TSTP Solution File: SET468-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET468-6 : 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 : 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 18:24:45 EDT 2022
% Result : Unsatisfiable 2.90s 0.77s
% Output : Refutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 53 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 22 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f753,plain,
$false,
inference(resolution,[],[f744,f498]) ).
fof(f498,plain,
member(first(not_subclass_element(sF0,identity_relation)),null_class),
inference(resolution,[],[f496,f118]) ).
fof(f118,plain,
! [X1] : subclass(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| subclass(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_implies_subclass2) ).
fof(f496,plain,
! [X0] :
( ~ subclass(null_class,X0)
| member(first(not_subclass_element(sF0,identity_relation)),X0) ),
inference(subsumption_resolution,[],[f495,f120]) ).
fof(f120,plain,
~ subclass(sF0,identity_relation),
inference(definition_folding,[],[f114,f119]) ).
fof(f119,plain,
cross_product(x,x) = sF0,
introduced(function_definition,[]) ).
fof(f114,axiom,
~ subclass(cross_product(x,x),identity_relation),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sets_with_one_member2_2) ).
fof(f495,plain,
! [X0] :
( subclass(sF0,identity_relation)
| ~ subclass(null_class,X0)
| member(first(not_subclass_element(sF0,identity_relation)),X0) ),
inference(resolution,[],[f475,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f475,plain,
! [X0] :
( ~ member(not_subclass_element(sF0,identity_relation),sF0)
| ~ subclass(null_class,X0)
| member(first(not_subclass_element(sF0,identity_relation)),X0) ),
inference(resolution,[],[f462,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,X1)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f462,plain,
( member(first(not_subclass_element(sF0,identity_relation)),null_class)
| ~ member(not_subclass_element(sF0,identity_relation),sF0) ),
inference(superposition,[],[f222,f442]) ).
fof(f442,plain,
not_subclass_element(sF0,identity_relation) = ordered_pair(first(not_subclass_element(sF0,identity_relation)),second(not_subclass_element(sF0,identity_relation))),
inference(resolution,[],[f343,f120]) ).
fof(f343,plain,
! [X0] :
( subclass(sF0,X0)
| not_subclass_element(sF0,X0) = ordered_pair(first(not_subclass_element(sF0,X0)),second(not_subclass_element(sF0,X0))) ),
inference(resolution,[],[f342,f2]) ).
fof(f342,plain,
! [X0] :
( ~ member(X0,sF0)
| ordered_pair(first(X0),second(X0)) = X0 ),
inference(superposition,[],[f17,f122]) ).
fof(f122,plain,
sF0 = cross_product(null_class,null_class),
inference(forward_demodulation,[],[f119,f113]) ).
fof(f113,axiom,
null_class = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sets_with_one_member2_1) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| ordered_pair(first(X4),second(X4)) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f222,plain,
! [X0,X1] :
( ~ member(ordered_pair(X0,X1),sF0)
| member(X0,null_class) ),
inference(superposition,[],[f14,f122]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f744,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f735]) ).
fof(f735,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f677]) ).
fof(f677,plain,
null_class = complement(null_class),
inference(resolution,[],[f528,f498]) ).
fof(f528,plain,
! [X11] :
( ~ member(first(not_subclass_element(sF0,identity_relation)),X11)
| null_class = complement(X11) ),
inference(resolution,[],[f513,f24]) ).
fof(f513,plain,
! [X1] :
( member(first(not_subclass_element(sF0,identity_relation)),X1)
| null_class = X1 ),
inference(resolution,[],[f192,f498]) ).
fof(f192,plain,
! [X4,X5] :
( ~ member(X5,null_class)
| null_class = X4
| member(X5,X4) ),
inference(superposition,[],[f21,f67]) ).
fof(f67,axiom,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET468-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % 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 : n019.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 13:55:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (12964)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.57 % (12982)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)
% 1.50/0.57 % (12961)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)
% 1.85/0.59 % (12976)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)
% 1.85/0.59 % (12973)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.60 % (12960)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)
% 1.85/0.60 % (12970)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.85/0.61 % (12965)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)
% 1.85/0.62 % (12963)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)
% 1.85/0.62 % (12983)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)
% 1.85/0.63 % (12988)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.85/0.63 % (12975)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)
% 1.85/0.63 % (12962)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)
% 1.85/0.63 % (12989)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)
% 1.85/0.64 % (12966)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)
% 1.85/0.64 % (12964)Instruction limit reached!
% 1.85/0.64 % (12964)------------------------------
% 1.85/0.64 % (12964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64 % (12968)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.85/0.64 % (12986)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)
% 1.85/0.64 % (12984)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.85/0.64 % (12967)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.85/0.64 % (12968)Instruction limit reached!
% 1.85/0.64 % (12968)------------------------------
% 1.85/0.64 % (12968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.64 % (12968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.64 % (12968)Termination reason: Unknown
% 1.85/0.64 % (12968)Termination phase: Function definition elimination
% 1.85/0.64
% 1.85/0.64 % (12968)Memory used [KB]: 895
% 1.85/0.64 % (12968)Time elapsed: 0.004 s
% 1.85/0.64 % (12968)Instructions burned: 2 (million)
% 1.85/0.64 % (12968)------------------------------
% 1.85/0.64 % (12968)------------------------------
% 1.85/0.64 % (12987)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)
% 1.85/0.65 % (12967)Instruction limit reached!
