TSTP Solution File: SET244-6 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET244-6 : 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 : n009.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 18:24:16 EDT 2022
% Result : Unsatisfiable 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 46 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f291,plain,
$false,
inference(subsumption_resolution,[],[f290,f231]) ).
fof(f231,plain,
member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y)),
inference(subsumption_resolution,[],[f230,f226]) ).
fof(f226,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y)) ),
inference(resolution,[],[f223,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f223,plain,
( ~ subclass(cross_product(x,y),intersection(cross_product(x,y),universal_class))
| ~ member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f207,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f207,plain,
( ~ subclass(intersection(cross_product(x,y),universal_class),cross_product(x,y))
| ~ subclass(cross_product(x,y),intersection(cross_product(x,y),universal_class)) ),
inference(extensionality_resolution,[],[f7,f136]) ).
fof(f136,plain,
cross_product(x,y) != intersection(cross_product(x,y),universal_class),
inference(definition_unfolding,[],[f113,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f113,axiom,
restrict(universal_class,x,y) != cross_product(x,y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_restriction_with_universal_class_1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f230,plain,
( member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y))
| member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f228,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f228,plain,
( member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),intersection(cross_product(x,y),universal_class))
| member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y)) ),
inference(resolution,[],[f224,f2]) ).
fof(f224,plain,
( ~ subclass(cross_product(x,y),intersection(cross_product(x,y),universal_class))
| member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),intersection(cross_product(x,y),universal_class)) ),
inference(resolution,[],[f207,f2]) ).
fof(f290,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y)),
inference(subsumption_resolution,[],[f286,f240]) ).
fof(f240,plain,
member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),universal_class),
inference(resolution,[],[f193,f231]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f286,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),universal_class)
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),cross_product(x,y)) ),
inference(resolution,[],[f23,f234]) ).
fof(f234,plain,
~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),intersection(cross_product(x,y),universal_class)),
inference(subsumption_resolution,[],[f233,f225]) ).
fof(f225,plain,
( ~ member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),intersection(cross_product(x,y),universal_class)) ),
inference(resolution,[],[f223,f3]) ).
fof(f233,plain,
( ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),intersection(cross_product(x,y),universal_class))
| member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),cross_product(x,y)) ),
inference(resolution,[],[f227,f21]) ).
fof(f227,plain,
( member(not_subclass_element(intersection(cross_product(x,y),universal_class),cross_product(x,y)),intersection(cross_product(x,y),universal_class))
| ~ member(not_subclass_element(cross_product(x,y),intersection(cross_product(x,y),universal_class)),intersection(cross_product(x,y),universal_class)) ),
inference(resolution,[],[f224,f3]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X0)
| ~ member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET244-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 13:28:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46 % (32483)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)
% 0.18/0.47 % (32500)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (32487)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)
% 0.18/0.49 % (32483)Instruction limit reached!
% 0.18/0.49 % (32483)------------------------------
% 0.18/0.49 % (32483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (32483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (32483)Termination reason: Unknown
% 0.18/0.49 % (32483)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (32483)Memory used [KB]: 1663
% 0.18/0.49 % (32483)Time elapsed: 0.101 s
% 0.18/0.49 % (32483)Instructions burned: 38 (million)
% 0.18/0.49 % (32483)------------------------------
% 0.18/0.49 % (32483)------------------------------
% 0.18/0.51 % (32482)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)
% 0.18/0.51 % (32503)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.51 % (32496)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)
% 0.18/0.51 % (32485)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (32495)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (32488)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)
% 0.18/0.52 % (32509)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)
% 0.18/0.52 % (32505)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)
% 0.18/0.52 % (32481)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)
% 0.18/0.52 % (32497)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)
% 0.18/0.52 % (32511)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)
% 0.18/0.52 % (32484)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)
% 0.18/0.52 % (32506)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (32510)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (32499)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (32508)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)
% 0.18/0.53 % (32507)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (32494)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (32504)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)
% 0.18/0.53 % (32501)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)
% 0.18/0.53 % (32490)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (32498)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)
% 0.18/0.53 % (32490)Instruction limit reached!
% 0.18/0.53 % (32490)------------------------------
% 0.18/0.53 % (32490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (32490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (32490)Termination reason: Unknown
% 0.18/0.53 % (32490)Termination phase: Property scanning
% 0.18/0.53
% 0.18/0.53 % (32490)Memory used [KB]: 1023
% 0.18/0.53 % (32490)Time elapsed: 0.004 s
% 0.18/0.53 % (32490)Instructions burned: 3 (million)
% 0.18/0.53 % (32490)------------------------------
% 0.18/0.53 % (32490)------------------------------
% 0.18/0.54 % (32492)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (32502)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)
% 0.18/0.54 % (32493)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)
% 0.18/0.54 % (32491)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)
% 0.18/0.54 % (32489)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.55 % (32489)Instruction limit reached!
% 0.18/0.55 % (32489)------------------------------
% 0.18/0.55 % (32489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (32489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (32489)Termination reason: Unknown
% 0.18/0.55 % (32489)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (32489)Memory used [KB]: 5628
% 0.18/0.55 % (32489)Time elapsed: 0.157 s
% 0.18/0.55 % (32489)Instructions burned: 7 (million)
% 0.18/0.55 % (32489)------------------------------
% 0.18/0.55 % (32489)------------------------------
% 0.18/0.55 % (32500)Instruction limit reached!
% 0.18/0.55 % (32500)------------------------------
% 0.18/0.55 % (32500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (32500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (32500)Termination reason: Unknown
% 0.18/0.55 % (32500)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (32500)Memory used [KB]: 7036
% 0.18/0.55 % (32500)Time elapsed: 0.152 s
% 0.18/0.55 % (32500)Instructions burned: 101 (million)
% 0.18/0.55 % (32500)------------------------------
% 0.18/0.55 % (32500)------------------------------
% 0.18/0.56 % (32504)First to succeed.
% 0.18/0.56 % (32504)Refutation found. Thanks to Tanya!
% 0.18/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56 % (32504)------------------------------
% 0.18/0.56 % (32504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (32504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (32504)Termination reason: Refutation
% 0.18/0.56
% 0.18/0.56 % (32504)Memory used [KB]: 1151
% 0.18/0.56 % (32504)Time elapsed: 0.171 s
% 0.18/0.56 % (32504)Instructions burned: 11 (million)
% 0.18/0.56 % (32504)------------------------------
% 0.18/0.56 % (32504)------------------------------
% 0.18/0.56 % (32477)Success in time 0.217 s
%------------------------------------------------------------------------------