TSTP Solution File: NUM853+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 08:42:36 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 12 unt; 0 def)
% Number of atoms : 64 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3048,plain,
$false,
inference(subsumption_resolution,[],[f3046,f141]) ).
fof(f141,plain,
! [X1] : ~ greater(X1,X1),
inference(equality_resolution,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| X0 != X1 ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X33,X34] :
( ~ greater(X33,X34)
| X33 != X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 3)') ).
fof(f3046,plain,
greater(vmul(vd486,vd487),vmul(vd486,vd487)),
inference(superposition,[],[f101,f3040]) ).
fof(f3040,plain,
vd486 = vd488,
inference(subsumption_resolution,[],[f2991,f1231]) ).
fof(f1231,plain,
~ greater(vd488,vd486),
inference(resolution,[],[f138,f170]) ).
fof(f170,plain,
~ greater(vmul(vd488,vd487),vmul(vd486,vd487)),
inference(resolution,[],[f166,f101]) ).
fof(f166,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[],[f127,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X33,X34] :
( ~ less(X33,X34)
| ~ greater(X33,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 2)') ).
fof(f127,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X31,X32] :
( greater(X31,X32)
=> less(X32,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f138,plain,
! [X2,X0,X1] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( greater(vmul(X1,X0),vmul(X2,X0))
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1,X2] :
( greater(X1,X2)
=> greater(vmul(X1,X0),vmul(X2,X0)) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X5,X6] :
( greater(X5,X6)
=> greater(vmul(X5,X0),vmul(X6,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(f2991,plain,
( greater(vd488,vd486)
| vd486 = vd488 ),
inference(resolution,[],[f447,f100]) ).
fof(f100,plain,
~ greater(vd486,vd488),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
~ greater(vd486,vd488),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vd486,vd488),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vd486,vd488),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(307), 490, 0)') ).
fof(f447,plain,
! [X0,X1] :
( greater(X1,X0)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f121,f126]) ).
fof(f126,plain,
! [X0,X1] :
( ~ less(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X29,X30] :
( less(X29,X30)
=> greater(X30,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f121,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( less(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X33,X34] :
( less(X33,X34)
| greater(X33,X34)
| X33 = X34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(130), 0), 0)') ).
fof(f101,plain,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(vmul(vd486,vd487),vmul(vd488,vd487)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(307), 489, 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : NUM853+2 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n012.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 : Fri May 3 15:22:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (23007)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (23010)WARNING: value z3 for option sas not known
% 0.15/0.32 % (23012)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 % (23013)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 % (23011)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (23008)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (23009)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 % (23010)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 % (23014)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [3]
% 0.15/0.37 TRYING [5]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 % (23010)First to succeed.
% 0.15/0.40 % (23010)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23007"
% 0.15/0.40 TRYING [4]
% 0.15/0.40 % (23010)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (23010)------------------------------
% 0.15/0.40 % (23010)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (23010)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (23010)Memory used [KB]: 1815
% 0.15/0.40 % (23010)Time elapsed: 0.076 s
% 0.15/0.40 % (23010)Instructions burned: 155 (million)
% 0.15/0.40 % (23007)Success in time 0.092 s
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