TSTP Solution File: LDA002-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Tue Apr 30 13:53:16 EDT 2024
% Result : Unsatisfiable 0.17s 0.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 72 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1108,plain,
$false,
inference(trivial_inequality_removal,[],[f1105]) ).
fof(f1105,plain,
f(n2,v) != f(n2,v),
inference(superposition,[],[f248,f1096]) ).
fof(f1096,plain,
f(a,v) = f(n2,v),
inference(forward_demodulation,[],[f1095,f209]) ).
fof(f209,plain,
f(n2,v) = f(n3,v),
inference(forward_demodulation,[],[f205,f187]) ).
fof(f187,plain,
v = f(n1,uu),
inference(backward_demodulation,[],[f76,f182]) ).
fof(f182,plain,
v = f(n2,uu),
inference(forward_demodulation,[],[f181,f11]) ).
fof(f11,axiom,
v = f(uu,uu),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f181,plain,
f(uu,uu) = f(n2,uu),
inference(forward_demodulation,[],[f173,f42]) ).
fof(f42,plain,
f(n2,uu) = f(u,uu),
inference(superposition,[],[f14,f40]) ).
fof(f40,plain,
uu = f(n2,u),
inference(forward_demodulation,[],[f36,f8]) ).
fof(f8,axiom,
uu = f(u,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f36,plain,
f(u,u) = f(n2,u),
inference(superposition,[],[f14,f4]) ).
fof(f4,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f14,plain,
! [X0] : f(n2,f(n2,X0)) = f(u,f(n2,X0)),
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
fof(f173,plain,
f(uu,uu) = f(u,uu),
inference(superposition,[],[f20,f8]) ).
fof(f20,plain,
! [X0] : f(u,f(u,X0)) = f(uu,f(u,X0)),
inference(superposition,[],[f1,f8]) ).
fof(f76,plain,
f(n2,uu) = f(n1,uu),
inference(superposition,[],[f16,f60]) ).
fof(f60,plain,
uu = f(n1,u),
inference(forward_demodulation,[],[f57,f40]) ).
fof(f57,plain,
f(n2,u) = f(n1,u),
inference(superposition,[],[f16,f56]) ).
fof(f56,plain,
u = f(n1,n2),
inference(forward_demodulation,[],[f53,f4]) ).
fof(f53,plain,
f(n2,n2) = f(n1,n2),
inference(superposition,[],[f16,f2]) ).
fof(f2,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f16,plain,
! [X0] : f(n1,f(n1,X0)) = f(n2,f(n1,X0)),
inference(superposition,[],[f1,f2]) ).
fof(f205,plain,
f(n2,f(n1,uu)) = f(n3,v),
inference(superposition,[],[f17,f182]) ).
fof(f17,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f1095,plain,
f(a,v) = f(n3,v),
inference(forward_demodulation,[],[f1094,f182]) ).
fof(f1094,plain,
f(n3,f(n2,uu)) = f(a,f(n2,uu)),
inference(forward_demodulation,[],[f1093,f60]) ).
fof(f1093,plain,
f(n3,f(n2,uu)) = f(a,f(n2,f(n1,u))),
inference(forward_demodulation,[],[f1092,f17]) ).
fof(f1092,plain,
f(n3,f(n2,uu)) = f(a,f(n3,f(n2,u))),
inference(forward_demodulation,[],[f1091,f72]) ).
fof(f72,plain,
! [X0] : f(n3,f(X0,u)) = f(f(n3,X0),uu),
inference(superposition,[],[f1,f68]) ).
fof(f68,plain,
uu = f(n3,u),
inference(forward_demodulation,[],[f67,f40]) ).
fof(f67,plain,
f(n2,u) = f(n3,u),
inference(forward_demodulation,[],[f61,f56]) ).
fof(f61,plain,
f(n2,f(n1,n2)) = f(n3,u),
inference(superposition,[],[f17,f4]) ).
fof(f1091,plain,
f(n3,f(n2,uu)) = f(a,f(f(n3,n2),uu)),
inference(forward_demodulation,[],[f1082,f188]) ).
fof(f188,plain,
! [X0] : f(n3,f(X0,uu)) = f(f(n3,X0),v),
inference(backward_demodulation,[],[f79,f182]) ).
fof(f79,plain,
! [X0] : f(n3,f(X0,uu)) = f(f(n3,X0),f(n2,uu)),
inference(superposition,[],[f1,f71]) ).
fof(f71,plain,
f(n2,uu) = f(n3,uu),
inference(forward_demodulation,[],[f64,f60]) ).
fof(f64,plain,
f(n2,f(n1,u)) = f(n3,uu),
inference(superposition,[],[f17,f40]) ).
fof(f1082,plain,
f(a,f(f(n3,n2),uu)) = f(f(n3,n2),v),
inference(superposition,[],[f21,f734]) ).
