TSTP Solution File: NUN087+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 14:40:26 EDT 2024
% Result : Theorem 0.15s 0.32s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 85 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 81 ( 26 ~; 15 |; 36 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 29 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f122,plain,
$false,
inference(resolution,[],[f121,f104]) ).
fof(f104,plain,
r1(sK19),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X1] :
( r1(X1)
| sK19 != X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f52]) ).
fof(f52,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f121,plain,
~ r1(sK19),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f120,plain,
( ~ r1(sK19)
| ~ r1(sK19) ),
inference(resolution,[],[f116,f94]) ).
fof(f94,plain,
! [X2,X1] :
( ~ r4(X2,X2,X1)
| ~ r1(X1)
| ~ r1(X2) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ r1(X1)
| ~ r4(X2,X2,X0)
| ~ r1(X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
| ! [X2] :
( ~ r4(X2,X2,X0)
| ~ r1(X2) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
& ? [X2] :
( r4(X2,X2,X0)
& r1(X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( X22 = X38
& r1(X22) )
& ? [X21] :
( r4(X21,X21,X38)
& r1(X21) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( X22 = X38
& r1(X22) )
& ? [X21] :
( r4(X21,X21,X38)
& r1(X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zerotimeszeroeqzero) ).
fof(f116,plain,
! [X0] : r4(X0,sK19,sK19),
inference(backward_demodulation,[],[f113,f110]) ).
fof(f110,plain,
! [X0] : sK5(X0) = sK19,
inference(resolution,[],[f92,f59]) ).
fof(f59,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sK3(X0) = sK4(X0)
& r1(sK4(X0))
& r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f16,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
=> ( sK3(X0) = sK4(X0)
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) )
=> ( r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f92,plain,
! [X1] :
( ~ r1(X1)
| sK19 = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f113,plain,
! [X0] : r4(X0,sK5(X0),sK19),
inference(backward_demodulation,[],[f60,f109]) ).
fof(f109,plain,
! [X0] : sK3(X0) = sK19,
inference(resolution,[],[f92,f105]) ).
fof(f105,plain,
! [X0] : r1(sK3(X0)),
inference(forward_demodulation,[],[f61,f62]) ).
fof(f62,plain,
! [X0] : sK3(X0) = sK4(X0),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0] : r4(X0,sK5(X0),sK3(X0)),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : NUN087+2 : TPTP v8.1.2. Released v7.3.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n014.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 02:20:04 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (19721)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (19724)WARNING: value z3 for option sas not known
% 0.15/0.32 % (19728)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)
% 0.15/0.32 % (19722)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (19726)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)
% 0.15/0.32 % (19725)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (19724)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)
% 0.15/0.32 % (19723)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (19727)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 % (19727)First to succeed.
% 0.15/0.32 % (19726)Also succeeded, but the first one will report.
% 0.15/0.32 TRYING [3]
% 0.15/0.32 % (19724)Also succeeded, but the first one will report.
% 0.15/0.32 % (19727)Refutation found. Thanks to Tanya!
% 0.15/0.32 % SZS status Theorem for theBenchmark
% 0.15/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32 % (19727)------------------------------
% 0.15/0.32 % (19727)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.32 % (19727)Termination reason: Refutation
% 0.15/0.32
% 0.15/0.32 % (19727)Memory used [KB]: 847
% 0.15/0.32 % (19727)Time elapsed: 0.004 s
% 0.15/0.33 % (19727)Instructions burned: 5 (million)
% 0.15/0.33 % (19727)------------------------------
% 0.15/0.33 % (19727)------------------------------
% 0.15/0.33 % (19721)Success in time 0.019 s
%------------------------------------------------------------------------------