TSTP Solution File: NUM045-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM045-1 : 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 : n015.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 18:03:21 EDT 2022
% Result : Unsatisfiable 1.97s 0.63s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 64 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f540,plain,
$false,
inference(subsumption_resolution,[],[f538,f413]) ).
fof(f413,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),universal_class),
inference(resolution,[],[f409,f279]) ).
fof(f279,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/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f409,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),intersection(cross_product(y,y),x)),
inference(resolution,[],[f406,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f406,plain,
~ subclass(intersection(cross_product(y,y),x),complement(identity_relation)),
inference(resolution,[],[f217,f160]) ).
fof(f160,axiom,
~ irreflexive(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property7_2) ).
fof(f217,plain,
! [X0,X1] :
( irreflexive(X0,X1)
| ~ subclass(intersection(cross_product(X1,X1),X0),complement(identity_relation)) ),
inference(definition_unfolding,[],[f115,f29]) ).
fof(f29,axiom,
! [X0,X1,X5] : restrict(X5,X0,X1) = intersection(cross_product(X0,X1),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f115,axiom,
! [X0,X1] :
( ~ subclass(restrict(X0,X1,X1),complement(identity_relation))
| irreflexive(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',irreflexive2) ).
fof(f538,plain,
~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),universal_class),
inference(resolution,[],[f497,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f497,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),complement(universal_class)),
inference(backward_demodulation,[],[f427,f462]) ).
fof(f462,plain,
null_class = complement(universal_class),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f452,plain,
( null_class = complement(universal_class)
| null_class = complement(universal_class) ),
inference(resolution,[],[f263,f296]) ).
fof(f296,plain,
! [X0] :
( member(regular(X0),universal_class)
| null_class = X0 ),
inference(resolution,[],[f279,f66]) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f263,plain,
! [X0] :
( ~ member(regular(complement(X0)),X0)
| complement(X0) = null_class ),
inference(resolution,[],[f66,f24]) ).
fof(f427,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),null_class),
inference(subsumption_resolution,[],[f426,f420]) ).
fof(f420,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),identity_relation),
inference(subsumption_resolution,[],[f410,f413]) ).
fof(f410,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),universal_class)
| member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),identity_relation) ),
inference(resolution,[],[f408,f25]) ).
fof(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| member(X4,X0)
| ~ member(X4,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f408,plain,
~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),complement(identity_relation)),
inference(resolution,[],[f406,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f426,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),identity_relation)
| member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),null_class) ),
inference(subsumption_resolution,[],[f414,f412]) ).
fof(f412,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),cross_product(y,y)),
inference(resolution,[],[f409,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f414,plain,
( member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),null_class)
| ~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),cross_product(y,y))
| ~ member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),identity_relation) ),
inference(resolution,[],[f411,f359]) ).
fof(f359,plain,
! [X1] :
( ~ member(X1,x)
| member(X1,null_class)
| ~ member(X1,identity_relation)
| ~ member(X1,cross_product(y,y)) ),
inference(resolution,[],[f355,f23]) ).
fof(f23,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
| ~ member(X4,X1)
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f355,plain,
! [X0] :
( ~ member(X0,intersection(x,identity_relation))
| ~ member(X0,cross_product(y,y))
| member(X0,null_class) ),
inference(superposition,[],[f23,f224]) ).
fof(f224,plain,
null_class = intersection(cross_product(y,y),intersection(x,identity_relation)),
inference(definition_unfolding,[],[f159,f29]) ).
fof(f159,axiom,
null_class = restrict(intersection(x,identity_relation),y,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_irreflexive_class_property7_1) ).
fof(f411,plain,
member(not_subclass_element(intersection(cross_product(y,y),x),complement(identity_relation)),x),
inference(resolution,[],[f409,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM045-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue Aug 30 06:33:20 EDT 2022
% 0.16/0.32 % CPUTime :
% 0.16/0.48 % (4285)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (4286)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.49 % (4285)Instruction limit reached!
% 0.16/0.49 % (4285)------------------------------
% 0.16/0.49 % (4285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (4286)Instruction limit reached!
