TSTP Solution File: GRP699-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 12:08:39 EDT 2024
% Result : Unsatisfiable 13.95s 2.40s
% Output : Refutation 13.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 55 unt; 0 def)
% Number of atoms : 55 ( 54 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121686,plain,
$false,
inference(trivial_inequality_removal,[],[f121562]) ).
fof(f121562,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(superposition,[],[f9,f87552]) ).
fof(f87552,plain,
! [X2,X0,X1] : mult(mult(X2,X1),X0) = mult(mult(X2,X0),ld(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f87551,f12625]) ).
fof(f12625,plain,
! [X0,X1] : ld(X0,mult(X1,X0)) = rd(ld(X0,X1),ld(X0,unit)),
inference(superposition,[],[f11887,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f11887,plain,
! [X0,X1] : rd(X1,ld(X0,unit)) = ld(X0,mult(mult(X0,X1),X0)),
inference(superposition,[],[f2,f11166]) ).
fof(f11166,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,rd(X1,ld(X0,unit))),
inference(superposition,[],[f3,f10908]) ).
fof(f10908,plain,
! [X0,X1] : mult(X1,X0) = rd(mult(X1,rd(X0,ld(X1,unit))),X1),
inference(superposition,[],[f10814,f3]) ).
fof(f10814,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,ld(X0,unit))),
inference(forward_demodulation,[],[f10813,f925]) ).
fof(f925,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(superposition,[],[f2,f896]) ).
fof(f896,plain,
! [X0] : unit = mult(X0,rd(unit,X0)),
inference(forward_demodulation,[],[f877,f24]) ).
fof(f24,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f4,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f877,plain,
! [X0] : rd(X0,X0) = mult(X0,rd(unit,X0)),
inference(superposition,[],[f4,f852]) ).
fof(f852,plain,
! [X0] : mult(mult(X0,rd(unit,X0)),X0) = X0,
inference(forward_demodulation,[],[f826,f4]) ).
fof(f826,plain,
! [X0] : rd(mult(X0,X0),X0) = mult(mult(X0,rd(unit,X0)),X0),
inference(superposition,[],[f299,f6]) ).
fof(f299,plain,
! [X0,X1] : mult(mult(X1,rd(X0,X1)),X1) = rd(mult(X1,mult(X0,X1)),X1),
inference(superposition,[],[f142,f3]) ).
fof(f142,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(mult(X1,X0),X0)),X0),
inference(superposition,[],[f4,f58]) ).
fof(f58,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f43,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f43,plain,
! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[],[f7,f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f10813,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,rd(unit,X0))),
inference(forward_demodulation,[],[f10676,f5]) ).
fof(f10676,plain,
! [X0,X1] : mult(X0,mult(X1,rd(unit,X0))) = mult(rd(mult(X0,X1),X0),unit),
inference(superposition,[],[f6712,f896]) ).
fof(f6712,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(forward_demodulation,[],[f6711,f3]) ).
fof(f6711,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(rd(X1,X0),X0),X2)),
inference(forward_demodulation,[],[f6619,f3]) ).
fof(f6619,plain,
! [X2,X0,X1] : mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(superposition,[],[f7,f825]) ).
fof(f825,plain,
! [X0,X1] : mult(mult(X1,rd(rd(X0,X1),X1)),X1) = rd(mult(X1,X0),X1),
inference(superposition,[],[f299,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f87551,plain,
! [X2,X0,X1] : mult(mult(X2,X1),X0) = mult(mult(X2,X0),rd(ld(X0,X1),ld(X0,unit))),
inference(forward_demodulation,[],[f87550,f4]) ).
fof(f87550,plain,
! [X2,X0,X1] : mult(mult(X2,X1),X0) = mult(mult(X2,X0),rd(ld(rd(mult(X0,X0),X0),X1),ld(X0,unit))),
inference(forward_demodulation,[],[f87114,f12517]) ).
fof(f12517,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = rd(X1,ld(X0,unit)),
inference(forward_demodulation,[],[f12516,f11887]) ).
fof(f12516,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = ld(X0,mult(mult(X0,X1),X0)),
inference(forward_demodulation,[],[f12515,f11316]) ).
fof(f11316,plain,
! [X0,X1] : mult(mult(mult(X1,X0),X0),ld(X0,unit)) = ld(X0,mult(mult(X0,X1),X0)),
inference(superposition,[],[f10925,f142]) ).
fof(f10925,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = ld(X0,rd(mult(X0,X1),X0)),
inference(superposition,[],[f2,f10814]) ).
fof(f12515,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = mult(mult(mult(X1,X0),X0),ld(X0,unit)),
inference(forward_demodulation,[],[f12404,f1]) ).
fof(f12404,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X1),X0)) = mult(mult(X0,ld(X0,mult(mult(X1,X0),X0))),ld(X0,unit)),
inference(superposition,[],[f11428,f253]) ).
