TSTP Solution File: SEU122+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU122+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 03:53:04 EDT 2024
% Result : Theorem 0.18s 0.36s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 12 unt; 0 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 27 ~; 15 |; 9 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 32 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,plain,
$false,
inference(unit_resulting_resolution,[],[f30,f49,f36]) ).
fof(f36,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f23,f24]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK1(X0,X1),X1)
& in(sK1(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,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,[],[f22]) ).
fof(f22,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,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f49,plain,
! [X0] : ~ in(X0,empty_set),
inference(forward_demodulation,[],[f48,f43]) ).
fof(f43,plain,
empty_set = sK3,
inference(unit_resulting_resolution,[],[f41,f32]) ).
fof(f32,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f41,plain,
empty(sK3),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
empty(sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f5,f28]) ).
fof(f28,plain,
( ? [X0] : empty(X0)
=> empty(sK3) ),
introduced(choice_axiom,[]) ).
fof(f5,axiom,
? [X0] : empty(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f48,plain,
! [X0] : ~ in(X0,sK3),
inference(unit_resulting_resolution,[],[f41,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f30,plain,
~ subset(empty_set,sK0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
~ subset(empty_set,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f14,f20]) ).
fof(f20,plain,
( ? [X0] : ~ subset(empty_set,X0)
=> ~ subset(empty_set,sK0) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0] : ~ subset(empty_set,X0),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0] : subset(empty_set,X0),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0] : subset(empty_set,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU122+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 17:42:53 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % (9000)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.35 % (9003)WARNING: value z3 for option sas not known
% 0.18/0.36 % (9004)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (9001)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % (9005)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)
% 0.18/0.36 % (9002)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (9007)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)
% 0.18/0.36 % (9003)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)
% 0.18/0.36 % (9006)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)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 TRYING [3]
% 0.18/0.36 % (9007)First to succeed.
% 0.18/0.36 % (9006)Also succeeded, but the first one will report.
% 0.18/0.36 TRYING [4]
% 0.18/0.36 TRYING [4]
% 0.18/0.36 % (9007)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9000"
% 0.18/0.36 % (9005)Also succeeded, but the first one will report.
% 0.18/0.36 TRYING [5]
% 0.18/0.36 TRYING [5]
% 0.18/0.36 % (9003)Also succeeded, but the first one will report.
% 0.18/0.36 TRYING [1]
% 0.18/0.36 % (9007)Refutation found. Thanks to Tanya!
% 0.18/0.36 % SZS status Theorem for theBenchmark
% 0.18/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.36 % (9007)------------------------------
% 0.18/0.36 % (9007)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.36 % (9007)Termination reason: Refutation
% 0.18/0.36
% 0.18/0.36 % (9007)Memory used [KB]: 757
% 0.18/0.36 % (9007)Time elapsed: 0.004 s
% 0.18/0.36 % (9007)Instructions burned: 3 (million)
% 0.18/0.36 % (9000)Success in time 0.008 s
%------------------------------------------------------------------------------