TSTP Solution File: SEU105+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% 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 18:26:41 EDT 2022
% Result : Theorem 1.38s 0.53s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 68 ( 11 unt; 0 def)
% Number of atoms : 217 ( 7 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 247 ( 98 ~; 88 |; 39 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 75 ( 66 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f408,plain,
$false,
inference(avatar_sat_refutation,[],[f337,f348,f353,f365,f400,f407]) ).
fof(f407,plain,
( ~ spl14_1
| spl14_3
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl14_1
| spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f405,f327]) ).
fof(f327,plain,
( element(set_intersection2(sK8(sK1),sK7(sK1)),sK1)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl14_1
<=> element(set_intersection2(sK8(sK1),sK7(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f405,plain,
( ~ element(set_intersection2(sK8(sK1),sK7(sK1)),sK1)
| spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f403,f342]) ).
fof(f342,plain,
( element(sK8(sK1),sK1)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl14_4
<=> element(sK8(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f403,plain,
( ~ element(sK8(sK1),sK1)
| ~ element(set_intersection2(sK8(sK1),sK7(sK1)),sK1)
| spl14_3 ),
inference(resolution,[],[f336,f155]) ).
fof(f155,plain,
! [X2,X1] :
( in(symmetric_difference(X1,X2),sK1)
| ~ element(X1,sK1)
| ~ element(X2,sK1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ~ empty(sK1)
& ! [X1] :
( ~ element(X1,sK1)
| ! [X2] :
( ~ element(X2,sK1)
| ( in(symmetric_difference(X1,X2),sK1)
& in(set_intersection2(X1,X2),sK1) ) ) )
& ~ preboolean(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f83,f109]) ).
fof(f109,plain,
( ? [X0] :
( ~ empty(X0)
& ! [X1] :
( ~ element(X1,X0)
| ! [X2] :
( ~ element(X2,X0)
| ( in(symmetric_difference(X1,X2),X0)
& in(set_intersection2(X1,X2),X0) ) ) )
& ~ preboolean(X0) )
=> ( ~ empty(sK1)
& ! [X1] :
( ~ element(X1,sK1)
| ! [X2] :
( ~ element(X2,sK1)
| ( in(symmetric_difference(X1,X2),sK1)
& in(set_intersection2(X1,X2),sK1) ) ) )
& ~ preboolean(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
? [X0] :
( ~ empty(X0)
& ! [X1] :
( ~ element(X1,X0)
| ! [X2] :
( ~ element(X2,X0)
| ( in(symmetric_difference(X1,X2),X0)
& in(set_intersection2(X1,X2),X0) ) ) )
& ~ preboolean(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ~ element(X1,X0)
| ! [X2] :
( ~ element(X2,X0)
| ( in(symmetric_difference(X1,X2),X0)
& in(set_intersection2(X1,X2),X0) ) ) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_intersection2(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
inference(negated_conjecture,[],[f34]) ).
fof(f34,conjecture,
! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_intersection2(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_finsub_1) ).
fof(f336,plain,
( ~ in(symmetric_difference(sK8(sK1),set_intersection2(sK8(sK1),sK7(sK1))),sK1)
| spl14_3 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl14_3
<=> in(symmetric_difference(sK8(sK1),set_intersection2(sK8(sK1),sK7(sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f400,plain,
( spl14_2
| ~ spl14_4
| ~ spl14_5 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| spl14_2
| ~ spl14_4
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f398,f342]) ).
fof(f398,plain,
( ~ element(sK8(sK1),sK1)
| spl14_2
| ~ spl14_5 ),
inference(subsumption_resolution,[],[f397,f346]) ).
fof(f346,plain,
( element(sK7(sK1),sK1)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f345,plain,
( spl14_5
<=> element(sK7(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f397,plain,
( ~ element(sK7(sK1),sK1)
| ~ element(sK8(sK1),sK1)
| spl14_2 ),
inference(resolution,[],[f368,f155]) ).
fof(f368,plain,
( ~ in(symmetric_difference(sK8(sK1),sK7(sK1)),sK1)
| spl14_2 ),
inference(resolution,[],[f332,f211]) ).
