TSTP Solution File: NUM855+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM855+1 : 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 : 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 : Sun May 5 08:42:37 EDT 2024
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 22 unt; 0 def)
% Number of atoms : 59 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 22 ~; 13 |; 2 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f955,plain,
$false,
inference(resolution,[],[f950,f256]) ).
fof(f256,plain,
greater(vmul(vd509,vd511),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f255,f174]) ).
fof(f174,plain,
vmul(vd511,vd509) = vmul(vd509,vd511),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vmul(vd511,vd509) = vmul(vd509,vd511),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 0)') ).
fof(f255,plain,
greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[],[f177,f175]) ).
fof(f175,plain,
vmul(vd509,vd512) = vmul(vd512,vd509),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
vmul(vd509,vd512) = vmul(vd512,vd509),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 2)') ).
fof(f177,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(315), 515, 1)') ).
fof(f950,plain,
~ greater(vmul(vd509,vd511),vmul(vd509,vd512)),
inference(resolution,[],[f859,f312]) ).
fof(f312,plain,
greater(vmul(vd511,vd508),vmul(vd509,vd511)),
inference(superposition,[],[f176,f186]) ).
fof(f186,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X22,X23] : vmul(X22,X23) = vmul(X23,X22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f176,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(f859,plain,
! [X0] :
( ~ greater(X0,vmul(vd509,vd512))
| ~ greater(vmul(vd511,vd508),X0) ),
inference(resolution,[],[f849,f207]) ).
fof(f207,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( less(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( greater(X0,X1)
=> less(X1,X0) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X73,X74] :
( greater(X73,X74)
=> less(X74,X73) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(140, 0), 0)') ).
fof(f849,plain,
! [X0] :
( ~ less(X0,vmul(vd511,vd508))
| ~ greater(X0,vmul(vd509,vd512)) ),
inference(resolution,[],[f833,f207]) ).
fof(f833,plain,
! [X0] :
( ~ less(vmul(vd509,vd512),X0)
| ~ less(X0,vmul(vd511,vd508)) ),
inference(resolution,[],[f237,f278]) ).
fof(f278,plain,
~ less(vmul(vd509,vd512),vmul(vd511,vd508)),
inference(forward_demodulation,[],[f276,f186]) ).
fof(f276,plain,
~ less(vmul(vd509,vd512),vmul(vd508,vd511)),
inference(resolution,[],[f206,f171]) ).
fof(f171,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conseq_conjunct2(315), 516, 0)') ).
fof(f206,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ less(X0,X1) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( less(X0,X1)
=> greater(X1,X0) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X71,X72] :
( less(X71,X72)
=> greater(X72,X71) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(147, 0), 0)') ).
fof(f237,plain,
! [X2,X0,X1] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( less(X0,X2)
| ~ less(X0,X1)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X60,X61,X62] :
( ( less(X60,X61)
& less(X61,X62) )
=> less(X60,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(168, 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 15:12:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (31070)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (31073)WARNING: value z3 for option sas not known
% 0.14/0.37 % (31074)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (31072)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (31075)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)
% 0.14/0.37 % (31073)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)
% 0.14/0.37 % (31076)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)
% 0.14/0.37 % (31077)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)
% 0.14/0.37 % (31071)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.20/0.39 % (31076)First to succeed.
% 0.20/0.39 % (31076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31070"
% 0.20/0.40 % (31076)Refutation found. Thanks to Tanya!
% 0.20/0.40 % SZS status Theorem for theBenchmark
% 0.20/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.40 % (31076)------------------------------
% 0.20/0.40 % (31076)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.40 % (31076)Termination reason: Refutation
% 0.20/0.40
% 0.20/0.40 % (31076)Memory used [KB]: 1143
% 0.20/0.40 % (31076)Time elapsed: 0.025 s
% 0.20/0.40 % (31076)Instructions burned: 40 (million)
% 0.20/0.40 % (31070)Success in time 0.031 s
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