TSTP Solution File: SET988+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET988+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 : n013.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 18:22:57 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 8 unt; 0 def)
% Number of atoms : 138 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 136 ( 51 ~; 48 |; 20 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-2 aty)
% Number of variables : 104 ( 96 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[f105,f199,f259]) ).
fof(f259,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f248,f149]) ).
fof(f149,plain,
( in(sK0(sK4),sK4)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f104,f56]) ).
fof(f56,plain,
! [X0] :
( in(sK0(X0),X0)
| relation(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X3,X2) = X1 )
<=> relation(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : ordered_pair(X3,X2) != X1 )
<=> relation(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( ! [X3,X2] : ordered_pair(X2,X3) != X1
& in(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f104,plain,
( ~ relation(sK4)
| spl15_2 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl15_2
<=> relation(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f248,plain,
( ~ in(sK0(sK4),sK4)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f171,f106]) ).
fof(f106,plain,
! [X4] :
( ~ in(X4,sK4)
| unordered_pair(singleton(sK5(X4)),unordered_pair(sK5(X4),sK6(X4))) = X4 ),
inference(forward_demodulation,[],[f92,f62]) ).
fof(f62,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f92,plain,
! [X4] :
( unordered_pair(unordered_pair(sK5(X4),sK6(X4)),singleton(sK5(X4))) = X4
| ~ in(X4,sK4) ),
inference(definition_unfolding,[],[f63,f78]) ).
fof(f78,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f63,plain,
! [X4] :
( ~ in(X4,sK4)
| ordered_pair(sK5(X4),sK6(X4)) = X4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
? [X0] :
( ( ~ function(X0)
| ~ relation(X0) )
& ! [X4] :
( ? [X5,X6] : ordered_pair(X5,X6) = X4
| ~ in(X4,X0) )
& ! [X2,X1,X3] :
( ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X1,X3),X0)
| X2 = X3 ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ( ~ function(X0)
| ~ relation(X0) )
& ! [X4] :
( ? [X5,X6] : ordered_pair(X5,X6) = X4
| ~ in(X4,X0) )
& ! [X1,X2,X3] :
( X2 = X3
| ~ in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
~ ! [X0] :
( ( ! [X4] :
~ ( in(X4,X0)
& ! [X6,X5] : ordered_pair(X5,X6) != X4 )
& ! [X1,X2,X3] :
( ( in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0) )
=> X2 = X3 ) )
=> ( relation(X0)
& function(X0) ) ),
inference(rectify,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( ( ! [X1,X3,X2] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X1,X3),X0) )
=> X2 = X3 )
& ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
=> ( relation(X0)
& function(X0) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( ( ! [X1,X3,X2] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X1,X3),X0) )
=> X2 = X3 )
& ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
=> ( relation(X0)
& function(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_funct_1) ).
fof(f171,plain,
( ! [X0,X1] : sK0(sK4) != unordered_pair(singleton(X0),unordered_pair(X0,X1))
| spl15_2 ),
inference(superposition,[],[f150,f62]) ).
fof(f150,plain,
( ! [X0,X1] : unordered_pair(unordered_pair(X0,X1),singleton(X0)) != sK0(sK4)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f104,f90]) ).
fof(f90,plain,
! [X2,X3,X0] :
( unordered_pair(unordered_pair(X3,X2),singleton(X3)) != sK0(X0)
| relation(X0) ),
inference(definition_unfolding,[],[f55,f78]) ).
fof(f55,plain,
! [X2,X3,X0] :
( relation(X0)
| ordered_pair(X3,X2) != sK0(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f199,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f174,f111]) ).
fof(f111,plain,
( sK13(sK4) != sK14(sK4)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f100,f86]) ).
fof(f86,plain,
! [X0] :
( sK13(X0) != sK14(X0)
| function(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X3,X2,X1] :
( X1 = X2
| ~ in(ordered_pair(X3,X1),X0)
| ~ in(ordered_pair(X3,X2),X0) )
<=> function(X0) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0] :
( function(X0)
<=> ! [X2,X1,X3] :
( X1 = X2
| ~ in(ordered_pair(X3,X2),X0)
| ~ in(ordered_pair(X3,X1),X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( function(X0)
<=> ! [X2,X1,X3] :
( ( in(ordered_pair(X3,X2),X0)
& in(ordered_pair(X3,X1),X0) )
=> X1 = X2 ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ! [X2,X3,X1] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X1,X3),X0) )
=> X2 = X3 )
<=> function(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_1) ).
