TSTP Solution File: GRP685-10 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 12:08:37 EDT 2024
% Result : Unsatisfiable 1.45s 0.63s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 85 ( 85 unt; 0 def)
% Number of atoms : 85 ( 84 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 171 ( 171 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10934,plain,
$false,
inference(trivial_inequality_removal,[],[f10933]) ).
fof(f10933,plain,
mult(x6,ld(x8,x8)) != mult(x6,ld(x8,x8)),
inference(superposition,[],[f787,f6909]) ).
fof(f6909,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6908,f2323]) ).
fof(f2323,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(forward_demodulation,[],[f2238,f295]) ).
fof(f295,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f278,f34]) ).
fof(f34,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(forward_demodulation,[],[f28,f33]) ).
fof(f33,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(forward_demodulation,[],[f27,f15]) ).
fof(f15,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f13]) ).
fof(f13,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f27,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f10,f19]) ).
fof(f19,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f17]) ).
fof(f17,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f10,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f28,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(rd(X0,X0),rd(X0,X0)))),
inference(superposition,[],[f10,f17]) ).
fof(f278,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(X0,ld(ld(X0,X0),ld(X0,X0)))),
inference(superposition,[],[f130,f15]) ).
fof(f130,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = mult(X0,ld(X0,mult(ld(X0,X0),X1))),
inference(superposition,[],[f107,f15]) ).
fof(f107,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f86,f3]) ).
fof(f86,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f2238,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = mult(X2,ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f1183,f1029]) ).
fof(f1029,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f1028,f758]) ).
fof(f758,plain,
! [X0] : rd(X0,ld(X0,X0)) = X0,
inference(forward_demodulation,[],[f722,f175]) ).
fof(f175,plain,
! [X0] : mult(X0,ld(ld(X0,X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f164,f13]) ).
fof(f164,plain,
! [X0] : mult(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f151,f34]) ).
fof(f151,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f129,f3]) ).
fof(f129,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(superposition,[],[f107,f13]) ).
fof(f722,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f634,f13]) ).
fof(f634,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f633,f151]) ).
fof(f633,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(X0,ld(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f590,f39]) ).
fof(f39,plain,
! [X0,X1] : mult(X0,ld(X0,ld(X1,X1))) = mult(rd(ld(X0,X0),X1),X1),
inference(superposition,[],[f10,f33]) ).
fof(f590,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,mult(rd(ld(X0,X0),X1),X1)),
inference(superposition,[],[f539,f13]) ).
fof(f539,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f12,f2]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f1028,plain,
! [X0,X1] : rd(mult(X0,X1),ld(X1,X1)) = mult(X0,rd(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f1010,f16]) ).
fof(f16,plain,
! [X0] : rd(X0,ld(X0,X0)) = mult(rd(X0,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f4,f13]) ).
fof(f1010,plain,
! [X0,X1] : mult(X0,mult(rd(X1,ld(X1,X1)),ld(X1,X1))) = rd(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f539,f843]) ).
fof(f843,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,X1),ld(X1,X1)),
inference(forward_demodulation,[],[f842,f841]) ).
fof(f841,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f840,f13]) ).
fof(f840,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),X1) = mult(X0,mult(X1,ld(X1,X1))),
inference(forward_demodulation,[],[f806,f785]) ).
fof(f785,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(X1,ld(X2,X2))),
inference(forward_demodulation,[],[f751,f696]) ).
fof(f696,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[],[f695,f561]) ).
fof(f561,plain,
! [X2,X0] : mult(ld(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f522,f547]) ).
fof(f547,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,ld(X2,X2)),
inference(forward_demodulation,[],[f546,f151]) ).
fof(f546,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,ld(X2,X2)))),
inference(forward_demodulation,[],[f512,f39]) ).
fof(f512,plain,
! [X2,X0,X1] : mult(X0,mult(rd(ld(X0,X0),X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f12,f13]) ).
fof(f522,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(ld(X0,X0),mult(rd(X0,X2),X2)),
inference(superposition,[],[f12,f41]) ).
fof(f41,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f17,f33]) ).
fof(f695,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(ld(X0,X0),mult(rd(X0,X1),X1)),
inference(forward_demodulation,[],[f694,f220]) ).
fof(f220,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(rd(ld(ld(X0,X0),X0),X1),X1),
inference(forward_demodulation,[],[f204,f4]) ).
fof(f204,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(ld(X0,X0),X0),X1),X1),
inference(superposition,[],[f4,f156]) ).
fof(f156,plain,
! [X0,X1] : mult(X0,X1) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f155,f151]) ).
fof(f155,plain,
! [X0,X1] : mult(X0,mult(X0,ld(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f154,f3]) ).
fof(f154,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(forward_demodulation,[],[f134,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))) = mult(X0,ld(X0,mult(X2,X3))),
inference(forward_demodulation,[],[f105,f107]) ).
fof(f105,plain,
! [X2,X3,X0,X1] : mult(mult(X0,ld(X0,X2)),X3) = mult(ld(X0,X1),ld(ld(X0,X1),mult(X2,X3))),
inference(superposition,[],[f11,f3]) ).
