TSTP Solution File: GRP686-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP686-1 : 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 : n016.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 06:10:23 EDT 2024
% Result : Unsatisfiable 30.13s 4.62s
% Output : Refutation 30.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 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 : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78810,plain,
$false,
inference(trivial_inequality_removal,[],[f78529]) ).
fof(f78529,plain,
mult(a,mult(a,mult(b,c))) != mult(a,mult(a,mult(b,c))),
inference(superposition,[],[f55,f43233]) ).
fof(f43233,plain,
! [X2,X0,X1] : mult(X2,mult(X2,mult(X0,X1))) = mult(mult(X2,mult(X2,X0)),X1),
inference(forward_demodulation,[],[f43007,f10174]) ).
fof(f10174,plain,
! [X0,X1] : mult(X1,mult(X1,X0)) = rd(mult(X1,X1),ld(X0,unit)),
inference(backward_demodulation,[],[f9497,f10173]) ).
fof(f10173,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = rd(X0,ld(X1,ld(X0,unit))),
inference(forward_demodulation,[],[f10036,f2449]) ).
fof(f2449,plain,
! [X2,X0,X1] : mult(X1,mult(X1,X2)) = mult(rd(mult(X1,X1),X0),mult(X0,X2)),
inference(backward_demodulation,[],[f1601,f2418]) ).
fof(f2418,plain,
! [X0,X1] : ld(rd(X0,X1),unit) = rd(X1,X0),
inference(superposition,[],[f4,f1599]) ).
fof(f1599,plain,
! [X0,X1] : mult(ld(rd(X0,X1),unit),X0) = X1,
inference(forward_demodulation,[],[f1487,f1542]) ).
fof(f1542,plain,
! [X0] : ld(X0,unit) = rd(unit,X0),
inference(forward_demodulation,[],[f1530,f22]) ).
fof(f22,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f1530,plain,
! [X0] : rd(unit,X0) = ld(rd(rd(unit,X0),ld(X0,rd(unit,X0))),unit),
inference(backward_demodulation,[],[f1396,f1517]) ).
fof(f1517,plain,
! [X0] : rd(unit,mult(X0,X0)) = ld(X0,rd(unit,X0)),
inference(backward_demodulation,[],[f1373,f1479]) ).
fof(f1479,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(unit,X0),X1),
inference(superposition,[],[f1429,f1]) ).
fof(f1429,plain,
! [X0,X1] : mult(rd(unit,X0),mult(X0,X1)) = X1,
inference(forward_demodulation,[],[f1420,f1]) ).
fof(f1420,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = mult(rd(unit,X0),mult(X0,X1)),
inference(superposition,[],[f175,f1350]) ).
fof(f1350,plain,
! [X0] : rd(unit,X0) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f22,f1277]) ).
fof(f1277,plain,
! [X0] : ld(rd(X0,mult(X0,X0)),unit) = X0,
inference(superposition,[],[f1121,f1]) ).
fof(f1121,plain,
! [X0,X1] : ld(rd(X0,mult(X1,X1)),mult(X0,ld(X1,unit))) = X1,
inference(superposition,[],[f2,f867]) ).
fof(f867,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = mult(rd(X1,mult(X0,X0)),X0),
inference(superposition,[],[f175,f5]) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
fof(f175,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X1)) = mult(rd(X2,mult(X0,X0)),mult(X0,X1)),
inference(superposition,[],[f39,f1]) ).
fof(f39,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f1373,plain,
! [X0] : mult(rd(unit,X0),rd(unit,X0)) = rd(unit,mult(X0,X0)),
inference(backward_demodulation,[],[f1364,f1350]) ).
fof(f1364,plain,
! [X0] : rd(unit,mult(X0,X0)) = mult(rd(X0,mult(X0,X0)),rd(X0,mult(X0,X0))),
inference(forward_demodulation,[],[f1348,f19]) ).
