TSTP Solution File: SEU746_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU746_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 May 21 04:06:35 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 285 ( 34 equ)
% Maximal formula atoms : 18 ( 11 avg)
% Number of connectives : 171 ( 42 ~; 34 |; 51 &)
% ( 1 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 173 ( 140 fml; 33 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 66 ( 41 !; 25 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_7,type,
sK3: $o ).
tff(f94,plain,
$false,
inference(unit_resulting_resolution,[],[f27,f28,f22,f29]) ).
tff(f29,plain,
! [X2: $i,X0: $i,X1: $i] :
( ~ in(X2,binunion(X0,X1))
| in(X2,X0)
| in(X2,X1) ),
inference(subsumption_resolution,[],[f26,f18]) ).
tff(f18,plain,
binunionE,
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
( ( $true != sK3 )
& ( ( $true = sK3 )
| ~ in(sK4,sK2) )
& ( ( $true = sK3 )
| ~ in(sK4,sK1) )
& in(sK4,binunion(sK1,sK2))
& in(sK4,sK0)
& in(sK2,powerset(sK0))
& in(sK1,powerset(sK0))
& binunionE ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f11,f16,f15,f14]) ).
tff(f14,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
=> ( ? [X2] :
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,X2))
& in(X4,sK0) )
& in(X2,powerset(sK0)) )
& in(sK1,powerset(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
( ? [X2] :
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,X2))
& in(X4,sK0) )
& in(X2,powerset(sK0)) )
=> ( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,sK2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,sK2))
& in(X4,sK0) )
& in(sK2,powerset(sK0)) ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
( ? [X4,X3: $o] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,sK2) )
& ( ( $true = (X3) )
| ~ in(X4,sK1) )
& in(X4,binunion(sK1,sK2))
& in(X4,sK0) )
=> ( ( $true != sK3 )
& ( ( $true = sK3 )
| ~ in(sK4,sK2) )
& ( ( $true = sK3 )
| ~ in(sK4,sK1) )
& in(sK4,binunion(sK1,sK2))
& in(sK4,sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
& binunionE ),
inference(flattening,[],[f10]) ).
tff(f10,plain,
( ? [X0,X1] :
( ? [X2] :
( ? [X3: $o,X4] :
( ( $true != (X3) )
& ( ( $true = (X3) )
| ~ in(X4,X2) )
& ( ( $true = (X3) )
| ~ in(X4,X1) )
& in(X4,binunion(X1,X2))
& in(X4,X0) )
& in(X2,powerset(X0)) )
& in(X1,powerset(X0)) )
& binunionE ),
inference(ennf_transformation,[],[f7]) ).
tff(f7,plain,
~ ( binunionE
=> ! [X0,X1] :
( in(X1,powerset(X0))
=> ! [X2] :
( in(X2,powerset(X0))
=> ! [X3: $o,X4] :
( in(X4,X0)
=> ( in(X4,binunion(X1,X2))
=> ( ( in(X4,X1)
=> ( $true = (X3) ) )
=> ( ( in(X4,X2)
=> ( $true = (X3) ) )
=> ( $true = (X3) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
tff(f6,plain,
~ ( binunionE
=> ! [X0,X1] :
( in(X1,powerset(X0))
=> ! [X2] :
( in(X2,powerset(X0))
=> ! [X3: $o,X4] :
( in(X4,X0)
=> ( in(X4,binunion(X1,X2))
=> ( ( in(X4,X1)
=> (X3) )
=> ( ( in(X4,X2)
=> (X3) )
=> (X3) ) ) ) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f3,negated_conjecture,
~ ( binunionE
=> ! [X0,X3] :
( in(X3,powerset(X0))
=> ! [X4] :
( in(X4,powerset(X0))
=> ! [X5: $o,X2] :
( in(X2,X0)
=> ( in(X2,binunion(X3,X4))
=> ( ( in(X2,X3)
=> (X5) )
=> ( ( in(X2,X4)
=> (X5) )
=> (X5) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
( binunionE
=> ! [X0,X3] :
( in(X3,powerset(X0))
=> ! [X4] :
( in(X4,powerset(X0))
=> ! [X5: $o,X2] :
( in(X2,X0)
=> ( in(X2,binunion(X3,X4))
=> ( ( in(X2,X3)
=> (X5) )
=> ( ( in(X2,X4)
=> (X5) )
=> (X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionTE) ).
tff(f26,plain,
! [X2: $i,X0: $i,X1: $i] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1))
| ~ binunionE ),
inference(cnf_transformation,[],[f13]) ).
tff(f13,plain,
( ! [X0,X1,X2] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1)) )
| ~ binunionE ),
inference(flattening,[],[f12]) ).
tff(f12,plain,
( ! [X0,X1,X2] :
( in(X2,X1)
| in(X2,X0)
| ~ in(X2,binunion(X0,X1)) )
| ~ binunionE ),
inference(ennf_transformation,[],[f9]) ).
tff(f9,plain,
( binunionE
=> ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
tff(f8,plain,
( binunionE
<=> ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(fool_elimination,[],[f1]) ).
tff(f1,axiom,
( binunionE
= ( ! [X0,X1,X2] :
( in(X2,binunion(X0,X1))
=> ( in(X2,X1)
| in(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binunionE) ).
tff(f22,plain,
in(sK4,binunion(sK1,sK2)),
inference(cnf_transformation,[],[f17]) ).
tff(f28,plain,
~ in(sK4,sK1),
inference(subsumption_resolution,[],[f23,f25]) ).
tff(f25,plain,
$true != sK3,
inference(cnf_transformation,[],[f17]) ).
tff(f23,plain,
( ( $true = sK3 )
| ~ in(sK4,sK1) ),
inference(cnf_transformation,[],[f17]) ).
tff(f27,plain,
~ in(sK4,sK2),
inference(subsumption_resolution,[],[f24,f25]) ).
tff(f24,plain,
( ( $true = sK3 )
| ~ in(sK4,sK2) ),
inference(cnf_transformation,[],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU746_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 15:37:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23025)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23032)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)
% 0.15/0.37 % (23031)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)
% 0.15/0.37 % (23029)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (23030)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)
% 0.15/0.37 % (23028)WARNING: value z3 for option sas not known
% 0.15/0.37 Detected minimum model sizes of [1,1]
% 0.15/0.37 Detected maximum model sizes of [max,3]
% 0.15/0.37 TRYING [1,1]
% 0.15/0.37 TRYING [1,2]
% 0.15/0.37 TRYING [2,2]
% 0.15/0.37 % (23032)First to succeed.
% 0.15/0.37 TRYING [1,3]
% 0.15/0.37 % (23026)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (23027)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 [2,3]
% 0.15/0.37 % (23031)Also succeeded, but the first one will report.
% 0.15/0.37 % (23030)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [3,2]
% 0.15/0.37 % (23032)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23025"
% 0.15/0.37 % (23028)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)
% 0.15/0.38 % (23032)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 % (23032)------------------------------
% 0.15/0.38 % (23032)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (23032)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (23032)Memory used [KB]: 757
% 0.15/0.38 % (23032)Time elapsed: 0.005 s
% 0.15/0.38 % (23032)Instructions burned: 5 (million)
% 0.15/0.38 % (23025)Success in time 0.005 s
%------------------------------------------------------------------------------