TSTP Solution File: GRP659-10 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP659-10 : 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 : n023.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 06:10:14 EDT 2024
% Result : Unsatisfiable 1.59s 0.59s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 82 ( 82 unt; 0 def)
% Number of atoms : 82 ( 81 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 152 ( 152 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3326,plain,
$false,
inference(trivial_inequality_removal,[],[f3325]) ).
fof(f3325,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[],[f3268,f2795]) ).
fof(f2795,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = X1,
inference(backward_demodulation,[],[f1513,f2750]) ).
fof(f2750,plain,
! [X0,X1] : ld(ld(X0,ld(X1,X1)),ld(X1,X1)) = X0,
inference(backward_demodulation,[],[f1308,f2683]) ).
fof(f2683,plain,
! [X0,X1] : ld(X1,X1) = mult(ld(X1,ld(X0,X0)),X1),
inference(backward_demodulation,[],[f1660,f2672]) ).
fof(f2672,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f2671,f192]) ).
fof(f192,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(superposition,[],[f4,f166]) ).
fof(f166,plain,
! [X1] : mult(ld(X1,X1),X1) = X1,
inference(forward_demodulation,[],[f137,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f137,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = mult(ld(X1,X1),X1),
inference(superposition,[],[f2,f105]) ).
fof(f105,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(ld(X1,X1),X1)),
inference(superposition,[],[f21,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f21,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(ld(X1,X2),X1)),
inference(superposition,[],[f13,f3]) ).
fof(f13,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(ld(X0,X1),X0)) = mult(mult(X2,X1),X0),
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X1,X2)),X1) = mult(mult(X0,X1),mult(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f2671,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = X1,
inference(forward_demodulation,[],[f2670,f4]) ).
fof(f2670,plain,
! [X0,X1] : mult(rd(X0,X0),X1) = rd(mult(X1,X0),X0),
inference(forward_demodulation,[],[f2618,f1]) ).
fof(f2618,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = mult(rd(X0,X0),mult(X0,ld(X0,X1))),
inference(superposition,[],[f52,f2591]) ).
fof(f2591,plain,
! [X0,X1] : mult(X1,X0) = mult(X0,mult(ld(X0,X1),X0)),
inference(backward_demodulation,[],[f194,f2589]) ).
fof(f2589,plain,
! [X0,X1] : mult(X1,X0) = mult(mult(ld(X0,X0),X1),X0),
inference(forward_demodulation,[],[f2588,f741]) ).
fof(f741,plain,
! [X0,X1] : mult(X0,X1) = ld(ld(X0,ld(X1,X1)),X1),
inference(superposition,[],[f2,f627]) ).
fof(f627,plain,
! [X0,X1] : mult(ld(X1,ld(X0,X0)),mult(X1,X0)) = X0,
inference(forward_demodulation,[],[f626,f4]) ).
fof(f626,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,ld(X0,X0)),mult(X1,X0)),
inference(forward_demodulation,[],[f625,f4]) ).
fof(f625,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(mult(ld(X1,ld(X0,X0)),X1),X1),mult(X1,X0)),
inference(forward_demodulation,[],[f603,f254]) ).
fof(f254,plain,
! [X2,X0,X1] : mult(ld(X2,ld(X0,X1)),X2) = ld(mult(X0,X2),mult(X1,X2)),
inference(superposition,[],[f29,f1]) ).
fof(f29,plain,
! [X2,X0,X1] : mult(ld(X1,X2),X1) = ld(mult(X0,X1),mult(mult(X0,X2),X1)),
inference(superposition,[],[f2,f13]) ).
fof(f603,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(ld(mult(X0,X1),mult(X0,X1)),X1),mult(X1,X0)),
inference(superposition,[],[f52,f166]) ).
fof(f2588,plain,
! [X0,X1] : mult(mult(ld(X0,X0),X1),X0) = ld(ld(X1,ld(X0,X0)),X0),
inference(forward_demodulation,[],[f2545,f1968]) ).
fof(f1968,plain,
! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),ld(X0,X0)),
inference(forward_demodulation,[],[f1967,f1802]) ).
fof(f1802,plain,
! [X0,X1] : ld(X0,X0) = mult(rd(ld(X1,X0),X0),X1),
inference(superposition,[],[f3,f1443]) ).
fof(f1443,plain,
! [X0,X1] : rd(ld(X0,X0),X1) = rd(ld(X1,X0),X0),
inference(superposition,[],[f4,f885]) ).
fof(f885,plain,
! [X0,X1] : ld(X0,X1) = mult(rd(ld(X1,X1),X0),X1),
inference(superposition,[],[f2,f723]) ).