fof(f211,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ in(X0,X1)
| element(X0,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f332,plain,
( ~ element(symmetric_difference(sK8(sK1),sK7(sK1)),sK1)
| spl14_2 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl14_2
<=> element(symmetric_difference(sK8(sK1),sK7(sK1)),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f365,plain,
spl14_5,
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| spl14_5 ),
inference(subsumption_resolution,[],[f363,f153]) ).
fof(f153,plain,
~ preboolean(sK1),
inference(cnf_transformation,[],[f110]) ).
fof(f363,plain,
( preboolean(sK1)
| spl14_5 ),
inference(resolution,[],[f358,f191]) ).
fof(f191,plain,
! [X0] :
( in(sK7(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) ) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ( in(sK7(X0),X0)
& in(sK8(X0),X0)
& ( ~ in(set_union2(sK8(X0),sK7(X0)),X0)
| ~ in(set_difference(sK8(X0),sK7(X0)),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f130,f131]) ).
fof(f131,plain,
! [X0] :
( ? [X3,X4] :
( in(X3,X0)
& in(X4,X0)
& ( ~ in(set_union2(X4,X3),X0)
| ~ in(set_difference(X4,X3),X0) ) )
=> ( in(sK7(X0),X0)
& in(sK8(X0),X0)
& ( ~ in(set_union2(sK8(X0),sK7(X0)),X0)
| ~ in(set_difference(sK8(X0),sK7(X0)),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0] :
( ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) ) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ? [X3,X4] :
( in(X3,X0)
& in(X4,X0)
& ( ~ in(set_union2(X4,X3),X0)
| ~ in(set_difference(X4,X3),X0) ) ) ) ),
inference(rectify,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) ) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ( ~ in(set_union2(X2,X1),X0)
| ~ in(set_difference(X2,X1),X0) ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) ) )
<=> preboolean(X0) ),
inference(flattening,[],[f86]) ).
fof(f86,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( preboolean(X0)
<=> ! [X1,X2] :
( ( in(X1,X0)
& in(X2,X0) )
=> ( in(set_union2(X2,X1),X0)
& in(set_difference(X2,X1),X0) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ! [X2,X1] :
( ( in(X1,X0)
& in(X2,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) )
<=> preboolean(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(f358,plain,
( ~ in(sK7(sK1),sK1)
| spl14_5 ),
inference(resolution,[],[f347,f211]) ).
fof(f347,plain,
( ~ element(sK7(sK1),sK1)
| spl14_5 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f353,plain,
spl14_4,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| spl14_4 ),
inference(subsumption_resolution,[],[f351,f153]) ).
fof(f351,plain,
( preboolean(sK1)
| spl14_4 ),
inference(resolution,[],[f349,f190]) ).
fof(f190,plain,
! [X0] :
( in(sK8(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f349,plain,
( ~ in(sK8(sK1),sK1)
| spl14_4 ),
inference(resolution,[],[f343,f211]) ).
fof(f343,plain,
( ~ element(sK8(sK1),sK1)
| spl14_4 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f348,plain,
( ~ spl14_4
| ~ spl14_5
| spl14_1 ),
inference(avatar_split_clause,[],[f339,f326,f345,f341]) ).
fof(f339,plain,
( ~ element(sK7(sK1),sK1)
| ~ element(sK8(sK1),sK1)
| spl14_1 ),
inference(resolution,[],[f338,f154]) ).
fof(f154,plain,
! [X2,X1] :
( in(set_intersection2(X1,X2),sK1)
| ~ element(X1,sK1)
| ~ element(X2,sK1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f338,plain,
( ~ in(set_intersection2(sK8(sK1),sK7(sK1)),sK1)
| spl14_1 ),
inference(resolution,[],[f328,f211]) ).
fof(f328,plain,
( ~ element(set_intersection2(sK8(sK1),sK7(sK1)),sK1)
| spl14_1 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f337,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f324,f334,f330,f326]) ).
fof(f324,plain,
( ~ in(symmetric_difference(sK8(sK1),set_intersection2(sK8(sK1),sK7(sK1))),sK1)
| ~ element(symmetric_difference(sK8(sK1),sK7(sK1)),sK1)
| ~ element(set_intersection2(sK8(sK1),sK7(sK1)),sK1) ),
inference(subsumption_resolution,[],[f323,f153]) ).
