TSTP Solution File: GRP710-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP710-10 : 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 : n005.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 : Tue Apr 30 12:08:43 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f476,plain,
$false,
inference(equality_resolution,[],[f467]) ).
fof(f467,plain,
! [X0] : x1 != X0,
inference(superposition,[],[f6,f423]) ).
fof(f423,plain,
! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
inference(superposition,[],[f415,f192]) ).
fof(f192,plain,
! [X0] : i(i(X0)) = X0,
inference(superposition,[],[f184,f1]) ).
fof(f1,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f184,plain,
! [X0] : mult(i(i(X0)),unit) = X0,
inference(forward_demodulation,[],[f168,f5]) ).
fof(f5,axiom,
! [X0] : unit = mult(i(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f168,plain,
! [X0] : mult(i(i(X0)),mult(i(X0),X0)) = X0,
inference(superposition,[],[f31,f131]) ).
fof(f131,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f119,f2]) ).
fof(f2,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f119,plain,
! [X0] : mult(unit,X0) = mult(i(X0),mult(X0,X0)),
inference(superposition,[],[f34,f5]) ).
fof(f34,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f22,f1]) ).
fof(f22,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f31,plain,
! [X0,X1] : mult(X0,X1) = mult(i(X0),mult(X0,mult(X0,X1))),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X0,X1] : mult(i(X0),mult(X0,mult(X0,X1))) = mult(mult(unit,X0),X1),
inference(superposition,[],[f3,f5]) ).
fof(f415,plain,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
inference(forward_demodulation,[],[f388,f75]) ).
fof(f75,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = X1,
inference(forward_demodulation,[],[f56,f2]) ).
fof(f56,plain,
! [X0,X1] : mult(unit,X1) = mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))),
inference(superposition,[],[f35,f5]) ).
fof(f35,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
inference(backward_demodulation,[],[f3,f34]) ).
fof(f388,plain,
! [X0,X1] : mult(i(mult(X0,X0)),mult(X0,mult(X0,X1))) = mult(i(X0),mult(X0,X1)),
inference(superposition,[],[f75,f196]) ).
fof(f196,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,mult(i(X0),mult(X0,X1))),
inference(backward_demodulation,[],[f169,f192]) ).
fof(f169,plain,
! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),mult(i(X0),mult(X0,X1))),
inference(superposition,[],[f31,f31]) ).
fof(f6,axiom,
! [X3] : mult(x0,X3) != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP710-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n005.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 : Tue Apr 30 04:33:26 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (14664)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14668)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (14665)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (14667)WARNING: value z3 for option sas not known
% 0.22/0.39 % (14669)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)
% 0.22/0.39 % (14666)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (14667)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)
% 0.22/0.39 % (14670)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)
% 0.22/0.39 % (14671)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)
% 0.22/0.39 TRYING [5]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [6]
% 0.22/0.42 % (14670)First to succeed.
% 0.22/0.42 % (14670)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (14670)------------------------------
% 0.22/0.42 % (14670)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42 % (14670)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (14670)Memory used [KB]: 936
% 0.22/0.42 % (14670)Time elapsed: 0.030 s
% 0.22/0.42 % (14670)Instructions burned: 27 (million)
% 0.22/0.42 % (14670)------------------------------
% 0.22/0.42 % (14670)------------------------------
% 0.22/0.42 % (14664)Success in time 0.058 s
%------------------------------------------------------------------------------