fof(f723,plain,
! [X0,X1] : mult(X1,mult(rd(ld(X0,X0),X1),X0)) = X0,
inference(superposition,[],[f627,f7]) ).
fof(f7,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f1967,plain,
! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),mult(rd(ld(X1,X0),X0),X1)),
inference(forward_demodulation,[],[f1966,f1277]) ).
fof(f1277,plain,
! [X0,X1] : ld(X0,ld(ld(X0,X1),ld(X0,X1))) = rd(ld(X0,X1),X1),
inference(superposition,[],[f742,f1]) ).
fof(f742,plain,
! [X0,X1] : ld(X0,ld(X1,X1)) = rd(X1,mult(X0,X1)),
inference(superposition,[],[f4,f627]) ).
fof(f1966,plain,
! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),mult(ld(X1,ld(ld(X1,X0),ld(X1,X0))),X1)),
inference(forward_demodulation,[],[f1965,f254]) ).
fof(f1965,plain,
! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),ld(mult(ld(X1,X0),X1),mult(ld(X1,X0),X1))),
inference(forward_demodulation,[],[f1931,f4]) ).
fof(f1931,plain,
! [X0,X1] : ld(ld(X0,X1),ld(mult(ld(X1,X0),X1),mult(ld(X1,X0),X1))) = rd(mult(ld(X1,X0),X1),X1),
inference(superposition,[],[f742,f1482]) ).
fof(f1482,plain,
! [X0,X1] : mult(ld(X1,X0),mult(ld(X0,X1),X0)) = X0,
inference(forward_demodulation,[],[f1440,f166]) ).
fof(f1440,plain,
! [X0,X1] : mult(ld(X0,X0),X0) = mult(ld(X1,X0),mult(ld(X0,X1),X0)),
inference(superposition,[],[f31,f885]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(mult(rd(X2,X1),X0),mult(ld(X0,X1),X0)),
inference(superposition,[],[f16,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X0,X1) = mult(mult(rd(X0,mult(X1,X2)),X1),mult(X2,X1)),
inference(superposition,[],[f5,f3]) ).
fof(f2545,plain,
! [X0,X1] : mult(mult(ld(X0,X0),X1),X0) = ld(ld(X1,ld(ld(X0,X0),ld(X0,X0))),X0),
inference(superposition,[],[f741,f1858]) ).
fof(f1858,plain,
! [X0,X1] : ld(X1,ld(X0,X0)) = ld(mult(X0,X1),X0),
inference(forward_demodulation,[],[f1843,f742]) ).
fof(f1843,plain,
! [X0,X1] : ld(mult(X0,X1),X0) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f8,f1480]) ).
fof(f1480,plain,
! [X0,X1] : mult(X1,X0) = ld(ld(mult(X0,X1),X0),X0),
inference(forward_demodulation,[],[f1438,f166]) ).
fof(f1438,plain,
! [X0,X1] : mult(X1,X0) = ld(ld(mult(X0,X1),X0),mult(ld(X0,X0),X0)),
inference(superposition,[],[f48,f885]) ).
fof(f48,plain,
! [X2,X0,X1] : mult(X2,X1) = ld(mult(rd(X0,mult(X1,X2)),X1),mult(X0,X1)),
inference(superposition,[],[f2,f16]) ).
fof(f8,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f194,plain,
! [X0,X1] : mult(mult(ld(X0,X0),X1),X0) = mult(X0,mult(ld(X0,X1),X0)),
inference(superposition,[],[f13,f166]) ).
fof(f52,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,X2)) = rd(mult(X0,mult(X2,X1)),X1),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = rd(mult(mult(X0,X1),mult(X2,X1)),X1),
inference(superposition,[],[f4,f5]) ).
fof(f1660,plain,
! [X0,X1] : mult(ld(X1,ld(X0,X0)),X1) = ld(mult(ld(X0,X0),X1),mult(ld(X0,X0),X1)),
inference(superposition,[],[f29,f1362]) ).
fof(f1362,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f1327,f192]) ).
fof(f1327,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f4,f820]) ).
fof(f820,plain,
! [X0] : mult(mult(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(backward_demodulation,[],[f795,f819]) ).
fof(f819,plain,
! [X0] : mult(ld(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),X0) = X0,
inference(forward_demodulation,[],[f818,f1]) ).
fof(f818,plain,
! [X0] : mult(ld(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),mult(X0,ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f817,f166]) ).
