TSTP Solution File: SET886+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 09:19:36 EDT 2024
% Result : Theorem 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 13 unt; 0 def)
% Number of atoms : 33 ( 20 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 3 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 24 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,plain,
$false,
inference(trivial_inequality_removal,[],[f41]) ).
fof(f41,plain,
singleton(sK0) != singleton(sK0),
inference(superposition,[],[f38,f20]) ).
fof(f20,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f38,plain,
singleton(sK0) != unordered_pair(sK0,sK0),
inference(backward_demodulation,[],[f31,f34]) ).
fof(f34,plain,
sK0 = sK1,
inference(resolution,[],[f28,f30]) ).
fof(f30,plain,
subset(unordered_pair(sK0,sK1),singleton(sK0)),
inference(backward_demodulation,[],[f18,f26]) ).
fof(f26,plain,
sK0 = sK2,
inference(resolution,[],[f23,f18]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X0,X1),singleton(X2))
| X0 = X2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_zfmisc_1) ).
fof(f18,plain,
subset(unordered_pair(sK0,sK1),singleton(sK2)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( unordered_pair(sK0,sK1) != singleton(sK2)
& subset(unordered_pair(sK0,sK1),singleton(sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f10,f12]) ).
fof(f12,plain,
( ? [X0,X1,X2] :
( unordered_pair(X0,X1) != singleton(X2)
& subset(unordered_pair(X0,X1),singleton(X2)) )
=> ( unordered_pair(sK0,sK1) != singleton(sK2)
& subset(unordered_pair(sK0,sK1),singleton(sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
? [X0,X1,X2] :
( unordered_pair(X0,X1) != singleton(X2)
& subset(unordered_pair(X0,X1),singleton(X2)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
! [X0,X1,X2] :
( subset(unordered_pair(X0,X1),singleton(X2))
=> unordered_pair(X0,X1) = singleton(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_zfmisc_1) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ subset(unordered_pair(X1,X0),singleton(X2))
| X0 = X2 ),
inference(superposition,[],[f23,f22]) ).
fof(f22,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f31,plain,
unordered_pair(sK0,sK1) != singleton(sK0),
inference(backward_demodulation,[],[f19,f26]) ).
fof(f19,plain,
unordered_pair(sK0,sK1) != singleton(sK2),
inference(cnf_transformation,[],[f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.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
% 0.15/0.36 % DateTime : Fri May 3 17:03:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (5454)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (5457)WARNING: value z3 for option sas not known
% 0.15/0.38 % (5455)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (5458)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (5456)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 % (5457)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 % (5460)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 % (5459)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 % (5461)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]
% 0.15/0.38 % (5460)First to succeed.
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (5459)Also succeeded, but the first one will report.
% 0.15/0.38 % (5461)Also succeeded, but the first one will report.
% 0.15/0.38 % (5460)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5454"
% 0.15/0.38 % (5457)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (5460)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 % (5460)------------------------------
% 0.15/0.38 % (5460)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (5460)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (5460)Memory used [KB]: 766
% 0.15/0.38 % (5460)Time elapsed: 0.004 s
% 0.15/0.38 % (5460)Instructions burned: 4 (million)
% 0.15/0.38 % (5454)Success in time 0.02 s
%------------------------------------------------------------------------------