TSTP Solution File: GRP752-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP752-1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Mon May 20 21:32:52 EDT 2024
% Result : Unsatisfiable 235.39s 34.04s
% Output : Refutation 235.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 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 : 183 ( 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f684669,plain,
$false,
inference(trivial_inequality_removal,[],[f684234]) ).
fof(f684234,plain,
mult(mult(a,b),c) != mult(mult(a,b),c),
inference(superposition,[],[f8,f368840]) ).
fof(f368840,plain,
! [X2,X0,X1] : mult(mult(X2,X0),X1) = mult(mult(X2,X1),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f368343,f276559]) ).
fof(f276559,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,rd(X2,ld(X1,X0))),X0),
inference(forward_demodulation,[],[f275822,f245682]) ).
fof(f245682,plain,
! [X2,X0,X1] : mult(X1,rd(X0,X2)) = rd(mult(X1,X0),mult(ld(X1,X1),X2)),
inference(forward_demodulation,[],[f245159,f29809]) ).
fof(f29809,plain,
! [X2,X0,X1] : rd(mult(X0,X0),mult(ld(X1,X0),X2)) = mult(X1,rd(X0,X2)),
inference(forward_demodulation,[],[f29570,f97]) ).
fof(f97,plain,
! [X2,X0,X1] : mult(X0,rd(X1,X2)) = rd(mult(mult(X0,X0),X1),mult(X0,X2)),
inference(superposition,[],[f4,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(X2,X1)) = mult(mult(X2,X2),X0),
inference(superposition,[],[f6,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X0),mult(X1,X2)) = mult(mult(X0,X1),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f29570,plain,
! [X2,X0,X1] : rd(mult(X0,X0),mult(ld(X1,X0),X2)) = rd(mult(mult(X1,X1),X0),mult(X1,X2)),
inference(superposition,[],[f13762,f110]) ).
fof(f110,plain,
! [X2,X0,X1] : mult(X0,X0) = rd(mult(X1,mult(X0,X2)),mult(ld(X0,X1),X2)),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(ld(X0,X1),X2)) = mult(X1,mult(X0,X2)),
inference(superposition,[],[f6,f1]) ).
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f13762,plain,
! [X2,X0,X1] : rd(mult(X0,X0),X1) = rd(mult(rd(mult(X0,X2),X1),X0),X2),
inference(superposition,[],[f4,f5329]) ).
fof(f5329,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X0),X2),X1) = mult(rd(mult(X0,X1),X2),X0),
inference(superposition,[],[f1941,f2]) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f1941,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X0),X2),ld(X0,X1)) = mult(rd(X1,X2),X0),
inference(forward_demodulation,[],[f1890,f411]) ).
fof(f411,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,mult(X2,X1)),mult(X1,X1)),
inference(superposition,[],[f4,f40]) ).
fof(f40,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),mult(X1,X1)) = mult(X0,mult(X2,X1)),
inference(superposition,[],[f7,f3]) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X2)) = mult(mult(X0,X2),mult(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f1890,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X0),X2),ld(X0,X1)) = rd(mult(X1,mult(X0,X2)),mult(X2,X2)),
inference(superposition,[],[f411,f20]) ).
fof(f245159,plain,
! [X2,X0,X1] : rd(mult(X0,X0),mult(ld(X1,X0),X2)) = rd(mult(X1,X0),mult(ld(X1,X1),X2)),
inference(superposition,[],[f13762,f240858]) ).
fof(f240858,plain,
! [X2,X0,X1] : rd(mult(X2,mult(ld(X0,X0),X1)),mult(ld(X0,X2),X1)) = X0,
inference(superposition,[],[f240275,f2]) ).
fof(f240275,plain,
! [X2,X0,X1] : rd(mult(X1,X2),mult(ld(X0,X1),ld(ld(X0,X0),X2))) = X0,
inference(forward_demodulation,[],[f240274,f2176]) ).
fof(f2176,plain,
! [X2,X3,X0,X1] : mult(ld(X0,X3),ld(ld(X0,X1),X2)) = ld(mult(X0,X0),mult(X3,ld(X1,mult(mult(X0,X0),X2)))),
inference(superposition,[],[f109,f671]) ).
fof(f671,plain,
! [X2,X0,X1] : mult(X1,ld(ld(X1,X0),X2)) = ld(X0,mult(mult(X1,X1),X2)),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
! [X2,X0,X1] : mult(mult(X0,X0),X2) = mult(X1,mult(X0,ld(ld(X0,X1),X2))),
inference(superposition,[],[f16,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(mult(X2,X0),mult(X2,ld(X0,X1))) = mult(mult(X2,X2),X1),
inference(superposition,[],[f6,f1]) ).
