TSTP Solution File: SEU150+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SEU150+1 : 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 : n011.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 Apr 30 15:22:37 EDT 2024
% Result : Theorem 0.16s 0.33s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 12 ~; 5 |; 4 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 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(f32,plain,
$false,
inference(trivial_inequality_removal,[],[f31]) ).
fof(f31,plain,
sK1 != sK1,
inference(superposition,[],[f12,f26]) ).
fof(f26,plain,
sK1 = sK2,
inference(equality_resolution,[],[f25]) ).
fof(f25,plain,
! [X0] :
( singleton(X0) != singleton(sK1)
| sK2 = X0 ),
inference(superposition,[],[f16,f20]) ).
fof(f20,plain,
unordered_pair(sK1,sK2) = singleton(sK1),
inference(backward_demodulation,[],[f11,f18]) ).
fof(f18,plain,
sK0 = sK1,
inference(equality_resolution,[],[f15]) ).
fof(f15,plain,
! [X0] :
( singleton(X0) != singleton(sK0)
| sK1 = X0 ),
inference(superposition,[],[f14,f11]) ).
fof(f14,plain,
! [X2,X0,X1] :
( singleton(X0) != unordered_pair(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2] :
( X0 = X1
| singleton(X0) != unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).
fof(f11,plain,
singleton(sK0) = unordered_pair(sK1,sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( sK1 != sK2
& singleton(sK0) = unordered_pair(sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f9]) ).
fof(f9,plain,
( ? [X0,X1,X2] :
( X1 != X2
& singleton(X0) = unordered_pair(X1,X2) )
=> ( sK1 != sK2
& singleton(sK0) = unordered_pair(sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1,X2] :
( X1 != X2
& singleton(X0) = unordered_pair(X1,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X1 = X2 ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
! [X0,X1,X2] :
( singleton(X0) = unordered_pair(X1,X2)
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).
fof(f16,plain,
! [X2,X0,X1] :
( unordered_pair(X1,X0) != singleton(X2)
| X0 = X2 ),
inference(superposition,[],[f14,f13]) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f12,plain,
sK1 != sK2,
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU150+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Mon Apr 29 20:37:01 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (7490)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (7493)WARNING: value z3 for option sas not known
% 0.16/0.33 % (7491)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (7495)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)
% 0.16/0.33 % (7493)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)
% 0.16/0.33 % (7496)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)
% 0.16/0.33 % (7492)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (7494)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (7497)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)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 % (7496)First to succeed.
% 0.16/0.33 TRYING [4]
% 0.16/0.33 % (7495)Also succeeded, but the first one will report.
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 % (7493)Also succeeded, but the first one will report.
% 0.16/0.33 % (7496)Refutation found. Thanks to Tanya!
% 0.16/0.33 % SZS status Theorem for theBenchmark
% 0.16/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.33 % (7496)------------------------------
% 0.16/0.33 % (7496)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.33 % (7496)Termination reason: Refutation
% 0.16/0.33
% 0.16/0.33 % (7496)Memory used [KB]: 765
% 0.16/0.33 % (7496)Time elapsed: 0.004 s
% 0.16/0.33 % (7496)Instructions burned: 4 (million)
% 0.16/0.33 % (7496)------------------------------
% 0.16/0.33 % (7496)------------------------------
% 0.16/0.33 % (7490)Success in time 0.017 s
%------------------------------------------------------------------------------