TSTP Solution File: GRP685-11 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP685-11 : 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 : n007.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 06:10:22 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f469,plain,
$false,
inference(trivial_inequality_removal,[],[f465]) ).
fof(f465,plain,
mult(x6,rd(x8,x8)) != mult(x6,rd(x8,x8)),
inference(superposition,[],[f287,f368]) ).
fof(f368,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(backward_demodulation,[],[f4,f367]) ).
fof(f367,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[],[f339,f283]) ).
fof(f283,plain,
! [X2,X0] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = mult(X0,rd(X2,X2)),
inference(backward_demodulation,[],[f258,f282]) ).
fof(f282,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,rd(X2,X2)),
inference(forward_demodulation,[],[f281,f111]) ).
fof(f111,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(X0,ld(X0,X1))),
inference(forward_demodulation,[],[f110,f3]) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f110,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,ld(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f95,f38]) ).
fof(f38,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(backward_demodulation,[],[f14,f33]) ).
fof(f33,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(backward_demodulation,[],[f16,f27]) ).
fof(f27,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f11,f21]) ).
fof(f21,plain,
! [X0] : rd(X0,X0) = mult(rd(rd(X0,X0),X0),X0),
inference(superposition,[],[f4,f18]) ).
fof(f18,plain,
! [X0] : mult(rd(X0,X0),X0) = X0,
inference(superposition,[],[f4,f2]) ).
fof(f2,axiom,
! [X0] : rd(mult(X0,X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f11,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = mult(rd(rd(X0,X0),X1),X1),
inference(forward_demodulation,[],[f7,f4]) ).
fof(f7,axiom,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
fof(f16,plain,
! [X0] : ld(X0,X0) = mult(X0,ld(X0,ld(X0,X0))),
inference(superposition,[],[f3,f14]) ).
fof(f14,plain,
! [X0] : mult(X0,ld(X0,X0)) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : ld(X0,mult(X0,X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f95,plain,
! [X0,X1] : mult(X0,ld(X0,mult(X0,X1))) = mult(mult(X0,rd(X0,X0)),X1),
inference(superposition,[],[f82,f33]) ).
fof(f82,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = mult(X0,ld(X0,mult(X1,X2))),
inference(forward_demodulation,[],[f67,f3]) ).
fof(f67,plain,
! [X2,X0,X1] : mult(mult(X0,ld(X0,X1)),X2) = ld(X0,mult(X0,mult(X1,X2))),
inference(superposition,[],[f12,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(mult(X0,ld(X0,X2)),X3),
inference(forward_demodulation,[],[f5,f3]) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f281,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(X0,ld(X0,rd(X2,X2)))),
inference(forward_demodulation,[],[f264,f39]) ).
fof(f39,plain,
! [X0,X1] : mult(rd(rd(X0,X0),X1),X1) = mult(X0,ld(X0,rd(X1,X1))),
inference(backward_demodulation,[],[f11,f33]) ).
fof(f264,plain,
! [X2,X0,X1] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,mult(rd(rd(X0,X0),X2),X2)),
inference(superposition,[],[f13,f38]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,mult(rd(X1,X3),X3)),
inference(forward_demodulation,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f258,plain,
! [X2,X0,X1] : mult(rd(X0,X0),mult(rd(X0,X2),X2)) = rd(mult(X0,rd(X1,X2)),rd(X1,X2)),
inference(superposition,[],[f13,f18]) ).
fof(f339,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(rd(X0,X0),mult(rd(X0,X1),X1)),
inference(superposition,[],[f273,f18]) ).
fof(f273,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X2,X0),X0)) = rd(mult(mult(X1,X2),X0),X0),
inference(superposition,[],[f13,f2]) ).
fof(f4,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
fof(f287,plain,
mult(rd(x6,x8),x8) != mult(x6,rd(x8,x8)),
inference(backward_demodulation,[],[f9,f282]) ).
fof(f9,plain,
rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != mult(rd(x6,x8),x8),
inference(backward_demodulation,[],[f8,f4]) ).
fof(f8,axiom,
rd(mult(x6,rd(x7,x8)),rd(x7,x8)) != rd(mult(x6,x8),x8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP685-11 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n007.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 : Fri May 3 20:53:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (17388)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (17391)WARNING: value z3 for option sas not known
% 0.13/0.37 % (17394)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 % (17390)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 % (17392)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (17391)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 % (17393)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 % (17395)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 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 % (17389)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [3]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.39 TRYING [3]
% 0.13/0.39 % (17394)First to succeed.
% 0.13/0.39 % (17394)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17388"
% 0.13/0.39 TRYING [3]
% 0.13/0.39 % (17394)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (17394)------------------------------
% 0.13/0.39 % (17394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (17394)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (17394)Memory used [KB]: 1083
% 0.13/0.39 % (17394)Time elapsed: 0.023 s
% 0.13/0.39 % (17394)Instructions burned: 44 (million)
% 0.13/0.39 % (17388)Success in time 0.038 s
%------------------------------------------------------------------------------