fof(f109,plain,
! [X2,X0,X1] : mult(ld(X0,X1),X2) = ld(mult(X0,X0),mult(X1,mult(X0,X2))),
inference(superposition,[],[f2,f20]) ).
fof(f240274,plain,
! [X2,X0,X1] : rd(mult(X1,X2),ld(mult(X0,X0),mult(X1,ld(X0,mult(mult(X0,X0),X2))))) = X0,
inference(forward_demodulation,[],[f240273,f6358]) ).
fof(f6358,plain,
! [X2,X3,X0,X1] : ld(X3,mult(X1,ld(X0,X2))) = ld(X0,ld(mult(X0,X3),mult(mult(X0,X1),X2))),
inference(superposition,[],[f2284,f128]) ).
fof(f128,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X2)) = ld(mult(X0,X0),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f23]) ).
fof(f23,plain,
! [X2,X0,X1] : mult(mult(X0,X0),mult(X2,ld(X0,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f6,f1]) ).
fof(f2284,plain,
! [X2,X0,X1] : ld(X1,ld(mult(X0,X0),X2)) = ld(X0,ld(mult(X0,X1),X2)),
inference(superposition,[],[f2,f785]) ).
fof(f785,plain,
! [X2,X0,X1] : mult(X0,ld(X2,ld(mult(X0,X0),X1))) = ld(mult(X0,X2),X1),
inference(superposition,[],[f73,f1]) ).
fof(f73,plain,
! [X2,X0,X1] : mult(X0,ld(X1,X2)) = ld(mult(X0,X1),mult(mult(X0,X0),X2)),
inference(superposition,[],[f2,f16]) ).
fof(f240273,plain,
! [X2,X0,X1] : rd(mult(X1,X2),ld(X0,ld(mult(X0,mult(X0,X0)),mult(mult(X0,X1),mult(mult(X0,X0),X2))))) = X0,
inference(forward_demodulation,[],[f239693,f2284]) ).
fof(f239693,plain,
! [X2,X0,X1] : rd(mult(X1,X2),ld(mult(X0,X0),ld(mult(X0,X0),mult(mult(X0,X1),mult(mult(X0,X0),X2))))) = X0,
inference(superposition,[],[f2285,f5137]) ).
fof(f5137,plain,
! [X2,X0,X1] : mult(X1,X2) = ld(mult(X0,mult(X0,X0)),mult(mult(X0,X1),mult(mult(X0,X0),X2))),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(mult(X0,mult(X0,X0)),mult(X1,X2)) = mult(mult(X0,X1),mult(mult(X0,X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f2285,plain,
! [X2,X0,X1] : rd(ld(mult(X0,X1),X2),ld(X1,ld(mult(X0,X0),X2))) = X0,
inference(superposition,[],[f4,f785]) ).
fof(f275822,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(rd(mult(X0,X2),mult(ld(X0,X0),ld(X1,X0))),X0),
inference(superposition,[],[f5329,f249002]) ).
fof(f249002,plain,
! [X2,X0,X1] : mult(X0,X2) = rd(mult(X0,X1),mult(ld(X0,X0),ld(X2,X1))),
inference(forward_demodulation,[],[f248551,f907]) ).
fof(f907,plain,
! [X2,X0,X1] : mult(X0,ld(X2,X1)) = mult(rd(X1,ld(X0,mult(X2,X2))),X2),
inference(forward_demodulation,[],[f863,f73]) ).
fof(f863,plain,
! [X2,X0,X1] : ld(mult(X0,X2),mult(mult(X0,X0),X1)) = mult(rd(X1,ld(X0,mult(X2,X2))),X2),
inference(superposition,[],[f55,f84]) ).
fof(f84,plain,
! [X2,X0,X1] : mult(mult(X0,X0),X2) = mult(mult(X0,rd(X2,ld(X0,X1))),X1),
inference(superposition,[],[f17,f1]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(X2,X1) = ld(mult(X0,X1),mult(mult(X0,X2),mult(X1,X1))),
inference(superposition,[],[f2,f7]) ).
fof(f248551,plain,
! [X2,X0,X1] : mult(X0,X2) = rd(mult(X0,X1),mult(rd(X1,ld(ld(X0,X0),mult(X2,X2))),X2)),
inference(superposition,[],[f56,f241737]) ).
fof(f241737,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(mult(X2,rd(X0,ld(ld(X2,X2),X1))),X1),
inference(forward_demodulation,[],[f241103,f29809]) ).