fof(f817,plain,
! [X0] : mult(ld(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),mult(mult(ld(X0,X0),X0),ld(X0,X0))) = X0,
inference(forward_demodulation,[],[f809,f164]) ).
fof(f164,plain,
! [X0,X1] : mult(mult(X0,X1),ld(X1,X1)) = mult(mult(X0,ld(X1,X1)),X1),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f136,plain,
! [X0,X1] : mult(mult(X0,ld(X1,X1)),mult(X1,ld(X1,X1))) = mult(mult(X0,X1),ld(X1,X1)),
inference(superposition,[],[f5,f105]) ).
fof(f809,plain,
! [X0] : mult(ld(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),mult(mult(ld(X0,X0),ld(X0,X0)),X0)) = X0,
inference(superposition,[],[f627,f774]) ).
fof(f774,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(backward_demodulation,[],[f329,f742]) ).
fof(f329,plain,
! [X0] : ld(mult(X0,X0),X0) = rd(X0,mult(X0,X0)),
inference(superposition,[],[f4,f266]) ).
fof(f266,plain,
! [X1] : mult(ld(mult(X1,X1),X1),mult(X1,X1)) = X1,
inference(superposition,[],[f29,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : ld(mult(X0,mult(X1,X2)),mult(mult(X0,X1),mult(X2,X1))) = X1,
inference(superposition,[],[f2,f5]) ).
fof(f795,plain,
! [X0] : mult(mult(ld(X0,X0),ld(X0,X0)),mult(ld(ld(X0,X0),ld(ld(X0,X0),ld(X0,X0))),X0)) = X0,
inference(backward_demodulation,[],[f722,f774]) ).
fof(f722,plain,
! [X0] : mult(mult(ld(X0,X0),ld(X0,X0)),mult(ld(mult(ld(X0,X0),ld(X0,X0)),ld(X0,X0)),X0)) = X0,
inference(superposition,[],[f627,f328]) ).
fof(f328,plain,
! [X0] : mult(X0,X0) = ld(ld(mult(X0,X0),X0),X0),
inference(superposition,[],[f2,f266]) ).
fof(f1308,plain,
! [X0,X1] : ld(ld(X0,ld(X1,X1)),mult(ld(X1,ld(X0,X0)),X1)) = X0,
inference(forward_demodulation,[],[f1307,f4]) ).
fof(f1307,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = ld(ld(X0,ld(X1,X1)),mult(ld(X1,ld(X0,X0)),X1)),
inference(forward_demodulation,[],[f1279,f254]) ).
fof(f1279,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = ld(ld(X0,ld(X1,X1)),ld(mult(X0,X1),mult(X0,X1))),
inference(superposition,[],[f742,f627]) ).
fof(f1513,plain,
! [X0,X1] : mult(X1,ld(X0,X0)) = ld(ld(X1,ld(X0,X0)),ld(X0,X0)),
inference(superposition,[],[f741,f987]) ).
fof(f987,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f961,f192]) ).
fof(f961,plain,
! [X0] : rd(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f4,f725]) ).
fof(f725,plain,
! [X0] : mult(ld(ld(X0,X0),ld(X0,X0)),X0) = X0,
inference(superposition,[],[f627,f166]) ).
fof(f3268,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))),
inference(superposition,[],[f6,f2672]) ).
fof(f6,axiom,
! [X3] : tuple(mult(X3,x1(X3)),mult(x1_2(X3),X3)) != tuple(x1(X3),x1_2(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP659-10 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:46:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (15677)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (15678)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (15680)WARNING: value z3 for option sas not known
% 0.15/0.40 TRYING [3]
% 0.15/0.40 % (15679)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (15684)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)
% 0.15/0.40 % (15682)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)
% 0.15/0.40 % (15681)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (15683)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)
% 0.15/0.40 % (15680)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.41 TRYING [4]
% 0.22/0.43 TRYING [4]
% 0.22/0.44 TRYING [5]
% 0.22/0.50 TRYING [6]
% 1.59/0.59 % (15683)First to succeed.
% 1.59/0.59 % (15683)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15677"
% 1.59/0.59 % (15683)Refutation found. Thanks to Tanya!
% 1.59/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.59 % (15683)------------------------------
% 1.59/0.59 % (15683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.59/0.59 % (15683)Termination reason: Refutation
% 1.59/0.59
% 1.59/0.59 % (15683)Memory used [KB]: 3104
% 1.59/0.59 % (15683)Time elapsed: 0.207 s
% 1.59/0.59 % (15683)Instructions burned: 386 (million)
% 1.59/0.59 % (15677)Success in time 0.225 s
%------------------------------------------------------------------------------