TSTP Solution File: SET704+4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET704+4 : 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 : n032.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 09:18:47 EDT 2024
% Result : Theorem 0.09s 0.29s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 99 ( 39 ~; 26 |; 20 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 51 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f350,plain,
$false,
inference(resolution,[],[f340,f51]) ).
fof(f51,plain,
member(sK1,sK0),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ~ subset(product(sK0),sK1)
& member(sK1,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f24,f27]) ).
fof(f27,plain,
( ? [X0,X1] :
( ~ subset(product(X0),X1)
& member(X1,X0) )
=> ( ~ subset(product(sK0),sK1)
& member(sK1,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1] :
( ~ subset(product(X0),X1)
& member(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1] :
( member(X1,X0)
=> subset(product(X0),X1) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X2] :
( member(X2,X0)
=> subset(product(X0),X2) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X2] :
( member(X2,X0)
=> subset(product(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI42) ).
fof(f340,plain,
~ member(sK1,sK0),
inference(resolution,[],[f335,f52]) ).
fof(f52,plain,
~ subset(product(sK0),sK1),
inference(cnf_transformation,[],[f28]) ).
fof(f335,plain,
( subset(product(sK0),sK1)
| ~ member(sK1,sK0) ),
inference(resolution,[],[f303,f55]) ).
fof(f55,plain,
! [X0,X1] :
( member(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f30,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,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,[],[f29]) ).
fof(f29,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,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f303,plain,
! [X0] :
( ~ member(sK2(product(sK0),sK1),product(X0))
| ~ member(sK1,X0) ),
inference(resolution,[],[f64,f87]) ).
fof(f87,plain,
~ member(sK2(product(sK0),sK1),sK1),
inference(resolution,[],[f56,f52]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
! [X3,X0,X1] :
( member(X0,X3)
| ~ member(X3,X1)
| ~ member(X0,product(X1)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ( ~ member(X0,sK4(X0,X1))
& member(sK4(X0,X1),X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f40,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) )
=> ( ~ member(X0,sK4(X0,X1))
& member(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X3] :
( member(X0,X3)
| ~ member(X3,X1) )
| ~ member(X0,product(X1)) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( member(X0,product(X1))
| ? [X2] :
( ~ member(X0,X2)
& member(X2,X1) ) )
& ( ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) )
| ~ member(X0,product(X1)) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X0,X2)
| ~ member(X2,X1) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( member(X0,product(X1))
<=> ! [X2] :
( member(X2,X1)
=> member(X0,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X0] :
( member(X2,product(X0))
<=> ! [X4] :
( member(X4,X0)
=> member(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SET704+4 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Fri May 3 16:43:23 EDT 2024
% 0.09/0.27 % CPUTime :
% 0.09/0.28 % (17064)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.29 % (17070)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)
% 0.09/0.29 % (17065)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.29 % (17071)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)
% 0.09/0.29 % (17066)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.29 % (17072)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)
% 0.09/0.29 % (17067)WARNING: value z3 for option sas not known
% 0.09/0.29 TRYING [1]
% 0.09/0.29 TRYING [2]
% 0.09/0.29 % (17067)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)
% 0.09/0.29 % (17069)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.29 % (17071)First to succeed.
% 0.09/0.29 % (17071)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17064"
% 0.09/0.29 TRYING [1]
% 0.09/0.29 % (17071)Refutation found. Thanks to Tanya!
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.29 % (17071)------------------------------
% 0.09/0.29 % (17071)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.09/0.29 % (17071)Termination reason: Refutation
% 0.09/0.29
% 0.09/0.29 % (17071)Memory used [KB]: 987
% 0.09/0.29 % (17071)Time elapsed: 0.009 s
% 0.09/0.29 % (17071)Instructions burned: 18 (million)
% 0.09/0.29 % (17064)Success in time 0.017 s
%------------------------------------------------------------------------------