TSTP Solution File: GRP660-13 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP660-13 : 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 : 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 06:10:15 EDT 2024
% Result : Unsatisfiable 2.43s 0.69s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 6
% Syntax : Number of formulae : 83 ( 83 unt; 0 def)
% Number of atoms : 83 ( 82 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 174 ( 174 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12979,plain,
$false,
inference(trivial_inequality_removal,[],[f12875]) ).
fof(f12875,plain,
x0 != x0,
inference(superposition,[],[f6,f11996]) ).
fof(f11996,plain,
! [X2,X0] : mult(X2,ld(X0,X0)) = X2,
inference(forward_demodulation,[],[f11995,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f11995,plain,
! [X2,X0,X1] : ld(X1,mult(X1,X2)) = mult(X2,ld(X0,X0)),
inference(forward_demodulation,[],[f11994,f11828]) ).
fof(f11828,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f11827,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f11827,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(ld(X0,X0),ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f11826,f11819]) ).
fof(f11819,plain,
! [X0,X1] : ld(ld(X0,X0),X1) = mult(X1,ld(X0,X0)),
inference(forward_demodulation,[],[f11818,f1]) ).
fof(f11818,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(ld(X0,X0),ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f11817,f11381]) ).
fof(f11381,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f10777,f11248]) ).
fof(f11248,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f11156,f4]) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f11156,plain,
! [X0] : rd(X0,X0) = ld(X0,rd(mult(X0,X0),X0)),
inference(superposition,[],[f1061,f11028]) ).
fof(f11028,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[],[f11027,f11024]) ).
fof(f11024,plain,
! [X0] : ld(rd(X0,X0),mult(X0,rd(X0,X0))) = X0,
inference(forward_demodulation,[],[f11023,f4]) ).
fof(f11023,plain,
! [X0] : rd(mult(X0,X0),X0) = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f11022,f342]) ).
fof(f342,plain,
! [X2,X0,X1] : rd(mult(X2,X0),X2) = mult(mult(X2,rd(X0,X1)),rd(X1,X2)),
inference(superposition,[],[f55,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f55,plain,
! [X2,X0,X1] : mult(mult(X1,X2),rd(X0,X1)) = rd(mult(X1,mult(X2,X0)),X1),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f4,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f11022,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f10943,f1844]) ).
fof(f1844,plain,
! [X0,X1] : ld(rd(X1,X0),mult(X0,rd(X0,X1))) = mult(rd(X0,X1),mult(X0,rd(X0,X1))),
inference(forward_demodulation,[],[f1791,f2]) ).
fof(f1791,plain,
! [X0,X1] : ld(rd(X1,X0),mult(X0,rd(X0,X1))) = mult(ld(X0,mult(X0,rd(X0,X1))),mult(X0,rd(X0,X1))),
inference(superposition,[],[f1519,f1133]) ).
fof(f1133,plain,
! [X0,X1] : mult(mult(X0,rd(X0,X1)),rd(X1,X0)) = X0,
inference(superposition,[],[f350,f3]) ).
fof(f350,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(mult(X0,X1),X0),rd(X1,mult(X0,X1))),
inference(superposition,[],[f55,f4]) ).
fof(f1519,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(X1,X0),X1),X1),
inference(superposition,[],[f3,f1219]) ).
fof(f1219,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(ld(X1,X0),X0),
inference(superposition,[],[f2,f1119]) ).
fof(f1119,plain,
! [X0,X1] : mult(mult(X1,X0),rd(ld(X0,X1),X1)) = X1,
inference(superposition,[],[f350,f1]) ).
fof(f10943,plain,
! [X0] : mult(mult(X0,rd(X0,X0)),rd(X0,X0)) = mult(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f14,f10859]) ).
fof(f10859,plain,
! [X0] : rd(X0,X0) = mult(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f1,f10777]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,rd(X0,X1)))) = mult(mult(X0,X2),rd(X0,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f11027,plain,
! [X0] : mult(X0,rd(X0,X0)) = ld(rd(X0,X0),mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f11026,f1319]) ).
fof(f1319,plain,
! [X0,X1] : mult(X0,rd(X0,X1)) = rd(X0,rd(X1,X0)),
inference(superposition,[],[f4,f1133]) ).
fof(f11026,plain,
! [X0] : rd(X0,rd(X0,X0)) = ld(rd(X0,X0),rd(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f11025,f10192]) ).
fof(f10192,plain,
! [X0,X1] : rd(X0,rd(X0,X1)) = mult(X0,rd(ld(X1,X1),rd(X0,X1))),
inference(superposition,[],[f8,f3241]) ).
fof(f3241,plain,
! [X0,X1] : rd(X0,X1) = ld(mult(X0,rd(ld(X1,X1),rd(X0,X1))),X0),
inference(forward_demodulation,[],[f3240,f4]) ).
fof(f3240,plain,
! [X0,X1] : rd(X0,X1) = ld(mult(rd(mult(X0,X0),X0),rd(ld(X1,X1),rd(X0,X1))),X0),
inference(forward_demodulation,[],[f3239,f1560]) ).