fof(f19,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f1348,plain,
! [X0] : mult(rd(X0,mult(X0,X0)),rd(X0,mult(X0,X0))) = rd(unit,ld(rd(X0,mult(X0,X0)),X0)),
inference(superposition,[],[f250,f1277]) ).
fof(f250,plain,
! [X0,X1] : mult(X0,X0) = rd(X1,ld(X0,ld(X0,X1))),
inference(superposition,[],[f116,f1]) ).
fof(f116,plain,
! [X0,X1] : mult(X0,X0) = rd(mult(X0,X1),ld(X0,X1)),
inference(superposition,[],[f65,f1]) ).
fof(f65,plain,
! [X0,X1] : mult(X0,X0) = rd(mult(X0,mult(X0,X1)),X1),
inference(superposition,[],[f4,f54]) ).
fof(f54,plain,
! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
inference(forward_demodulation,[],[f40,f6]) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).
fof(f40,plain,
! [X0,X1] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
inference(superposition,[],[f7,f6]) ).
fof(f1396,plain,
! [X0] : rd(unit,X0) = ld(rd(rd(unit,X0),rd(unit,mult(X0,X0))),unit),
inference(backward_demodulation,[],[f1338,f1375]) ).
fof(f1375,plain,
! [X0] : rd(rd(unit,X0),X0) = rd(unit,mult(X0,X0)),
inference(backward_demodulation,[],[f269,f1373]) ).
fof(f269,plain,
! [X0] : mult(rd(unit,X0),rd(unit,X0)) = rd(rd(unit,X0),X0),
inference(superposition,[],[f249,f19]) ).
fof(f249,plain,
! [X0] : mult(X0,X0) = rd(X0,ld(X0,unit)),
inference(superposition,[],[f116,f5]) ).
fof(f1338,plain,
! [X0] : rd(unit,X0) = ld(rd(rd(unit,X0),rd(rd(unit,X0),X0)),unit),
inference(superposition,[],[f1277,f269]) ).
fof(f1487,plain,
! [X0,X1] : mult(rd(unit,rd(X0,X1)),X0) = X1,
inference(superposition,[],[f1429,f3]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).
fof(f1601,plain,
! [X2,X0,X1] : mult(X1,mult(X1,X2)) = mult(ld(rd(X0,mult(X1,X1)),unit),mult(X0,X2)),
inference(forward_demodulation,[],[f1489,f1542]) ).
fof(f1489,plain,
! [X2,X0,X1] : mult(X1,mult(X1,X2)) = mult(rd(unit,rd(X0,mult(X1,X1))),mult(X0,X2)),
inference(superposition,[],[f1429,f39]) ).
fof(f10036,plain,
! [X0,X1] : rd(X0,ld(X1,ld(X0,unit))) = mult(rd(mult(X0,X0),X1),mult(X1,X1)),
inference(superposition,[],[f720,f2450]) ).
fof(f2450,plain,
! [X0,X1] : mult(rd(mult(X1,X1),X0),mult(X0,ld(X1,unit))) = X1,
inference(backward_demodulation,[],[f1600,f2418]) ).
fof(f1600,plain,
! [X0,X1] : mult(ld(rd(X0,mult(X1,X1)),unit),mult(X0,ld(X1,unit))) = X1,
inference(forward_demodulation,[],[f1488,f1542]) ).
fof(f1488,plain,
! [X0,X1] : mult(rd(unit,rd(X0,mult(X1,X1))),mult(X0,ld(X1,unit))) = X1,
inference(superposition,[],[f1429,f867]) ).
fof(f720,plain,
! [X2,X0,X1] : mult(X2,mult(X0,X0)) = rd(mult(X2,mult(X0,X1)),ld(X0,X1)),
inference(superposition,[],[f43,f1]) ).
fof(f43,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X1)) = rd(mult(X0,mult(X1,mult(X1,X2))),X2),
inference(superposition,[],[f4,f7]) ).
