TSTP Solution File: SEU126+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 09:27:06 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 61 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 57 ( 24 ~; 18 |; 10 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1109,plain,
$false,
inference(subsumption_resolution,[],[f1057,f94]) ).
fof(f94,plain,
sK3 != set_union2(sK2,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( sK3 != set_union2(sK2,sK3)
& subset(sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f40,f60]) ).
fof(f60,plain,
( ? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) )
=> ( sK3 != set_union2(sK2,sK3)
& subset(sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1] :
( set_union2(X0,X1) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
inference(negated_conjecture,[],[f22]) ).
fof(f22,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> set_union2(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f1057,plain,
sK3 = set_union2(sK2,sK3),
inference(superposition,[],[f1056,f114]) ).
fof(f114,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f1056,plain,
sK3 = set_union2(sK3,sK2),
inference(resolution,[],[f1041,f93]) ).
fof(f93,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f1041,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| set_union2(X0,X1) = X0 ),
inference(subsumption_resolution,[],[f1030,f110]) ).
fof(f110,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f1030,plain,
! [X0,X1] :
( set_union2(X0,X1) = X0
| ~ subset(X1,X0)
| ~ subset(X0,X0) ),
inference(resolution,[],[f402,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f402,plain,
! [X0,X1] :
( ~ subset(set_union2(X0,X1),X0)
| set_union2(X0,X1) = X0 ),
inference(resolution,[],[f121,f97]) ).
fof(f97,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f121,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU126+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.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 11:59:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (11814)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (11817)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (11819)WARNING: value z3 for option sas not known
% 0.15/0.38 % (11818)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (11820)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (11819)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 % (11821)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)
% 0.15/0.38 % (11822)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)
% 0.15/0.38 % (11823)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.22/0.40 TRYING [3]
% 0.22/0.40 % (11819)First to succeed.
% 0.22/0.41 % (11819)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11814"
% 0.22/0.41 % (11819)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (11819)------------------------------
% 0.22/0.41 % (11819)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (11819)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (11819)Memory used [KB]: 1013
% 0.22/0.41 % (11819)Time elapsed: 0.032 s
% 0.22/0.41 % (11819)Instructions burned: 47 (million)
% 0.22/0.41 % (11814)Success in time 0.048 s
%------------------------------------------------------------------------------