fof(f241103,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(rd(mult(X0,X0),mult(ld(X2,X0),ld(ld(X2,X2),X1))),X1),
inference(superposition,[],[f5329,f240275]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X0,X1) = rd(mult(mult(X0,X2),mult(X1,X1)),mult(X2,X1)),
inference(superposition,[],[f4,f7]) ).
fof(f368343,plain,
! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,ld(X1,X1))) = mult(mult(X2,rd(X1,ld(X0,X2))),X2),
inference(superposition,[],[f276559,f264554]) ).
fof(f264554,plain,
! [X2,X0,X1] : rd(X2,ld(X1,X0)) = rd(mult(X1,ld(X2,X2)),ld(X2,X0)),
inference(superposition,[],[f245492,f10]) ).
fof(f10,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f245492,plain,
! [X2,X0,X1] : rd(X1,X2) = rd(mult(rd(X0,X2),ld(X1,X1)),ld(X1,X0)),
inference(forward_demodulation,[],[f245491,f4]) ).
fof(f245491,plain,
! [X2,X0,X1] : rd(X1,X2) = rd(mult(rd(X0,X2),rd(mult(ld(X1,X1),X2),X2)),ld(X1,X0)),
inference(forward_demodulation,[],[f244948,f1872]) ).
fof(f1872,plain,
! [X2,X0,X1] : mult(rd(X2,X1),rd(X0,X1)) = rd(mult(X2,X0),mult(X1,X1)),
inference(superposition,[],[f411,f3]) ).
fof(f244948,plain,
! [X2,X0,X1] : rd(X1,X2) = rd(rd(mult(X0,mult(ld(X1,X1),X2)),mult(X2,X2)),ld(X1,X0)),
inference(superposition,[],[f4378,f240858]) ).
fof(f4378,plain,
! [X2,X0,X1] : rd(rd(X0,mult(X1,X1)),X2) = rd(rd(X0,mult(X2,X1)),X1),
inference(superposition,[],[f4,f1711]) ).
fof(f1711,plain,
! [X2,X0,X1] : mult(rd(rd(X0,mult(X1,X1)),X2),X1) = rd(X0,mult(X2,X1)),
inference(superposition,[],[f374,f3]) ).
fof(f374,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,mult(X2,X2)),mult(X1,X2)),
inference(superposition,[],[f4,f32]) ).
fof(f32,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),mult(X1,X2)) = mult(X0,mult(X2,X2)),
inference(superposition,[],[f7,f3]) ).
fof(f8,axiom,
mult(mult(a,b),c) != mult(mult(a,c),mult(b,ld(c,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP752-1 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n012.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun May 19 05:55:52 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.38 % (29175)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (29178)WARNING: value z3 for option sas not known
% 0.16/0.39 % (29182)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)
% 0.16/0.39 % (29181)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)
% 0.16/0.39 % (29180)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)
% 0.16/0.39 % (29177)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (29176)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (29178)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)
% 0.16/0.40 % (29179)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.16/0.40 TRYING [3]
% 0.24/0.41 TRYING [3]
% 0.24/0.41 TRYING [4]
% 0.24/0.47 TRYING [4]
% 0.24/0.48 TRYING [5]
% 3.01/0.80 TRYING [5]
% 3.01/0.85 TRYING [6]
% 7.93/1.50 TRYING [1]
% 7.93/1.50 TRYING [2]
% 7.93/1.50 TRYING [3]
% 7.93/1.51 TRYING [4]
% 8.27/1.57 TRYING [5]
% 12.02/2.08 TRYING [6]
% 22.11/3.59 TRYING [6]
% 24.67/3.93 TRYING [7]
% 35.17/5.41 TRYING [7]
% 103.93/15.26 TRYING [8]
% 209.91/30.39 TRYING [7]
% 221.57/32.09 TRYING [8]
% 234.39/33.92 % (29182)First to succeed.
% 235.39/33.99 % (29182)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29175"
% 235.39/34.04 % (29182)Refutation found. Thanks to Tanya!
% 235.39/34.04 % SZS status Unsatisfiable for theBenchmark
% 235.39/34.04 % SZS output start Proof for theBenchmark
% See solution above
% 235.39/34.05 % (29182)------------------------------
% 235.39/34.05 % (29182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 235.39/34.05 % (29182)Termination reason: Refutation
% 235.39/34.05
% 235.39/34.05 % (29182)Memory used [KB]: 362155
% 235.39/34.05 % (29182)Time elapsed: 33.596 s
% 235.39/34.05 % (29182)Instructions burned: 66642 (million)
% 235.39/34.05 % (29175)Success in time 33.527 s
%------------------------------------------------------------------------------