% 0.16/0.49 % (4286)------------------------------
% 0.16/0.49 % (4286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49 % (4301)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)
% 0.16/0.49 % (4285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (4285)Termination reason: Unknown
% 0.16/0.49 % (4285)Termination phase: Saturation
% 0.16/0.49
% 0.16/0.49 % (4285)Memory used [KB]: 5628
% 0.16/0.49 % (4285)Time elapsed: 0.006 s
% 0.16/0.49 % (4285)Instructions burned: 8 (million)
% 0.16/0.49 % (4285)------------------------------
% 0.16/0.49 % (4285)------------------------------
% 0.16/0.49 % (4286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49 % (4286)Termination reason: Unknown
% 0.16/0.49 % (4286)Termination phase: Function definition elimination
% 0.16/0.49
% 0.16/0.49 % (4286)Memory used [KB]: 1023
% 0.16/0.49 % (4286)Time elapsed: 0.005 s
% 0.16/0.49 % (4286)Instructions burned: 2 (million)
% 0.16/0.49 % (4286)------------------------------
% 0.16/0.49 % (4286)------------------------------
% 0.16/0.49 % (4302)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.50 % (4294)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)
% 0.16/0.50 % (4293)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)
% 0.16/0.52 % (4289)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)
% 0.16/0.52 % (4288)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.52 % (4282)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.52 % (4283)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)
% 0.16/0.52 % (4303)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.53 % (4284)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)
% 0.16/0.53 % (4281)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)
% 0.16/0.53 % (4280)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)
% 0.16/0.53 % (4298)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)
% 0.16/0.53 % (4299)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.54 % (4278)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)
% 0.16/0.54 % (4307)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)
% 0.16/0.54 % (4306)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54 % (4297)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)
% 0.16/0.54 % (4290)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.54 % (4296)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.55 % (4291)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (4300)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)
% 0.16/0.55 % (4305)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)
% 0.16/0.55 % (4304)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)
% 0.16/0.56 % (4279)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)
% 0.16/0.56 % (4295)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.56 % (4292)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)
% 0.16/0.57 % (4287)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)
% 0.16/0.61 % (4300)First to succeed.
% 0.16/0.61 % (4284)Instruction limit reached!
% 0.16/0.61 % (4284)------------------------------
% 0.16/0.61 % (4284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.61 % (4284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.61 % (4284)Termination reason: Unknown
% 0.16/0.61 % (4284)Termination phase: Finite model building preprocessing
% 0.16/0.61
% 0.16/0.61 % (4284)Memory used [KB]: 1791
% 0.16/0.61 % (4284)Time elapsed: 0.029 s
% 0.16/0.61 % (4284)Instructions burned: 52 (million)
% 0.16/0.61 % (4284)------------------------------
% 0.16/0.61 % (4284)------------------------------
% 1.97/0.62 % (4280)Instruction limit reached!
% 1.97/0.62 % (4280)------------------------------
% 1.97/0.62 % (4280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.62 % (4280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.62 % (4280)Termination reason: Unknown
% 1.97/0.62 % (4280)Termination phase: Saturation
% 1.97/0.62
% 1.97/0.62 % (4280)Memory used [KB]: 1791
% 1.97/0.62 % (4280)Time elapsed: 0.218 s
% 1.97/0.62 % (4280)Instructions burned: 37 (million)
% 1.97/0.62 % (4280)------------------------------
% 1.97/0.62 % (4280)------------------------------
% 1.97/0.63 % (4300)Refutation found. Thanks to Tanya!
% 1.97/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.97/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.63 % (4300)------------------------------
% 2.30/0.63 % (4300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.63 % (4300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.63 % (4300)Termination reason: Refutation
% 2.30/0.63
% 2.30/0.63 % (4300)Memory used [KB]: 1407
% 2.30/0.63 % (4300)Time elapsed: 0.223 s
% 2.30/0.63 % (4300)Instructions burned: 24 (million)
% 2.30/0.63 % (4300)------------------------------
% 2.30/0.63 % (4300)------------------------------
% 2.30/0.63 % (4277)Success in time 0.307 s
%------------------------------------------------------------------------------