% 1.85/0.65 % (12967)------------------------------
% 1.85/0.65 % (12967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.85/0.65 % (12967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.65 % (12967)Termination reason: Unknown
% 1.85/0.65 % (12967)Termination phase: Saturation
% 1.85/0.65
% 1.85/0.65 % (12967)Memory used [KB]: 5628
% 1.85/0.65 % (12967)Time elapsed: 0.209 s
% 1.85/0.65 % (12967)Instructions burned: 8 (million)
% 1.85/0.65 % (12967)------------------------------
% 1.85/0.65 % (12967)------------------------------
% 1.85/0.65 % (12981)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.85/0.65 % (12978)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.65 % (12979)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)
% 1.85/0.65 % (12972)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.85/0.66 % (12964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.85/0.66 % (12964)Termination reason: Unknown
% 1.85/0.66 % (12964)Termination phase: Saturation
% 1.85/0.66
% 1.85/0.66 % (12964)Memory used [KB]: 6268
% 1.85/0.66 % (12964)Time elapsed: 0.198 s
% 1.85/0.66 % (12964)Instructions burned: 51 (million)
% 1.85/0.66 % (12964)------------------------------
% 1.85/0.66 % (12964)------------------------------
% 1.85/0.66 % (12980)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)
% 2.39/0.66 % (12969)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)
% 2.39/0.66 % (12977)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.39/0.67 % (12974)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)
% 2.39/0.67 % (12985)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.39/0.67 % (12961)Refutation not found, incomplete strategy% (12961)------------------------------
% 2.39/0.67 % (12961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67 % (12961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (12961)Termination reason: Refutation not found, incomplete strategy
% 2.39/0.67
% 2.39/0.67 % (12961)Memory used [KB]: 6524
% 2.39/0.67 % (12961)Time elapsed: 0.210 s
% 2.39/0.67 % (12961)Instructions burned: 46 (million)
% 2.39/0.67 % (12961)------------------------------
% 2.39/0.67 % (12961)------------------------------
% 2.48/0.68 % (12971)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)
% 2.48/0.71 % (12966)Instruction limit reached!
% 2.48/0.71 % (12966)------------------------------
% 2.48/0.71 % (12966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.71 % (12970)Instruction limit reached!
% 2.72/0.71 % (12970)------------------------------
% 2.72/0.71 % (12970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.71 % (12970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.71 % (12970)Termination reason: Unknown
% 2.72/0.71 % (12970)Termination phase: Saturation
% 2.72/0.71
% 2.72/0.71 % (12970)Memory used [KB]: 6780
% 2.72/0.71 % (12970)Time elapsed: 0.249 s
% 2.72/0.71 % (12970)Instructions burned: 50 (million)
% 2.72/0.71 % (12970)------------------------------
% 2.72/0.71 % (12970)------------------------------
% 2.72/0.72 % (12966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.72 % (12966)Termination reason: Unknown
% 2.72/0.72 % (12966)Termination phase: Finite model building preprocessing
% 2.72/0.72
% 2.72/0.72 % (12966)Memory used [KB]: 1663
% 2.72/0.72 % (12966)Time elapsed: 0.034 s
% 2.72/0.72 % (12966)Instructions burned: 52 (million)
% 2.72/0.72 % (12966)------------------------------
% 2.72/0.72 % (12966)------------------------------
% 2.90/0.77 % (12962)Instruction limit reached!
% 2.90/0.77 % (12962)------------------------------
% 2.90/0.77 % (12962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.77 % (12962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.77 % (12962)Termination reason: Unknown
% 2.90/0.77 % (12962)Termination phase: Saturation
% 2.90/0.77
% 2.90/0.77 % (12962)Memory used [KB]: 1791
% 2.90/0.77 % (12962)Time elapsed: 0.315 s
% 2.90/0.77 % (12962)Instructions burned: 37 (million)
% 2.90/0.77 % (12962)------------------------------
% 2.90/0.77 % (12962)------------------------------
% 2.90/0.77 % (12965)Instruction limit reached!
% 2.90/0.77 % (12965)------------------------------
% 2.90/0.77 % (12965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.77 % (12965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.77 % (12965)Termination reason: Unknown
% 2.90/0.77 % (12965)Termination phase: Saturation
% 2.90/0.77
% 2.90/0.77 % (12965)Memory used [KB]: 6140
% 2.90/0.77 % (12965)Time elapsed: 0.342 s
% 2.90/0.77 % (12965)Instructions burned: 48 (million)
% 2.90/0.77 % (12965)------------------------------
% 2.90/0.77 % (12965)------------------------------
% 2.90/0.77 % (12975)First to succeed.
% 2.90/0.77 % (12975)Refutation found. Thanks to Tanya!
% 2.90/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.90/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.90/0.77 % (12975)------------------------------
% 2.90/0.77 % (12975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.90/0.77 % (12975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.90/0.77 % (12975)Termination reason: Refutation
% 2.90/0.77
% 2.90/0.77 % (12975)Memory used [KB]: 1791
% 2.90/0.77 % (12975)Time elapsed: 0.281 s
% 2.90/0.77 % (12975)Instructions burned: 47 (million)
% 2.90/0.77 % (12975)------------------------------
% 2.90/0.77 % (12975)------------------------------
% 2.90/0.77 % (12959)Success in time 0.412 s
%------------------------------------------------------------------------------