fof(f100,plain,
( ~ function(sK4)
| spl15_1 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl15_1
<=> function(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f174,plain,
( sK13(sK4) = sK14(sK4)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f113,f114,f108]) ).
fof(f108,plain,
! [X2,X3,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),sK4)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),sK4)
| X2 = X3 ),
inference(forward_demodulation,[],[f107,f62]) ).
fof(f107,plain,
! [X2,X3,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),sK4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),sK4)
| X2 = X3 ),
inference(forward_demodulation,[],[f91,f62]) ).
fof(f91,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ in(unordered_pair(unordered_pair(X1,X3),singleton(X1)),sK4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),sK4) ),
inference(definition_unfolding,[],[f64,f78,f78]) ).
fof(f64,plain,
! [X2,X3,X1] :
( X2 = X3
| ~ in(ordered_pair(X1,X3),sK4)
| ~ in(ordered_pair(X1,X2),sK4) ),
inference(cnf_transformation,[],[f46]) ).
fof(f114,plain,
( in(unordered_pair(singleton(sK12(sK4)),unordered_pair(sK12(sK4),sK14(sK4))),sK4)
| spl15_1 ),
inference(forward_demodulation,[],[f112,f62]) ).
fof(f112,plain,
( in(unordered_pair(unordered_pair(sK12(sK4),sK14(sK4)),singleton(sK12(sK4))),sK4)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f100,f95]) ).
fof(f95,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK12(X0),sK14(X0)),singleton(sK12(X0))),X0)
| function(X0) ),
inference(definition_unfolding,[],[f85,f78]) ).
fof(f85,plain,
! [X0] :
( function(X0)
| in(ordered_pair(sK12(X0),sK14(X0)),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f113,plain,
( in(unordered_pair(singleton(sK12(sK4)),unordered_pair(sK12(sK4),sK13(sK4))),sK4)
| spl15_1 ),
inference(forward_demodulation,[],[f109,f62]) ).
fof(f109,plain,
( in(unordered_pair(unordered_pair(sK12(sK4),sK13(sK4)),singleton(sK12(sK4))),sK4)
| spl15_1 ),
inference(unit_resulting_resolution,[],[f100,f96]) ).
fof(f96,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK12(X0),sK13(X0)),singleton(sK12(X0))),X0)
| function(X0) ),
inference(definition_unfolding,[],[f84,f78]) ).
fof(f84,plain,
! [X0] :
( function(X0)
| in(ordered_pair(sK12(X0),sK13(X0)),X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f105,plain,
( ~ spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f65,f102,f98]) ).
fof(f65,plain,
( ~ relation(sK4)
| ~ function(sK4) ),
inference(cnf_transformation,[],[f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET988+1 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:30:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (1590)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)
% 0.20/0.55 % (1591)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)
% 0.20/0.56 % (1591)First to succeed.
% 0.20/0.56 % (1606)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)
% 0.20/0.56 % (1599)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)
% 0.20/0.56 % (1598)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)
% 0.20/0.57 % (1607)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)
% 0.20/0.57 % (1608)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)
% 0.20/0.57 % (1600)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.57 % (1588)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.58 % (1591)Refutation found. Thanks to Tanya!
% 0.20/0.58 % SZS status Theorem for theBenchmark
% 0.20/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.58 % (1591)------------------------------
% 0.20/0.58 % (1591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (1591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (1591)Termination reason: Refutation
% 0.20/0.58
% 0.20/0.58 % (1591)Memory used [KB]: 6140
% 0.20/0.58 % (1591)Time elapsed: 0.137 s
% 0.20/0.58 % (1591)Instructions burned: 9 (million)
% 0.20/0.58 % (1591)------------------------------
% 0.20/0.58 % (1591)------------------------------
% 0.20/0.58 % (1582)Success in time 0.217 s
%------------------------------------------------------------------------------