TSTP Solution File: SEU126+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU126+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue Apr 30 15:22:17 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 6 unt; 0 def)
% Number of atoms : 140 ( 12 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 159 ( 57 ~; 58 |; 30 &)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 91 ( 81 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1844,plain,
$false,
inference(unit_resulting_resolution,[],[f330,f1063,f1051,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ sP0(X1,sK5(X0,X1,X2),X0)
| sP1(X0,X1,X2)
| ~ in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ( ~ sP0(X1,sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( sP0(X1,sK5(X0,X1,X2),X0)
| in(sK5(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,[sK5])],[f43,f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ sP0(X1,X3,X0)
| ~ in(X3,X2) )
& ( sP0(X1,X3,X0)
| in(X3,X2) ) )
=> ( ( ~ sP0(X1,sK5(X0,X1,X2),X0)
| ~ in(sK5(X0,X1,X2),X2) )
& ( sP0(X1,sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f43,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,[],[f42]) ).
fof(f42,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(f1051,plain,
sP0(sK3,sK5(sK2,sK3,sK3),sK2),
inference(subsumption_resolution,[],[f1050,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ in(X1,X0)
| sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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,[],[f47]) ).
fof(f47,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,[],[f46]) ).
fof(f46,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(f31,plain,
! [X1,X3,X0] :
( sP0(X1,X3,X0)
<=> ( in(X3,X1)
| in(X3,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1050,plain,
( sP0(sK3,sK5(sK2,sK3,sK3),sK2)
| in(sK5(sK2,sK3,sK3),sK3) ),
inference(resolution,[],[f75,f330]) ).
fof(f75,plain,
! [X2,X0,X1] :
( sP1(X0,X1,X2)
| sP0(X1,sK5(X0,X1,X2),X0)
| in(sK5(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f1063,plain,
in(sK5(sK2,sK3,sK3),sK3),
inference(subsumption_resolution,[],[f1059,f317]) ).
fof(f317,plain,
! [X0] :
( ~ in(X0,sK2)
| in(X0,sK3) ),
inference(resolution,[],[f68,f54]) ).
fof(f54,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( sK3 != set_union2(sK2,sK3)
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f23,f34]) ).
fof(f34,plain,
( ? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) )
=> ( sK3 != set_union2(sK2,sK3)
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
inference(negated_conjecture,[],[f15]) ).
fof(f15,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f68,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK4(X0,X1),X1)
& in(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,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,[],[f38]) ).
fof(f38,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,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f1059,plain,
( in(sK5(sK2,sK3,sK3),sK2)
| in(sK5(sK2,sK3,sK3),sK3) ),
inference(resolution,[],[f1051,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| in(X1,X2)
| in(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f330,plain,
~ sP1(sK2,sK3,sK3),
inference(unit_resulting_resolution,[],[f55,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| set_union2(X0,X1) = X2 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,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,[],[f4,f32,f31]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f55,plain,
sK3 != set_union2(sK2,sK3),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU126+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.33 % Computer : n010.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Mon Apr 29 20:33:05 EDT 2024
% 0.09/0.33 % CPUTime :
% 0.09/0.34 % (12463)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (12466)WARNING: value z3 for option sas not known
% 0.15/0.35 % (12467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.35 % (12470)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 theBenchmark for (497ds/0Mi)
% 0.15/0.35 % (12469)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 theBenchmark for (522ds/0Mi)
% 0.15/0.35 % (12468)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 theBenchmark for (531ds/0Mi)
% 0.15/0.35 % (12466)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 theBenchmark for (569ds/0Mi)
% 0.15/0.35 TRYING [1]
% 0.15/0.35 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.36 TRYING [4]
% 0.15/0.36 % (12465)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 TRYING [5]
% 0.15/0.37 % (12464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (12470)First to succeed.
% 0.15/0.38 % (12470)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Theorem for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (12470)------------------------------
% 0.15/0.38 % (12470)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38 % (12470)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (12470)Memory used [KB]: 1078
% 0.15/0.38 % (12470)Time elapsed: 0.027 s
% 0.15/0.38 % (12470)Instructions burned: 54 (million)
% 0.15/0.38 % (12470)------------------------------
% 0.15/0.38 % (12470)------------------------------
% 0.15/0.38 % (12463)Success in time 0.042 s
%------------------------------------------------------------------------------