fof(f1560,plain,
! [X0,X1] : rd(X0,X1) = mult(X0,rd(X0,mult(X1,X0))),
inference(superposition,[],[f4,f1304]) ).
fof(f1304,plain,
! [X0,X1] : mult(mult(X1,rd(X1,mult(X0,X1))),X0) = X1,
inference(superposition,[],[f1133,f4]) ).
fof(f3239,plain,
! [X0,X1] : mult(X0,rd(X0,mult(X1,X0))) = ld(mult(rd(mult(X0,X0),X0),rd(ld(X1,X1),mult(X0,rd(X0,mult(X1,X0))))),X0),
inference(forward_demodulation,[],[f3238,f965]) ).
fof(f965,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,rd(X1,mult(X2,X0))),X3),mult(X0,rd(X1,mult(X2,X0)))) = mult(rd(mult(X0,X1),X0),rd(ld(X2,X3),mult(X0,rd(X1,mult(X2,X0))))),
inference(superposition,[],[f335,f59]) ).
fof(f59,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,mult(X1,X2))),X1) = rd(mult(X2,X0),X2),
inference(superposition,[],[f18,f3]) ).
fof(f335,plain,
! [X2,X0,X1] : mult(mult(X2,X0),rd(ld(X0,X1),X2)) = rd(mult(X2,X1),X2),
inference(superposition,[],[f55,f1]) ).
fof(f3238,plain,
! [X0,X1] : mult(X0,rd(X0,mult(X1,X0))) = ld(rd(mult(mult(X0,rd(X0,mult(X1,X0))),X1),mult(X0,rd(X0,mult(X1,X0)))),X0),
inference(forward_demodulation,[],[f3152,f643]) ).
fof(f643,plain,
! [X2,X0,X1] : rd(mult(X0,X2),X0) = mult(X1,rd(ld(ld(X0,X1),X2),X0)),
inference(superposition,[],[f116,f1]) ).
fof(f116,plain,
! [X2,X0,X1] : mult(X0,rd(X1,X2)) = rd(mult(X2,mult(ld(X2,X0),X1)),X2),
inference(superposition,[],[f4,f24]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f13,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),mult(X2,X0))) = mult(mult(X1,X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f3152,plain,
! [X2,X0,X1] : mult(X0,rd(X0,mult(X1,X0))) = ld(mult(X2,rd(ld(ld(mult(X0,rd(X0,mult(X1,X0))),X2),X1),mult(X0,rd(X0,mult(X1,X0))))),X0),
inference(superposition,[],[f598,f1304]) ).
fof(f598,plain,
! [X2,X0,X1] : ld(mult(X1,rd(ld(ld(X0,X1),X2),X0)),mult(X0,X2)) = X0,
inference(superposition,[],[f115,f1]) ).
fof(f115,plain,
! [X2,X0,X1] : ld(mult(X0,rd(X1,X2)),mult(X2,mult(ld(X2,X0),X1))) = X2,
inference(superposition,[],[f2,f24]) ).
fof(f8,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f11025,plain,
! [X0] : rd(X0,rd(X0,X0)) = ld(rd(X0,X0),mult(X0,rd(ld(X0,X0),rd(X0,X0)))),
inference(forward_demodulation,[],[f10944,f967]) ).
fof(f967,plain,
! [X2,X0,X1] : rd(mult(rd(X0,X1),X2),rd(X0,X1)) = mult(X0,rd(ld(X1,X2),rd(X0,X1))),
inference(superposition,[],[f335,f3]) ).
fof(f10944,plain,
! [X0] : rd(X0,rd(X0,X0)) = ld(rd(X0,X0),rd(mult(rd(X0,X0),X0),rd(X0,X0))),
inference(superposition,[],[f1061,f10859]) ).
fof(f1061,plain,
! [X2,X0,X1] : rd(X2,X0) = ld(mult(X0,rd(X1,X2)),rd(mult(X0,X1),X0)),
inference(superposition,[],[f2,f342]) ).
fof(f10777,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f10776,f2]) ).
fof(f10776,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f10689,f4]) ).
fof(f10689,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f3925,f342]) ).
fof(f3925,plain,
! [X0,X1] : ld(X0,rd(X1,X1)) = ld(mult(mult(X1,X0),X0),mult(X1,X0)),
inference(superposition,[],[f748,f1219]) ).
fof(f748,plain,
! [X2,X0,X1] : ld(X2,rd(X0,X1)) = rd(ld(X2,mult(X0,X2)),mult(X1,X2)),
inference(superposition,[],[f195,f3]) ).
fof(f195,plain,
! [X2,X0,X1] : ld(X0,X1) = rd(ld(X0,mult(mult(X1,X2),X0)),mult(X2,X0)),
inference(superposition,[],[f4,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : mult(ld(X0,X1),mult(X2,X0)) = ld(X0,mult(mult(X1,X2),X0)),
inference(superposition,[],[f2,f13]) ).
