TSTP Solution File: SWV056+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 10:42:40 EDT 2024
% Result : Theorem 0.16s 0.36s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 37 unt; 0 def)
% Number of atoms : 76 ( 40 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 55 ( 27 ~; 16 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f440,plain,
$false,
inference(resolution,[],[f438,f246]) ).
fof(f246,plain,
leq(n0,pv25),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
( ( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) )
& leq(pv25,minus(n5,n1))
& leq(n0,pv25) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv25,minus(n5,n1))
& leq(n0,pv25) )
=> ( leq(pv25,minus(n5,n1))
& leq(n0,pv25)
& n0 = sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0040) ).
fof(f438,plain,
~ leq(n0,pv25),
inference(resolution,[],[f436,f437]) ).
fof(f437,plain,
leq(pv25,n4),
inference(backward_demodulation,[],[f405,f432]) ).
fof(f432,plain,
n4 = pred(n5),
inference(superposition,[],[f280,f415]) ).
fof(f415,plain,
n5 = succ(n4),
inference(forward_demodulation,[],[f414,f411]) ).
fof(f411,plain,
n4 = succ(n3),
inference(forward_demodulation,[],[f410,f408]) ).
fof(f408,plain,
n3 = succ(n2),
inference(forward_demodulation,[],[f407,f406]) ).
fof(f406,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f273,f271]) ).
fof(f271,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f273,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f407,plain,
n3 = succ(succ(n1)),
inference(forward_demodulation,[],[f274,f271]) ).
fof(f274,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f86]) ).
fof(f86,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f410,plain,
n4 = succ(succ(n2)),
inference(forward_demodulation,[],[f409,f406]) ).
fof(f409,plain,
n4 = succ(succ(succ(n1))),
inference(forward_demodulation,[],[f275,f271]) ).
fof(f275,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f414,plain,
n5 = succ(succ(n3)),
inference(forward_demodulation,[],[f413,f408]) ).
fof(f413,plain,
n5 = succ(succ(succ(n2))),
inference(forward_demodulation,[],[f412,f406]) ).
fof(f412,plain,
n5 = succ(succ(succ(succ(n1)))),
inference(forward_demodulation,[],[f276,f271]) ).
fof(f276,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f83]) ).
fof(f83,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f280,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] : pred(succ(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_succ) ).
fof(f405,plain,
leq(pv25,pred(n5)),
inference(forward_demodulation,[],[f247,f285]) ).
fof(f285,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).
fof(f247,plain,
leq(pv25,minus(n5,n1)),
inference(cnf_transformation,[],[f109]) ).
fof(f436,plain,
( ~ leq(pv25,n4)
| ~ leq(n0,pv25) ),
inference(backward_demodulation,[],[f435,f432]) ).
fof(f435,plain,
( ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25) ),
inference(trivial_inequality_removal,[],[f434]) ).
fof(f434,plain,
( n0 != n0
| ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25) ),
inference(forward_demodulation,[],[f433,f282]) ).
fof(f282,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X22] : n0 = sum(n0,tptp_minus_1,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_plus_base) ).
fof(f433,plain,
( n0 != sum(n0,tptp_minus_1,a_select3(q,pv77,pv25))
| ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25) ),
inference(backward_demodulation,[],[f404,f428]) ).
fof(f428,plain,
tptp_minus_1 = pred(n0),
inference(superposition,[],[f280,f272]) ).
fof(f272,plain,
n0 = succ(tptp_minus_1),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n0 = succ(tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_tptp_minus_1) ).
fof(f404,plain,
( n0 != sum(n0,pred(n0),a_select3(q,pv77,pv25))
| ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25) ),
inference(forward_demodulation,[],[f403,f285]) ).
fof(f403,plain,
( ~ leq(pv25,pred(n5))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ),
inference(forward_demodulation,[],[f248,f285]) ).
fof(f248,plain,
( ~ leq(pv25,minus(n5,n1))
| ~ leq(n0,pv25)
| n0 != sum(n0,minus(n0,n1),a_select3(q,pv77,pv25)) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV056+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 20:57:08 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (13295)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.34 % (13298)WARNING: value z3 for option sas not known
% 0.16/0.35 % (13299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.35 % (13302)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)
% 0.16/0.35 % (13301)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)
% 0.16/0.35 % (13296)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.35 % (13298)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)
% 0.16/0.35 % (13300)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)
% 0.16/0.35 % (13297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.35 % (13301)First to succeed.
% 0.16/0.35 % (13301)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13295"
% 0.16/0.36 % (13301)Refutation found. Thanks to Tanya!
% 0.16/0.36 % SZS status Theorem for theBenchmark
% 0.16/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.36 % (13301)------------------------------
% 0.16/0.36 % (13301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.36 % (13301)Termination reason: Refutation
% 0.16/0.36
% 0.16/0.36 % (13301)Memory used [KB]: 1125
% 0.16/0.36 % (13301)Time elapsed: 0.010 s
% 0.16/0.36 % (13301)Instructions burned: 16 (million)
% 0.16/0.36 % (13295)Success in time 0.027 s
%------------------------------------------------------------------------------