fof(f323,plain,
( preboolean(sK1)
| ~ element(symmetric_difference(sK8(sK1),sK7(sK1)),sK1)
| ~ in(symmetric_difference(sK8(sK1),set_intersection2(sK8(sK1),sK7(sK1))),sK1)
| ~ element(set_intersection2(sK8(sK1),sK7(sK1)),sK1) ),
inference(resolution,[],[f220,f155]) ).
fof(f220,plain,
! [X0] :
( ~ in(symmetric_difference(symmetric_difference(sK8(X0),sK7(X0)),set_intersection2(sK8(X0),sK7(X0))),X0)
| ~ in(symmetric_difference(sK8(X0),set_intersection2(sK8(X0),sK7(X0))),X0)
| preboolean(X0) ),
inference(definition_unfolding,[],[f189,f148,f187]) ).
fof(f187,plain,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] : set_difference(X1,X0) = symmetric_difference(X1,set_intersection2(X1,X0)),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] : set_difference(X0,X1) = symmetric_difference(X0,set_intersection2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_xboole_1) ).
fof(f148,plain,
! [X0,X1] : set_union2(X1,X0) = symmetric_difference(symmetric_difference(X1,X0),set_intersection2(X1,X0)),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] : set_union2(X1,X0) = symmetric_difference(symmetric_difference(X1,X0),set_intersection2(X1,X0)),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X1,X0] : set_union2(X0,X1) = symmetric_difference(symmetric_difference(X0,X1),set_intersection2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t94_xboole_1) ).
fof(f189,plain,
! [X0] :
( preboolean(X0)
| ~ in(set_union2(sK8(X0),sK7(X0)),X0)
| ~ in(set_difference(sK8(X0),sK7(X0)),X0) ),
inference(cnf_transformation,[],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU105+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : n007.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 14:23:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (27672)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.49 % (27680)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (27686)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)
% 0.19/0.50 % (27678)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (27678)Instruction limit reached!
% 0.19/0.51 % (27678)------------------------------
% 0.19/0.51 % (27678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27678)Termination reason: Unknown
% 0.19/0.51 % (27678)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (27678)Memory used [KB]: 1535
% 0.19/0.51 % (27678)Time elapsed: 0.004 s
% 0.19/0.51 % (27678)Instructions burned: 3 (million)
% 0.19/0.51 % (27678)------------------------------
% 0.19/0.51 % (27678)------------------------------
% 0.19/0.51 % (27688)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (27670)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)
% 0.19/0.51 % (27668)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)
% 0.19/0.51 % (27688)First to succeed.
% 0.19/0.52 % (27667)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27666)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)
% 0.19/0.52 % (27666)Instruction limit reached!
% 0.19/0.52 % (27666)------------------------------
% 0.19/0.52 % (27666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (27666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (27666)Termination reason: Unknown
% 0.19/0.52 % (27666)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (27666)Memory used [KB]: 6012
% 0.19/0.52 % (27666)Time elapsed: 0.003 s
% 0.19/0.52 % (27666)Instructions burned: 4 (million)
% 0.19/0.52 % (27666)------------------------------
% 0.19/0.52 % (27666)------------------------------
% 1.38/0.53 % (27691)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)
% 1.38/0.53 % (27688)Refutation found. Thanks to Tanya!
% 1.38/0.53 % SZS status Theorem for theBenchmark
% 1.38/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.53 % (27688)------------------------------
% 1.38/0.53 % (27688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (27688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (27688)Termination reason: Refutation
% 1.38/0.53
% 1.38/0.53 % (27688)Memory used [KB]: 6140
% 1.38/0.53 % (27688)Time elapsed: 0.125 s
% 1.38/0.53 % (27688)Instructions burned: 9 (million)
% 1.38/0.53 % (27688)------------------------------
% 1.38/0.53 % (27688)------------------------------
% 1.38/0.53 % (27663)Success in time 0.177 s
%------------------------------------------------------------------------------