fof(f253,plain,
! [X0,X1] : mult(mult(ld(X0,X1),X0),X0) = ld(X0,mult(mult(X1,X0),X0)),
inference(superposition,[],[f2,f128]) ).
fof(f128,plain,
! [X0,X1] : mult(mult(X1,X0),X0) = mult(X0,mult(mult(ld(X0,X1),X0),X0)),
inference(superposition,[],[f58,f1]) ).
fof(f11428,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(X0,mult(X1,X0)),ld(X0,unit)),
inference(forward_demodulation,[],[f11319,f2]) ).
fof(f11319,plain,
! [X0,X1] : ld(X0,mult(X0,mult(X0,X1))) = mult(mult(X0,mult(X1,X0)),ld(X0,unit)),
inference(superposition,[],[f10925,f6673]) ).
fof(f6673,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = rd(mult(X0,mult(X0,mult(X1,X0))),X0),
inference(forward_demodulation,[],[f6672,f3]) ).
fof(f6672,plain,
! [X0,X1] : rd(mult(X0,mult(X0,mult(X1,X0))),X0) = mult(X0,mult(X0,mult(rd(X1,X0),X0))),
inference(forward_demodulation,[],[f6671,f2674]) ).
fof(f2674,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(X0,mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f2673,f6]) ).
fof(f2673,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(mult(unit,X0),mult(X0,mult(X1,X0))),
inference(forward_demodulation,[],[f2558,f896]) ).
fof(f2558,plain,
! [X0,X1] : mult(mult(X0,mult(X0,X1)),X0) = mult(mult(mult(mult(X0,mult(X0,X1)),rd(unit,mult(X0,mult(X0,X1)))),X0),mult(X0,mult(X1,X0))),
inference(superposition,[],[f8,f852]) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,mult(X1,mult(X1,X2))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f6671,plain,
! [X0,X1] : rd(mult(X0,mult(X0,mult(X1,X0))),X0) = mult(mult(X0,mult(X0,rd(X1,X0))),X0),
inference(forward_demodulation,[],[f6599,f4]) ).
fof(f6599,plain,
! [X0,X1] : rd(mult(X0,mult(X0,mult(X1,X0))),X0) = mult(mult(X0,rd(mult(mult(X0,rd(X1,X0)),X0),X0)),X0),
inference(superposition,[],[f825,f299]) ).
fof(f87114,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(X0,mult(ld(X0,ld(rd(mult(X0,X0),X0),X1)),X0))) = mult(mult(X2,X1),X0),
inference(superposition,[],[f8,f37267]) ).
fof(f37267,plain,
! [X2,X0,X1] : mult(X0,mult(X1,ld(X0,ld(rd(mult(X0,X1),X0),X2)))) = X2,
inference(superposition,[],[f10672,f1]) ).
fof(f10672,plain,
! [X2,X0,X1] : mult(X0,mult(X2,ld(X0,X1))) = mult(rd(mult(X0,X2),X0),X1),
inference(superposition,[],[f6712,f1]) ).
fof(f9,axiom,
mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 04:54:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (2584)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (2589)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)
% 0.13/0.37 % (2587)WARNING: value z3 for option sas not known
% 0.13/0.37 % (2587)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)
% 0.13/0.37 % (2586)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (2590)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 % (2588)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (2591)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)
% 0.13/0.37 % (2585)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [4]
% 0.13/0.39 TRYING [3]
% 0.13/0.41 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.50 TRYING [6]
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.55 TRYING [4]
% 0.20/0.57 TRYING [5]
% 0.20/0.57 TRYING [5]
% 1.88/0.62 TRYING [7]
% 2.01/0.63 TRYING [6]
% 3.15/0.82 TRYING [7]
% 3.15/0.85 TRYING [6]
% 3.82/0.89 TRYING [8]
% 6.23/1.24 TRYING [8]
% 12.45/2.16 TRYING [7]
% 13.95/2.39 % (2591)First to succeed.
% 13.95/2.40 % (2591)Refutation found. Thanks to Tanya!
% 13.95/2.40 % SZS status Unsatisfiable for theBenchmark
% 13.95/2.40 % SZS output start Proof for theBenchmark
% See solution above
% 13.95/2.41 % (2591)------------------------------
% 13.95/2.41 % (2591)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 13.95/2.41 % (2591)Termination reason: Refutation
% 13.95/2.41
% 13.95/2.41 % (2591)Memory used [KB]: 32452
% 13.95/2.41 % (2591)Time elapsed: 2.032 s
% 13.95/2.41 % (2591)Instructions burned: 6059 (million)
% 13.95/2.41 % (2591)------------------------------
% 13.95/2.41 % (2591)------------------------------
% 13.95/2.41 % (2584)Success in time 2.022 s
%------------------------------------------------------------------------------