TSTP Solution File: SET077+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : n024.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 18:18:58 EDT 2022
% Result : Theorem 1.80s 0.60s
% Output : Refutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 13 unt; 0 def)
% Number of atoms : 15 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(subsumption_resolution,[],[f254,f187]) ).
fof(f187,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0] : member(unordered_pair(X1,X0),universal_class),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair) ).
fof(f254,plain,
~ member(unordered_pair(sK1,sK1),universal_class),
inference(definition_unfolding,[],[f167,f191]) ).
fof(f191,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f167,plain,
~ member(singleton(sK1),universal_class),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
~ member(singleton(sK1),universal_class),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f83,f96]) ).
fof(f96,plain,
( ? [X0] : ~ member(singleton(X0),universal_class)
=> ~ member(singleton(sK1),universal_class) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] : ~ member(singleton(X0),universal_class),
inference(ennf_transformation,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] : member(singleton(X0),universal_class),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] : member(singleton(X0),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET077+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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 13:11:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.56 % (4505)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.47/0.57 % (4508)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.47/0.57 % (4508)Refutation not found, incomplete strategy% (4508)------------------------------
% 1.47/0.57 % (4508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (4508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (4508)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.57
% 1.47/0.57 % (4508)Memory used [KB]: 5884
% 1.47/0.57 % (4508)Time elapsed: 0.002 s
% 1.47/0.57 % (4508)Instructions burned: 2 (million)
% 1.47/0.57 % (4508)------------------------------
% 1.47/0.57 % (4508)------------------------------
% 1.47/0.57 % (4533)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.47/0.58 % (4513)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.47/0.58 % (4505)Refutation not found, incomplete strategy% (4505)------------------------------
% 1.47/0.58 % (4505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58 % (4524)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.47/0.58 % (4505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58 % (4505)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.58
% 1.47/0.58 % (4505)Memory used [KB]: 5884
% 1.47/0.58 % (4505)Time elapsed: 0.004 s
% 1.47/0.58 % (4505)Instructions burned: 1 (million)
% 1.47/0.58 % (4505)------------------------------
% 1.47/0.58 % (4505)------------------------------
% 1.47/0.58 % (4503)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.47/0.58 % (4516)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.47/0.58 % (4516)First to succeed.
% 1.47/0.58 % (4530)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.47/0.58 % (4530)Refutation not found, incomplete strategy% (4530)------------------------------
% 1.47/0.58 % (4530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58 % (4527)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.47/0.58 % (4511)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.47/0.58 % (4530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58 % (4530)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.58
% 1.47/0.58 % (4530)Memory used [KB]: 5884
% 1.47/0.58 % (4530)Time elapsed: 0.003 s
% 1.47/0.58 % (4530)Instructions burned: 2 (million)
% 1.47/0.58 % (4511)Refutation not found, incomplete strategy% (4511)------------------------------
% 1.47/0.58 % (4511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (4530)------------------------------
% 1.80/0.59 % (4530)------------------------------
% 1.80/0.59 % (4520)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.80/0.59 % (4511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (4511)Termination reason: Refutation not found, incomplete strategy
% 1.80/0.59
% 1.80/0.59 % (4511)Memory used [KB]: 5884
% 1.80/0.59 % (4511)Time elapsed: 0.004 s
% 1.80/0.59 % (4511)Instructions burned: 2 (million)
% 1.80/0.59 % (4511)------------------------------
% 1.80/0.59 % (4511)------------------------------
% 1.80/0.59 % (4503)Instruction limit reached!
% 1.80/0.59 % (4503)------------------------------
% 1.80/0.59 % (4503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (4503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (4503)Termination reason: Unknown
% 1.80/0.59 % (4503)Termination phase: Function definition elimination
% 1.80/0.59
% 1.80/0.59 % (4503)Memory used [KB]: 1535
% 1.80/0.59 % (4503)Time elapsed: 0.005 s
% 1.80/0.59 % (4503)Instructions burned: 3 (million)
% 1.80/0.59 % (4503)------------------------------
% 1.80/0.59 % (4503)------------------------------
% 1.80/0.59 % (4520)Instruction limit reached!
% 1.80/0.59 % (4520)------------------------------
% 1.80/0.59 % (4520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.59 % (4520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.59 % (4520)Termination reason: Unknown
% 1.80/0.59 % (4520)Termination phase: Property scanning
% 1.80/0.59
% 1.80/0.59 % (4520)Memory used [KB]: 1535
% 1.80/0.59 % (4520)Time elapsed: 0.005 s
% 1.80/0.59 % (4520)Instructions burned: 3 (million)
% 1.80/0.59 % (4520)------------------------------
% 1.80/0.59 % (4520)------------------------------
% 1.80/0.60 % (4524)Also succeeded, but the first one will report.
% 1.80/0.60 % (4516)Refutation found. Thanks to Tanya!
% 1.80/0.60 % SZS status Theorem for theBenchmark
% 1.80/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.80/0.60 % (4516)------------------------------
% 1.80/0.60 % (4516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60 % (4516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60 % (4516)Termination reason: Refutation
% 1.80/0.60
% 1.80/0.60 % (4516)Memory used [KB]: 6140
% 1.80/0.60 % (4516)Time elapsed: 0.006 s
% 1.80/0.60 % (4516)Instructions burned: 6 (million)
% 1.80/0.60 % (4516)------------------------------
% 1.80/0.60 % (4516)------------------------------
% 1.80/0.60 % (4496)Success in time 0.237 s
%------------------------------------------------------------------------------