24381)Time elapsed: 0.180 s
% 0.19/0.59 % (24381)Instructions burned: 41 (million)
% 0.19/0.59 % (24381)------------------------------
% 0.19/0.59 % (24381)------------------------------
% 0.19/0.59 % (24345)Success in time 0.252 s
%------------------------------------------------------------------------------