TSTP Solution File: SWV048+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV048+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 : n017.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 10:42:21 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 56 ( 41 unt; 0 def)
% Number of atoms : 126 ( 66 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 131 ( 61 ~; 42 |; 22 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 14 con; 0-3 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f471,plain,
$false,
inference(resolution,[],[f470,f253]) ).
fof(f253,plain,
leq(n0,pv35),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
( ( ( ~ true
& n0 = pv78 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) )
& n0 != pv78 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
( ( ( ~ true
& n0 = pv78 )
| ( ( ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) )
& n0 != pv78 ) )
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> ( ( n0 = pv78
=> true )
& ( n0 != pv78
=> ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
& n0 = sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0016) ).
fof(f470,plain,
~ leq(n0,pv35),
inference(resolution,[],[f469,f468]) ).
fof(f468,plain,
leq(pv35,n4),
inference(backward_demodulation,[],[f427,f459]) ).
fof(f459,plain,
n4 = pred(n5),
inference(superposition,[],[f298,f442]) ).
fof(f442,plain,
n5 = succ(n4),
inference(forward_demodulation,[],[f441,f438]) ).
fof(f438,plain,
n4 = succ(n3),
inference(forward_demodulation,[],[f437,f435]) ).
fof(f435,plain,
n3 = succ(n2),
inference(forward_demodulation,[],[f434,f433]) ).
fof(f433,plain,
n2 = succ(n1),
inference(forward_demodulation,[],[f291,f289]) ).
fof(f289,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f91,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f291,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f92,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f434,plain,
n3 = succ(succ(n1)),
inference(forward_demodulation,[],[f292,f289]) ).
fof(f292,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f93,axiom,
n3 = succ(succ(succ(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f437,plain,
n4 = succ(succ(n2)),
inference(forward_demodulation,[],[f436,f433]) ).
fof(f436,plain,
n4 = succ(succ(succ(n1))),
inference(forward_demodulation,[],[f293,f289]) ).
fof(f293,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f89,axiom,
n4 = succ(succ(succ(succ(n0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f441,plain,
n5 = succ(succ(n3)),
inference(forward_demodulation,[],[f440,f435]) ).
fof(f440,plain,
n5 = succ(succ(succ(n2))),
inference(forward_demodulation,[],[f439,f433]) ).
fof(f439,plain,
n5 = succ(succ(succ(succ(n1)))),
inference(forward_demodulation,[],[f294,f289]) ).
fof(f294,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f90,axiom,
n5 = succ(succ(succ(succ(succ(n0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f298,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(f427,plain,
leq(pv35,pred(n5)),
inference(forward_demodulation,[],[f254,f303]) ).
fof(f303,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(f254,plain,
leq(pv35,minus(n5,n1)),
inference(cnf_transformation,[],[f115]) ).
fof(f469,plain,
( ~ leq(pv35,n4)
| ~ leq(n0,pv35) ),
inference(resolution,[],[f467,f259]) ).
fof(f259,plain,
true,
inference(cnf_transformation,[],[f51]) ).
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ttrue) ).
fof(f467,plain,
( ~ true
| ~ leq(pv35,n4)
| ~ leq(n0,pv35) ),
inference(backward_demodulation,[],[f463,f459]) ).
fof(f463,plain,
( ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( n0 != n0
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(forward_demodulation,[],[f460,f300]) ).
fof(f300,plain,
! [X0] : n0 = sum(n0,tptp_minus_1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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(f460,plain,
( n0 != sum(n0,tptp_minus_1,times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(backward_demodulation,[],[f431,f455]) ).
fof(f455,plain,
tptp_minus_1 = pred(n0),
inference(superposition,[],[f298,f290]) ).
fof(f290,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(f431,plain,
( n0 != sum(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f430,plain,
( pv78 != pv78
| n0 != sum(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(backward_demodulation,[],[f423,f428]) ).
fof(f428,plain,
pv78 = sum(n0,pred(n135300),a_select3(q,pv79,pv35)),
inference(forward_demodulation,[],[f252,f303]) ).
fof(f252,plain,
pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)),
inference(cnf_transformation,[],[f115]) ).
fof(f423,plain,
( n0 != sum(n0,pred(n0),times(a_select3(q,pv81,pv35),a_select2(x,pv81)))
| pv78 != sum(n0,pred(n135300),a_select3(q,pv79,pv35))
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35) ),
inference(forward_demodulation,[],[f422,f303]) ).
fof(f422,plain,
( pv78 != sum(n0,pred(n135300),a_select3(q,pv79,pv35))
| ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35)
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(forward_demodulation,[],[f421,f303]) ).
fof(f421,plain,
( ~ leq(pv35,pred(n5))
| ~ true
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(forward_demodulation,[],[f258,f303]) ).
fof(f258,plain,
( ~ true
| ~ leq(pv35,minus(n5,n1))
| ~ leq(n0,pv35)
| pv78 != sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35))
| n0 != sum(n0,minus(n0,n1),times(a_select3(q,pv81,pv35),a_select2(x,pv81))) ),
inference(cnf_transformation,[],[f115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV048+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 21:16:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (28163)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (28164)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (28169)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)
% 0.13/0.37 % (28166)WARNING: value z3 for option sas not known
% 0.13/0.38 % (28165)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38 % (28166)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)
% 0.13/0.38 % (28170)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)
% 0.13/0.38 % (28167)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38 % (28168)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)
% 0.13/0.38 % (28169)First to succeed.
% 0.13/0.38 % (28169)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28163"
% 0.13/0.38 % (28169)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (28169)------------------------------
% 0.13/0.38 % (28169)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (28169)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (28169)Memory used [KB]: 1134
% 0.13/0.38 % (28169)Time elapsed: 0.012 s
% 0.13/0.38 % (28169)Instructions burned: 19 (million)
% 0.13/0.38 % (28163)Success in time 0.034 s
%------------------------------------------------------------------------------