fof(f11817,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),ld(ld(ld(X0,X0),ld(X0,X0)),ld(ld(X0,X0),X1))),
inference(forward_demodulation,[],[f11816,f11248]) ).
fof(f11816,plain,
! [X0,X1] : mult(X1,rd(X0,X0)) = mult(rd(X0,X0),ld(ld(rd(X0,X0),rd(X0,X0)),ld(rd(X0,X0),X1))),
inference(forward_demodulation,[],[f11767,f3526]) ).
fof(f3526,plain,
! [X2,X0,X1] : mult(ld(X2,rd(X0,X1)),X1) = ld(ld(X1,X2),ld(X1,X0)),
inference(forward_demodulation,[],[f3479,f1560]) ).
fof(f3479,plain,
! [X2,X0,X1] : mult(ld(X2,mult(X0,rd(X0,mult(X1,X0)))),X1) = ld(ld(X1,X2),ld(X1,X0)),
inference(superposition,[],[f689,f1304]) ).
fof(f689,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(ld(X2,X0),ld(X2,mult(X1,X2))),
inference(superposition,[],[f194,f1]) ).
fof(f194,plain,
! [X2,X0,X1] : mult(X2,X0) = ld(ld(X0,X1),ld(X0,mult(mult(X1,X2),X0))),
inference(superposition,[],[f2,f28]) ).
fof(f11767,plain,
! [X0,X1] : mult(X1,rd(X0,X0)) = mult(rd(X0,X0),mult(ld(rd(X0,X0),rd(X1,rd(X0,X0))),rd(X0,X0))),
inference(superposition,[],[f110,f10860]) ).
fof(f10860,plain,
! [X0] : rd(X0,X0) = rd(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f8,f10777]) ).
fof(f110,plain,
! [X2,X0,X1] : mult(X0,X2) = mult(X2,mult(ld(X2,rd(X0,rd(X1,X2))),X1)),
inference(superposition,[],[f24,f3]) ).
fof(f11826,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = mult(ld(X0,X0),mult(X1,ld(X0,X0))),
inference(forward_demodulation,[],[f11825,f2]) ).
fof(f11825,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(ld(ld(X0,X0),mult(ld(X0,X0),X1)),ld(X0,X0)),
inference(forward_demodulation,[],[f11824,f11819]) ).
fof(f11824,plain,
! [X0,X1] : mult(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(mult(mult(ld(X0,X0),X1),ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f11771,f11248]) ).
fof(f11771,plain,
! [X0,X1] : mult(rd(X0,X0),mult(X1,rd(X0,X0))) = mult(mult(mult(rd(X0,X0),X1),rd(X0,X0)),rd(X0,X0)),
inference(superposition,[],[f356,f10860]) ).
fof(f356,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(mult(X0,X1),rd(X2,X0)),X0),
inference(superposition,[],[f3,f55]) ).
fof(f11994,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X0)) = ld(X1,ld(ld(X0,X0),mult(X1,X2))),
inference(forward_demodulation,[],[f11993,f11819]) ).
fof(f11993,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X0)) = ld(X1,mult(mult(X1,X2),ld(X0,X0))),
inference(forward_demodulation,[],[f11921,f11828]) ).
fof(f11921,plain,
! [X2,X0,X1] : mult(X2,ld(X0,X0)) = ld(X1,ld(ld(X0,X0),mult(mult(X1,X2),ld(X0,X0)))),
inference(superposition,[],[f194,f11828]) ).
fof(f6,axiom,
x0 != mult(x0,ld(x1,x1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GRP660-13 : TPTP v8.1.2. Released v8.1.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 20:40:22 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % (22119)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (22124)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)
% 0.11/0.35 % (22123)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (22122)WARNING: value z3 for option sas not known
% 0.11/0.35 TRYING [1]
% 0.11/0.35 % (22125)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)
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (22126)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)
% 0.11/0.35 % (22122)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)
% 0.11/0.35 % (22121)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (22120)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 TRYING [4]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.37 TRYING [5]
% 0.18/0.38 TRYING [4]
% 0.18/0.40 TRYING [6]
% 0.18/0.42 TRYING [5]
% 1.46/0.54 TRYING [7]
% 1.59/0.56 TRYING [6]
% 2.43/0.68 % (22126)First to succeed.
% 2.43/0.68 % (22126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22119"
% 2.43/0.69 % (22126)Refutation found. Thanks to Tanya!
% 2.43/0.69 % SZS status Unsatisfiable for theBenchmark
% 2.43/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.69 % (22126)------------------------------
% 2.43/0.69 % (22126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.43/0.69 % (22126)Termination reason: Refutation
% 2.43/0.69
% 2.43/0.69 % (22126)Memory used [KB]: 6400
% 2.43/0.69 % (22126)Time elapsed: 0.334 s
% 2.43/0.69 % (22126)Instructions burned: 678 (million)
% 2.43/0.69 % (22119)Success in time 0.343 s
%------------------------------------------------------------------------------