TSTP Solution File: SEU125+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU125+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n019.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 : Sat Sep 2 00:06:37 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 12 unt; 0 def)
% Number of atoms : 148 ( 7 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 166 ( 60 ~; 54 |; 38 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 102 (; 87 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1176,plain,
$false,
inference(unit_resulting_resolution,[],[f887,f167,f428,f69]) ).
fof(f69,plain,
! [X2,X0,X1,X4] :
( ~ sP1(X0,X1,X2)
| ~ in(X4,X2)
| sP0(X1,X4,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ sP0(X1,sK6(X0,X1,X2),X0)
| ~ in(sK6(X0,X1,X2),X2) )
& ( sP0(X1,sK6(X0,X1,X2),X0)
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP0(X1,X4,X0) )
& ( sP0(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) )
=> ( ( ~ sP0(X1,sK6(X0,X1,X2),X0)
| ~ in(sK6(X0,X1,X2),X2) )
& ( sP0(X1,sK6(X0,X1,X2),X0)
| in(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ sP0(X1,X4,X0) )
& ( sP0(X1,X4,X0)
| ~ in(X4,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ sP0(X1,X3,X0) )
& ( sP0(X1,X3,X0)
| ~ in(X3,X2) ) )
| ~ sP1(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( sP1(X0,X1,X2)
<=> ! [X3] :
( in(X3,X2)
<=> sP0(X1,X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f428,plain,
! [X0,X1] : sP1(X0,X1,set_union2(X1,X0)),
inference(unit_resulting_resolution,[],[f60,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( set_union2(X0,X1) != X2
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ~ sP1(X0,X1,X2) )
& ( sP1(X0,X1,X2)
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> sP1(X0,X1,X2) ),
inference(definition_folding,[],[f3,f32,f31]) ).
fof(f31,plain,
! [X1,X3,X0] :
( sP0(X1,X3,X0)
<=> ( in(X3,X1)
| in(X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f3,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.GmwOOTjtcG/Vampire---4.8_22790',d2_xboole_0) ).
fof(f60,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.GmwOOTjtcG/Vampire---4.8_22790',commutativity_k2_xboole_0) ).
fof(f167,plain,
in(sK5(set_union2(sK2,sK4),sK3),set_union2(sK2,sK4)),
inference(unit_resulting_resolution,[],[f54,f65]) ).
fof(f65,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.GmwOOTjtcG/Vampire---4.8_22790',d3_tarski) ).
fof(f54,plain,
~ subset(set_union2(sK2,sK4),sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ~ subset(set_union2(sK2,sK4),sK3)
& subset(sK4,sK3)
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f23,f34]) ).
fof(f34,plain,
( ? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) )
=> ( ~ subset(set_union2(sK2,sK4),sK3)
& subset(sK4,sK3)
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
? [X0,X1,X2] :
( ~ subset(set_union2(X0,X2),X1)
& subset(X2,X1)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.GmwOOTjtcG/Vampire---4.8_22790',t8_xboole_1) ).
fof(f887,plain,
~ sP0(sK2,sK5(set_union2(sK2,sK4),sK3),sK4),
inference(unit_resulting_resolution,[],[f348,f349,f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| in(X1,X2)
| in(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ( ~ in(X1,X0)
& ~ in(X1,X2) ) )
& ( in(X1,X0)
| in(X1,X2)
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X3,X0] :
( ( sP0(X1,X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ sP0(X1,X3,X0) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X3,X0] :
( ( sP0(X1,X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ sP0(X1,X3,X0) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f349,plain,
~ in(sK5(set_union2(sK2,sK4),sK3),sK4),
inference(unit_resulting_resolution,[],[f170,f53,f64]) ).
fof(f64,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f53,plain,
subset(sK4,sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f170,plain,
~ in(sK5(set_union2(sK2,sK4),sK3),sK3),
inference(unit_resulting_resolution,[],[f54,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f348,plain,
~ in(sK5(set_union2(sK2,sK4),sK3),sK2),
inference(unit_resulting_resolution,[],[f170,f52,f64]) ).
fof(f52,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU125+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Aug 30 14:06:12 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.35 % (22947)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.35 % (22948)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.10/0.35 % (22949)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.10/0.35 % (22951)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.10/0.35 % (22952)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.10/0.35 % (22953)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.10/0.35 % (22954)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.10/0.35 % (22950)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [3]
% 0.10/0.35 TRYING [1]
% 0.10/0.35 TRYING [2]
% 0.10/0.35 TRYING [4]
% 0.10/0.36 TRYING [3]
% 0.10/0.36 TRYING [5]
% 0.10/0.37 % (22954)First to succeed.
% 0.13/0.37 % (22954)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for Vampire---4
% 0.13/0.37 % SZS output start Proof for Vampire---4
% See solution above
% 0.13/0.37 % (22954)------------------------------
% 0.13/0.37 % (22954)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.13/0.37 % (22954)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.13/0.37 % (22954)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (22954)Memory used [KB]: 1407
% 0.13/0.37 % (22954)Time elapsed: 0.018 s
% 0.13/0.37 % (22954)------------------------------
% 0.13/0.37 % (22954)------------------------------
% 0.13/0.37 % (22947)Success in time 0.05 s
% 0.13/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------