TSTP Solution File: NUM139-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM139-1 : 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_uns --cores 0 -t %d %s
% Computer : n026.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 17:57:10 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 17 ( 15 unt; 0 def)
% Number of atoms : 19 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,plain,
$false,
inference(subsumption_resolution,[],[f279,f238]) ).
fof(f238,plain,
~ member(not_subclass_element(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(x),universal_class),element_relation),universal_class))))),z),x),z),
inference(definition_unfolding,[],[f159,f168]) ).
fof(f168,plain,
! [X0] : power_class(X0) = complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(X0),universal_class),element_relation),universal_class))))),
inference(definition_unfolding,[],[f55,f165]) ).
fof(f165,plain,
! [X0,X5] : image(X5,X0) = domain_of(domain_of(flip(cross_product(intersection(cross_product(X0,universal_class),X5),universal_class)))),
inference(definition_unfolding,[],[f42,f162,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(f162,plain,
! [X4] : range_of(X4) = domain_of(domain_of(flip(cross_product(X4,universal_class)))),
inference(definition_unfolding,[],[f39,f38]) ).
fof(f38,axiom,
! [X1] : domain_of(flip(cross_product(X1,universal_class))) = inverse(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f39,axiom,
! [X4] : domain_of(inverse(X4)) = range_of(X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',range_of) ).
fof(f42,axiom,
! [X0,X5] : range_of(restrict(X5,X0,universal_class)) = image(X5,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',image) ).
fof(f55,axiom,
! [X0] : complement(image(element_relation,complement(X0))) = power_class(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',power_class_definition) ).
fof(f159,axiom,
~ member(not_subclass_element(intersection(power_class(x),z),x),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complete_induction3_1) ).
fof(f279,plain,
member(not_subclass_element(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(x),universal_class),element_relation),universal_class))))),z),x),z),
inference(resolution,[],[f22,f268]) ).
fof(f268,plain,
member(not_subclass_element(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(x),universal_class),element_relation),universal_class))))),z),x),intersection(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(x),universal_class),element_relation),universal_class))))),z)),
inference(resolution,[],[f2,f209]) ).
fof(f209,plain,
~ subclass(intersection(complement(domain_of(domain_of(flip(cross_product(intersection(cross_product(complement(x),universal_class),element_relation),universal_class))))),z),x),
inference(definition_unfolding,[],[f160,f168]) ).
fof(f160,axiom,
~ subclass(intersection(power_class(x),z),x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complete_induction3_2) ).
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(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM139-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 06:17:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 % (4583)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (4591)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.55 % (4582)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.56 % (4588)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.56 % (4588)Instruction limit reached!
% 0.21/0.56 % (4588)------------------------------
% 0.21/0.56 % (4588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4588)Termination reason: Unknown
% 0.21/0.56 % (4588)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (4588)Memory used [KB]: 1535
% 0.21/0.56 % (4588)Time elapsed: 0.005 s
% 0.21/0.56 % (4588)Instructions burned: 6 (million)
% 0.21/0.56 % (4588)------------------------------
% 0.21/0.56 % (4588)------------------------------
% 0.21/0.56 % (4583)Refutation not found, incomplete strategy% (4583)------------------------------
% 0.21/0.56 % (4583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (4583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (4583)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (4583)Memory used [KB]: 6012
% 0.21/0.56 % (4583)Time elapsed: 0.113 s
% 0.21/0.56 % (4583)Instructions burned: 2 (million)
% 0.21/0.56 % (4583)------------------------------
% 0.21/0.56 % (4583)------------------------------
% 0.21/0.56 % (4605)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.57 % (4582)First to succeed.
% 0.21/0.57 % (4582)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (4582)------------------------------
% 0.21/0.57 % (4582)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (4582)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (4582)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (4582)Memory used [KB]: 1663
% 0.21/0.57 % (4582)Time elapsed: 0.020 s
% 0.21/0.57 % (4582)Instructions burned: 11 (million)
% 0.21/0.57 % (4582)------------------------------
% 0.21/0.57 % (4582)------------------------------
% 0.21/0.57 % (4566)Success in time 0.209 s
%------------------------------------------------------------------------------