fof(f734,plain,
v = f(u2,uu),
inference(forward_demodulation,[],[f733,f183]) ).
fof(f183,plain,
v = f(u,uu),
inference(backward_demodulation,[],[f42,f182]) ).
fof(f733,plain,
f(u,uu) = f(u2,uu),
inference(forward_demodulation,[],[f705,f40]) ).
fof(f705,plain,
f(u,f(n2,u)) = f(u2,uu),
inference(superposition,[],[f31,f6]) ).
fof(f6,axiom,
u2 = f(u,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f31,plain,
! [X0] : f(u,f(X0,u)) = f(f(u,X0),uu),
inference(superposition,[],[f1,f8]) ).
fof(f21,plain,
! [X0] : f(f(n3,n2),f(u2,X0)) = f(a,f(f(n3,n2),X0)),
inference(superposition,[],[f1,f9]) ).
fof(f9,axiom,
a = f(f(n3,n2),u2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f248,plain,
f(a,v) != f(n2,v),
inference(backward_demodulation,[],[f12,f247]) ).
fof(f247,plain,
f(b,v) = f(n2,v),
inference(forward_demodulation,[],[f246,f194]) ).
fof(f194,plain,
f(n2,v) = f(u1,v),
inference(backward_demodulation,[],[f109,f182]) ).
fof(f109,plain,
f(n2,f(n2,uu)) = f(u1,f(n2,uu)),
inference(forward_demodulation,[],[f108,f14]) ).
fof(f108,plain,
f(u1,f(n2,uu)) = f(u,f(n2,uu)),
inference(forward_demodulation,[],[f97,f76]) ).
fof(f97,plain,
f(u,f(n1,uu)) = f(u1,f(n2,uu)),
inference(superposition,[],[f18,f42]) ).
fof(f18,plain,
! [X0] : f(u,f(n1,X0)) = f(u1,f(u,X0)),
inference(superposition,[],[f1,f5]) ).
fof(f5,axiom,
u1 = f(u,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f246,plain,
f(b,v) = f(u1,v),
inference(forward_demodulation,[],[f237,f195]) ).
fof(f195,plain,
v = f(u3,uu),
inference(backward_demodulation,[],[f126,f182]) ).
fof(f126,plain,
f(n2,uu) = f(u3,uu),
inference(forward_demodulation,[],[f125,f42]) ).
fof(f125,plain,
f(u,uu) = f(u3,uu),
inference(forward_demodulation,[],[f116,f68]) ).
fof(f116,plain,
f(u,f(n3,u)) = f(u3,uu),
inference(superposition,[],[f19,f8]) ).
fof(f19,plain,
! [X0] : f(u,f(n3,X0)) = f(u3,f(u,X0)),
inference(superposition,[],[f1,f7]) ).
fof(f7,axiom,
u3 = f(u,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f237,plain,
f(b,v) = f(u1,f(u3,uu)),
inference(superposition,[],[f22,f193]) ).
fof(f193,plain,
v = f(u1,uu),
inference(backward_demodulation,[],[f107,f182]) ).
fof(f107,plain,
f(n2,uu) = f(u1,uu),
inference(forward_demodulation,[],[f106,f42]) ).
fof(f106,plain,
f(u,uu) = f(u1,uu),
inference(forward_demodulation,[],[f95,f60]) ).
fof(f95,plain,
f(u,f(n1,u)) = f(u1,uu),
inference(superposition,[],[f18,f8]) ).
fof(f22,plain,
! [X0] : f(u1,f(u3,X0)) = f(b,f(u1,X0)),
inference(superposition,[],[f1,f10]) ).
fof(f10,axiom,
b = f(u1,u3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f12,axiom,
f(a,v) != f(b,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LDA002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 01:57:17 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (8878)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (8881)WARNING: value z3 for option sas not known
% 0.11/0.34 % (8881)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)
% 0.11/0.34 % (8879)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (8880)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (8882)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (8884)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)
% 0.11/0.34 % (8883)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)
% 0.11/0.34 % (8885)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.36 TRYING [1]
% 0.11/0.36 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [5]
% 0.11/0.37 TRYING [5]
% 0.11/0.38 TRYING [5]
% 0.11/0.38 % (8884)First to succeed.
% 0.17/0.39 % (8884)Refutation found. Thanks to Tanya!
% 0.17/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.39 % (8884)------------------------------
% 0.17/0.39 % (8884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.39 % (8884)Termination reason: Refutation
% 0.17/0.39
% 0.17/0.39 % (8884)Memory used [KB]: 1595
% 0.17/0.39 % (8884)Time elapsed: 0.046 s
% 0.17/0.39 % (8884)Instructions burned: 86 (million)
% 0.17/0.39 % (8884)------------------------------
% 0.17/0.39 % (8884)------------------------------
% 0.17/0.39 % (8878)Success in time 0.057 s
%------------------------------------------------------------------------------