TSTP Solution File: SEU519_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU519_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 15:34:51 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 138 ( 10 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 76 ( 27 ~; 14 |; 10 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 66 ( 59 fml; 7 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 11 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 46 ( 41 !; 5 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(f42,plain,
$false,
inference(unit_resulting_resolution,[],[f24,f33,f31]) ).
tff(f31,plain,
! [X0: $i,X1: $i] :
( in(sK1(X0,X1),X1)
| in(X1,powerset(X0)) ),
inference(subsumption_resolution,[],[f26,f23]) ).
tff(f23,plain,
powersetI,
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
( ~ in(emptyset,powerset(sK0))
& powersetI
& emptysetE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f18]) ).
tff(f18,plain,
( ? [X0] : ~ in(emptyset,powerset(X0))
=> ~ in(emptyset,powerset(sK0)) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X0] : ~ in(emptyset,powerset(X0))
& powersetI
& emptysetE ),
inference(flattening,[],[f14]) ).
tff(f14,plain,
( ? [X0] : ~ in(emptyset,powerset(X0))
& powersetI
& emptysetE ),
inference(ennf_transformation,[],[f11]) ).
tff(f11,plain,
~ ( emptysetE
=> ( powersetI
=> ! [X0] : in(emptyset,powerset(X0)) ) ),
inference(rectify,[],[f4]) ).
tff(f4,negated_conjecture,
~ ( emptysetE
=> ( powersetI
=> ! [X2] : in(emptyset,powerset(X2)) ) ),
inference(negated_conjecture,[],[f3]) ).
tff(f3,conjecture,
( emptysetE
=> ( powersetI
=> ! [X2] : in(emptyset,powerset(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptyinPowerset) ).
tff(f26,plain,
! [X0: $i,X1: $i] :
( in(X1,powerset(X0))
| in(sK1(X0,X1),X1)
| ~ powersetI ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
( ! [X0,X1] :
( in(X1,powerset(X0))
| ( ~ in(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1) ) )
| ~ powersetI ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f20]) ).
tff(f20,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) )
=> ( ~ in(sK1(X0,X1),X0)
& in(sK1(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
( ! [X0,X1] :
( in(X1,powerset(X0))
| ? [X2] :
( ~ in(X2,X0)
& in(X2,X1) ) )
| ~ powersetI ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
( powersetI
=> ! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
=> in(X1,powerset(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
tff(f10,plain,
( powersetI
<=> ! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
=> in(X1,powerset(X0)) ) ),
inference(fool_elimination,[],[f9]) ).
tff(f9,plain,
( powersetI
= ( ! [X0,X1] :
( ! [X2] :
( in(X2,X1)
=> in(X2,X0) )
=> in(X1,powerset(X0)) ) ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
( powersetI
= ( ! [X2,X3] :
( ! [X0] :
( in(X0,X3)
=> in(X0,X2) )
=> in(X3,powerset(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',powersetI) ).
tff(f33,plain,
! [X0: $i] : ~ in(X0,emptyset),
inference(unit_resulting_resolution,[],[f32,f28]) ).
tff(f28,plain,
! [X0: $i] :
( ~ in(X0,emptyset)
| sP2 ),
inference(cnf_transformation,[],[f28_D]) ).
tff(f28_D,plain,
( ! [X0] : ~ in(X0,emptyset)
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
tff(f32,plain,
~ sP2,
inference(unit_resulting_resolution,[],[f22,f5,f29]) ).
tff(f29,plain,
! [X1: $o] :
( ~ sP2
| ~ emptysetE
| ( $true = (X1) ) ),
inference(general_splitting,[],[f25,f28_D]) ).
tff(f25,plain,
! [X0: $i,X1: $o] :
( ( $true = (X1) )
| ~ in(X0,emptyset)
| ~ emptysetE ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
( ! [X0] :
( ! [X1: $o] : ( $true = (X1) )
| ~ in(X0,emptyset) )
| ~ emptysetE ),
inference(ennf_transformation,[],[f13]) ).
tff(f13,plain,
( emptysetE
=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
tff(f8,plain,
( emptysetE
<=> ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : ( $true = (X1) ) ) ),
inference(fool_elimination,[],[f7]) ).
tff(f7,plain,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( emptysetE
= ( ! [X0] :
( in(X0,emptyset)
=> ! [X1: $o] : (X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',emptysetE) ).
tff(f5,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f22,plain,
emptysetE,
inference(cnf_transformation,[],[f19]) ).
tff(f24,plain,
~ in(emptyset,powerset(sK0)),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU519_8 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 21:18:47 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.36 % (17156)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (17159)WARNING: value z3 for option sas not known
% 0.21/0.38 % (17160)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (17157)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (17158)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (17162)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)
% 0.21/0.38 % (17159)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)
% 0.21/0.38 % (17161)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)
% 0.21/0.38 % (17163)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)
% 0.21/0.38 Detected minimum model sizes of [1,1]
% 0.21/0.38 Detected maximum model sizes of [max,2]
% 0.21/0.38 % (17163)First to succeed.
% 0.21/0.38 TRYING [1,1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1,2]
% 0.21/0.38 TRYING [2,2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (17162)Also succeeded, but the first one will report.
% 0.21/0.38 TRYING [3,2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 % (17161)Also succeeded, but the first one will report.
% 0.21/0.38 % (17163)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Theorem for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (17163)------------------------------
% 0.21/0.38 % (17163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (17163)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (17163)Memory used [KB]: 755
% 0.21/0.38 % (17163)Time elapsed: 0.004 s
% 0.21/0.38 % (17163)Instructions burned: 3 (million)
% 0.21/0.38 % (17163)------------------------------
% 0.21/0.38 % (17163)------------------------------
% 0.21/0.38 % (17156)Success in time 0.02 s
%------------------------------------------------------------------------------