TSTP Solution File: SET596+3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET596+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : Sun May 5 09:14:20 EDT 2024
% Result : Theorem 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 82 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 34 ~; 20 |; 20 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 49 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(trivial_inequality_removal,[],[f153]) ).
fof(f153,plain,
empty_set != empty_set,
inference(superposition,[],[f34,f132]) ).
fof(f132,plain,
empty_set = intersection(sK0,sK2),
inference(resolution,[],[f112,f37]) ).
fof(f37,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( empty_set = X0
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( subset(X0,empty_set)
=> empty_set = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_empty_set_is_empty_set) ).
fof(f112,plain,
! [X0] : subset(intersection(sK0,sK2),X0),
inference(resolution,[],[f102,f47]) ).
fof(f47,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f27,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_defn) ).
fof(f102,plain,
! [X0] : ~ member(X0,intersection(sK0,sK2)),
inference(resolution,[],[f92,f32]) ).
fof(f32,plain,
subset(sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( empty_set != intersection(sK0,sK2)
& empty_set = intersection(sK1,sK2)
& subset(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f14,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2] :
( empty_set != intersection(X0,X2)
& empty_set = intersection(X1,X2)
& subset(X0,X1) )
=> ( empty_set != intersection(sK0,sK2)
& empty_set = intersection(sK1,sK2)
& subset(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( empty_set != intersection(X0,X2)
& empty_set = intersection(X1,X2)
& subset(X0,X1) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2] :
( empty_set != intersection(X0,X2)
& empty_set = intersection(X1,X2)
& subset(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1,X2] :
( ( empty_set = intersection(X1,X2)
& subset(X0,X1) )
=> empty_set = intersection(X0,X2) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1,X2] :
( ( empty_set = intersection(X1,X2)
& subset(X0,X1) )
=> empty_set = intersection(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th55) ).
fof(f92,plain,
! [X0,X1] :
( ~ subset(X0,sK1)
| ~ member(X1,intersection(X0,sK2)) ),
inference(resolution,[],[f89,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ subset(X1,empty_set)
| ~ member(X0,X1) ),
inference(resolution,[],[f46,f35]) ).
fof(f35,plain,
! [X0] : ~ member(X0,empty_set),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ member(X0,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
fof(f46,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
! [X0] :
( subset(intersection(X0,sK2),empty_set)
| ~ subset(X0,sK1) ),
inference(superposition,[],[f49,f33]) ).
fof(f33,plain,
empty_set = intersection(sK1,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f49,plain,
! [X2,X0,X1] :
( subset(intersection(X0,X2),intersection(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( subset(intersection(X0,X2),intersection(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(intersection(X0,X2),intersection(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subset) ).
fof(f34,plain,
empty_set != intersection(sK0,sK2),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET596+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14 % 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 : Fri May 3 16:49:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.36 % (6629)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (6633)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (6632)WARNING: value z3 for option sas not known
% 0.21/0.37 % (6630)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (6631)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 % (6634)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 % (6635)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 % (6636)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 % (6632)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 TRYING [4]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (6635)First to succeed.
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (6632)Also succeeded, but the first one will report.
% 0.21/0.38 % (6635)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6629"
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 % (6635)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 % (6635)------------------------------
% 0.21/0.38 % (6635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (6635)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (6635)Memory used [KB]: 842
% 0.21/0.38 % (6635)Time elapsed: 0.006 s
% 0.21/0.38 % (6635)Instructions burned: 7 (million)
% 0.21/0.38 % (6629)Success in time 0.022 s
%------------------------------------------------------------------------------