fof(f134,plain,
! [X0,X1] : mult(ld(X0,X0),ld(ld(X0,X0),mult(X0,X1))) = mult(ld(ld(X0,X0),X0),X1),
inference(superposition,[],[f107,f46]) ).
fof(f46,plain,
! [X0] : ld(ld(X0,X0),X0) = mult(ld(X0,X0),ld(ld(X0,X0),X0)),
inference(superposition,[],[f3,f41]) ).
fof(f694,plain,
! [X0,X1] : mult(rd(ld(ld(X0,X0),X0),X1),X1) = mult(ld(X0,X0),mult(rd(ld(ld(X0,X0),X0),X1),X1)),
inference(forward_demodulation,[],[f693,f33]) ).
fof(f693,plain,
! [X0,X1] : mult(rd(ld(rd(X0,X0),X0),X1),X1) = mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),X0),X1),X1)),
inference(forward_demodulation,[],[f615,f4]) ).
fof(f615,plain,
! [X0,X1] : mult(rd(X0,X0),mult(rd(ld(rd(X0,X0),X0),X1),X1)) = rd(mult(ld(rd(X0,X0),X0),X1),X1),
inference(superposition,[],[f539,f20]) ).
fof(f20,plain,
! [X0] : ld(rd(X0,X0),X0) = mult(rd(X0,X0),ld(rd(X0,X0),X0)),
inference(superposition,[],[f3,f17]) ).
fof(f751,plain,
! [X2,X0,X1] : mult(mult(X0,X1),ld(X2,X2)) = mult(X0,mult(rd(X1,X2),X2)),
inference(superposition,[],[f634,f539]) ).
fof(f806,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(superposition,[],[f696,f634]) ).
fof(f842,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f807,f696]) ).
fof(f807,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(rd(X0,X1),X1),X1),
inference(superposition,[],[f696,f4]) ).
fof(f1183,plain,
! [X2,X3,X1] : mult(X3,ld(rd(X1,X2),rd(X1,X2))) = mult(X3,ld(X2,X2)),
inference(forward_demodulation,[],[f1148,f1145]) ).
fof(f1145,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = rd(mult(X2,mult(X0,ld(X1,X1))),mult(X0,ld(X1,X1))),
inference(superposition,[],[f547,f634]) ).
fof(f1148,plain,
! [X2,X3,X0,X1] : mult(X3,ld(rd(X1,X2),rd(X1,X2))) = rd(mult(X3,mult(X0,ld(X2,X2))),mult(X0,ld(X2,X2))),
inference(superposition,[],[f547,f547]) ).
fof(f6908,plain,
! [X2,X0,X1] : mult(X2,ld(mult(X0,X1),mult(X0,X1))) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6907,f634]) ).
fof(f6907,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),mult(X0,X1)) = mult(X2,ld(ld(X0,X1),ld(X0,X1))),
inference(forward_demodulation,[],[f6754,f2323]) ).
fof(f6754,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X1)),mult(X0,X1)) = mult(X2,ld(mult(X0,ld(X0,X1)),mult(X0,ld(X0,X1)))),
inference(superposition,[],[f1182,f151]) ).
fof(f1182,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = rd(mult(X2,mult(X0,X1)),mult(X0,X1)),
inference(forward_demodulation,[],[f1147,f295]) ).
fof(f1147,plain,
! [X2,X0,X1] : mult(X2,ld(ld(X1,X1),ld(X1,X1))) = rd(mult(X2,mult(X0,X1)),mult(X0,X1)),
inference(superposition,[],[f547,f1029]) ).
fof(f787,plain,
mult(x6,ld(ld(x7,x8),ld(x7,x8))) != mult(x6,ld(x8,x8)),
inference(forward_demodulation,[],[f786,f696]) ).
fof(f786,plain,
mult(rd(x6,x8),x8) != mult(x6,ld(ld(x7,x8),ld(x7,x8))),
inference(forward_demodulation,[],[f754,f4]) ).
fof(f754,plain,
rd(mult(x6,x8),x8) != mult(x6,ld(ld(x7,x8),ld(x7,x8))),
inference(superposition,[],[f8,f634]) ).
fof(f8,axiom,
rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP685-10 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:29:56 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (1163)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (1166)WARNING: value z3 for option sas not known
% 0.14/0.38 % (1164)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (1165)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (1167)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (1168)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)
% 0.14/0.38 % (1166)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)
% 0.14/0.38 % (1170)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)
% 0.14/0.38 % (1169)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [3]
% 0.21/0.40 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.46 TRYING [4]
% 1.26/0.55 TRYING [5]
% 1.45/0.63 % (1170)First to succeed.
% 1.45/0.63 % (1170)Refutation found. Thanks to Tanya!
% 1.45/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.45/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.63 % (1170)------------------------------
% 1.45/0.63 % (1170)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.45/0.63 % (1170)Termination reason: Refutation
% 1.45/0.63
% 1.45/0.63 % (1170)Memory used [KB]: 3989
% 1.45/0.63 % (1170)Time elapsed: 0.255 s
% 1.45/0.63 % (1170)Instructions burned: 507 (million)
% 1.45/0.63 % (1170)------------------------------
% 1.45/0.63 % (1170)------------------------------
% 1.45/0.63 % (1163)Success in time 0.262 s
%------------------------------------------------------------------------------