TSTP Solution File: SET093+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : n007.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 18:19:06 EDT 2022
% Result : Theorem 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 23 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 6 ~; 0 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,plain,
$false,
inference(resolution,[],[f304,f170]) ).
fof(f170,plain,
~ member(sK0,universal_class),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( singleton(member_of(sK0)) = sK0
& ~ member(sK0,universal_class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f82,f100]) ).
fof(f100,plain,
( ? [X0] :
( singleton(member_of(X0)) = X0
& ~ member(X0,universal_class) )
=> ( singleton(member_of(sK0)) = sK0
& ~ member(sK0,universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
? [X0] :
( singleton(member_of(X0)) = X0
& ~ member(X0,universal_class) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
inference(negated_conjecture,[],[f48]) ).
fof(f48,conjecture,
! [X0] :
( singleton(member_of(X0)) = X0
=> member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_to_singletons_are_sets) ).
fof(f304,plain,
member(sK0,universal_class),
inference(superposition,[],[f242,f263]) ).
fof(f263,plain,
unordered_pair(member_of(sK0),member_of(sK0)) = sK0,
inference(definition_unfolding,[],[f171,f234]) ).
fof(f234,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/sandbox/benchmark/theBenchmark.p',singleton_set_defn) ).
fof(f171,plain,
singleton(member_of(sK0)) = sK0,
inference(cnf_transformation,[],[f101]) ).
fof(f242,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(rectify,[],[f66]) ).
fof(f66,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/sandbox/benchmark/theBenchmark.p',unordered_pair) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET093+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.34 % Computer : n007.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Aug 30 13:00:16 EDT 2022
% 0.11/0.34 % CPUTime :
% 0.18/0.56 % (27757)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.56 % (27749)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)
% 0.18/0.56 % (27755)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.56 % (27756)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)
% 0.18/0.56 % (27757)Refutation not found, incomplete strategy% (27757)------------------------------
% 0.18/0.56 % (27757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (27757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (27757)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (27757)Memory used [KB]: 1407
% 0.18/0.56 % (27757)Time elapsed: 0.072 s
% 0.18/0.56 % (27757)Instructions burned: 2 (million)
% 0.18/0.56 % (27757)------------------------------
% 0.18/0.56 % (27757)------------------------------
% 0.18/0.56 % (27741)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)
% 0.18/0.56 % (27746)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)
% 0.18/0.56 % (27745)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.56 % (27741)Refutation not found, incomplete strategy% (27741)------------------------------
% 0.18/0.56 % (27741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (27741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (27741)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (27741)Memory used [KB]: 5884
% 0.18/0.56 % (27741)Time elapsed: 0.139 s
% 0.18/0.56 % (27741)Instructions burned: 2 (million)
% 0.18/0.56 % (27741)------------------------------
% 0.18/0.56 % (27741)------------------------------
% 0.18/0.56 % (27745)Refutation not found, incomplete strategy% (27745)------------------------------
% 0.18/0.56 % (27745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (27745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (27745)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.56
% 0.18/0.56 % (27745)Memory used [KB]: 5884
% 0.18/0.56 % (27745)Time elapsed: 0.133 s
% 0.18/0.56 % (27745)Instructions burned: 2 (million)
% 0.18/0.56 % (27745)------------------------------
% 0.18/0.56 % (27745)------------------------------
% 0.18/0.56 % (27740)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.56 % (27736)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)
% 0.18/0.56 % (27749)Instruction limit reached!
% 0.18/0.56 % (27749)------------------------------
% 0.18/0.56 % (27749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (27749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (27749)Termination reason: Unknown
% 0.18/0.56 % (27749)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (27749)Memory used [KB]: 6140
% 0.18/0.56 % (27749)Time elapsed: 0.009 s
% 0.18/0.56 % (27749)Instructions burned: 7 (million)
% 0.18/0.56 % (27749)------------------------------
% 0.18/0.56 % (27749)------------------------------
% 0.18/0.57 % (27740)Refutation not found, incomplete strategy% (27740)------------------------------
% 0.18/0.57 % (27740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (27736)Instruction limit reached!
% 0.18/0.57 % (27736)------------------------------
% 0.18/0.57 % (27736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (27736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (27740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (27736)Termination reason: Unknown
% 0.18/0.57 % (27740)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.57 % (27736)Termination phase: Property scanning
% 0.18/0.57
% 0.18/0.57
% 0.18/0.57 % (27740)Memory used [KB]: 5884
% 0.18/0.57 % (27736)Memory used [KB]: 1535
% 0.18/0.57 % (27740)Time elapsed: 0.088 s
% 0.18/0.57 % (27736)Time elapsed: 0.003 s
% 0.18/0.57 % (27740)Instructions burned: 2 (million)
% 0.18/0.57 % (27736)Instructions burned: 3 (million)
% 0.18/0.57 % (27740)------------------------------
% 0.18/0.57 % (27740)------------------------------
% 0.18/0.57 % (27736)------------------------------
% 0.18/0.57 % (27736)------------------------------
% 0.18/0.57 % (27735)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.57 % (27761)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.57 % (27756)First to succeed.
% 0.18/0.57 % (27756)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Theorem for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (27756)------------------------------
% 0.18/0.57 % (27756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (27756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (27756)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (27756)Memory used [KB]: 6012
% 0.18/0.57 % (27756)Time elapsed: 0.138 s
% 0.18/0.57 % (27756)Instructions burned: 7 (million)
% 0.18/0.57 % (27756)------------------------------
% 0.18/0.57 % (27756)------------------------------
% 0.18/0.57 % (27733)Success in time 0.216 s
%------------------------------------------------------------------------------