fof(f9497,plain,
! [X0,X1] : rd(mult(X1,X1),ld(X0,unit)) = rd(X1,ld(X0,ld(X1,unit))),
inference(superposition,[],[f2588,f1550]) ).
fof(f1550,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
inference(backward_demodulation,[],[f1479,f1542]) ).
fof(f2588,plain,
! [X0,X1] : rd(mult(X1,X1),X0) = rd(X1,mult(X0,ld(X1,unit))),
inference(forward_demodulation,[],[f2566,f2418]) ).
fof(f2566,plain,
! [X0,X1] : ld(rd(X0,mult(X1,X1)),unit) = rd(X1,mult(X0,ld(X1,unit))),
inference(superposition,[],[f1630,f867]) ).
fof(f1630,plain,
! [X0,X1] : ld(X0,unit) = rd(X1,mult(X0,X1)),
inference(forward_demodulation,[],[f1501,f1542]) ).
fof(f1501,plain,
! [X0,X1] : rd(unit,X0) = rd(X1,mult(X0,X1)),
inference(superposition,[],[f4,f1429]) ).
fof(f43007,plain,
! [X2,X0,X1] : mult(X2,mult(X2,mult(X0,X1))) = mult(rd(mult(X2,X2),ld(X0,unit)),X1),
inference(superposition,[],[f2449,f1549]) ).
fof(f1549,plain,
! [X0,X1] : mult(ld(X0,unit),mult(X0,X1)) = X1,
inference(backward_demodulation,[],[f1429,f1542]) ).
fof(f55,plain,
mult(mult(a,mult(a,b)),c) != mult(a,mult(a,mult(b,c))),
inference(backward_demodulation,[],[f8,f54]) ).
fof(f8,axiom,
mult(mult(a,a),mult(b,c)) != mult(mult(a,mult(a,b)),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP686-1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 20:44:23 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (3600)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (3603)WARNING: value z3 for option sas not known
% 0.15/0.32 % (3604)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (3602)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 % (3607)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 % (3605)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)
% 0.15/0.33 % (3603)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)
% 0.15/0.33 % (3601)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (3606)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)
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [4]
% 0.15/0.33 TRYING [3]
% 0.15/0.34 TRYING [5]
% 0.15/0.35 TRYING [4]
% 0.15/0.36 TRYING [6]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 TRYING [7]
% 0.15/0.54 TRYING [8]
% 2.36/0.65 TRYING [6]
% 3.16/0.81 TRYING [9]
% 7.52/1.43 TRYING [1]
% 7.52/1.43 TRYING [2]
% 7.52/1.43 TRYING [3]
% 7.52/1.43 TRYING [4]
% 7.52/1.45 TRYING [5]
% 8.15/1.48 TRYING [6]
% 8.45/1.53 TRYING [10]
% 8.62/1.59 TRYING [7]
% 10.61/1.82 TRYING [8]
% 11.74/2.02 TRYING [7]
% 14.61/2.44 TRYING [9]
% 22.89/3.59 TRYING [11]
% 24.55/3.84 TRYING [10]
% 29.85/4.60 % (3606)First to succeed.
% 29.85/4.61 % (3606)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3600"
% 30.13/4.62 % (3606)Refutation found. Thanks to Tanya!
% 30.13/4.62 % SZS status Unsatisfiable for theBenchmark
% 30.13/4.62 % SZS output start Proof for theBenchmark
% See solution above
% 30.13/4.62 % (3606)------------------------------
% 30.13/4.62 % (3606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.13/4.62 % (3606)Termination reason: Refutation
% 30.13/4.62
% 30.13/4.62 % (3606)Memory used [KB]: 39440
% 30.13/4.62 % (3606)Time elapsed: 4.288 s
% 30.13/4.62 % (3606)Instructions burned: 7298 (million)
% 30.13/4.62 % (3600)Success in time 4.305 s
%------------------------------------------------------------------------------