TSTP Solution File: LDA004-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LDA004-1 : 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 20.11s 3.22s
% Output : Refutation 20.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 59 unt; 0 def)
% Number of atoms : 62 ( 37 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 10 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f275535,plain,
$false,
inference(subsumption_resolution,[],[f275465,f136187]) ).
fof(f136187,plain,
left(f(n2,f(u2,n2)),b),
inference(forward_demodulation,[],[f136186,f8]) ).
fof(f8,axiom,
u2 = f(u,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f136186,plain,
left(f(n2,f(f(u,n2),n2)),b),
inference(forward_demodulation,[],[f136185,f257]) ).
fof(f257,plain,
! [X0] : f(n2,f(X0,n2)) = f(f(n2,X0),u),
inference(superposition,[],[f1,f6]) ).
fof(f6,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f1,axiom,
! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).
fof(f136185,plain,
left(f(f(n2,f(u,n2)),u),b),
inference(forward_demodulation,[],[f136184,f257]) ).
fof(f136184,plain,
left(f(f(f(n2,u),u),u),b),
inference(forward_demodulation,[],[f136183,f17922]) ).
fof(f17922,plain,
b = f(u,u2),
inference(superposition,[],[f8051,f17909]) ).
fof(f17909,plain,
u2 = f(n1,n3),
inference(forward_demodulation,[],[f17908,f8]) ).
fof(f17908,plain,
f(u,n2) = f(n1,n3),
inference(forward_demodulation,[],[f17863,f5]) ).
fof(f5,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f17863,plain,
f(u,n2) = f(n1,f(n2,n1)),
inference(superposition,[],[f259,f4414]) ).
fof(f4414,plain,
u = f(n1,n2),
inference(forward_demodulation,[],[f4403,f6]) ).
fof(f4403,plain,
f(n2,n2) = f(n1,n2),
inference(superposition,[],[f250,f4]) ).
fof(f4,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f250,plain,
! [X0] : f(n1,f(n1,X0)) = f(n2,f(n1,X0)),
inference(superposition,[],[f1,f4]) ).
fof(f259,plain,
! [X0] : f(n1,f(X0,n1)) = f(f(n1,X0),n2),
inference(superposition,[],[f1,f4]) ).
fof(f8051,plain,
b = f(u,f(n1,n3)),
inference(forward_demodulation,[],[f8021,f11]) ).
fof(f11,axiom,
b = f(u1,u3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f8021,plain,
f(u1,u3) = f(u,f(n1,n3)),
inference(superposition,[],[f252,f9]) ).
fof(f9,axiom,
u3 = f(u,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f252,plain,
! [X0] : f(u,f(n1,X0)) = f(u1,f(u,X0)),
inference(superposition,[],[f1,f7]) ).
fof(f7,axiom,
u1 = f(u,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f136183,plain,
left(f(f(f(n2,u),u),u),f(u,u2)),
inference(forward_demodulation,[],[f135906,f16287]) ).
fof(f16287,plain,
f(u,u2) = f(f(n2,u),u2),
inference(forward_demodulation,[],[f16253,f8]) ).
fof(f16253,plain,
f(f(n2,u),u2) = f(u,f(u,n2)),
inference(superposition,[],[f258,f2240]) ).
fof(f2240,plain,
f(n2,u) = f(u,u),
inference(superposition,[],[f248,f6]) ).
fof(f248,plain,
! [X0] : f(n2,f(n2,X0)) = f(u,f(n2,X0)),
inference(superposition,[],[f1,f6]) ).
fof(f258,plain,
! [X0] : f(u,f(X0,n2)) = f(f(u,X0),u2),
inference(superposition,[],[f1,f8]) ).
fof(f135906,plain,
left(f(f(f(n2,u),u),u),f(f(n2,u),u2)),
inference(unit_resulting_resolution,[],[f2800,f80632,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ left(X0,X1)
| ~ left(X1,X2)
| left(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).
fof(f80632,plain,
! [X0] : left(f(f(X0,u),X0),f(X0,u2)),
inference(superposition,[],[f865,f8]) ).
fof(f865,plain,
! [X2,X0,X1] : left(f(f(X0,X1),X0),f(X0,f(X1,X2))),
inference(superposition,[],[f265,f1]) ).
fof(f265,plain,
! [X2,X0,X1] : left(f(X0,X1),f(X0,f(X1,X2))),
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X0,X1] : left(X0,f(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f2800,plain,
! [X0] : left(f(X0,u),f(X0,f(n2,u))),
inference(superposition,[],[f265,f2240]) ).
fof(f275465,plain,
~ left(f(n2,f(u2,n2)),b),
inference(superposition,[],[f35352,f17934]) ).
fof(f17934,plain,
f(u2,n2) = f(n1,f(n3,n1)),
inference(superposition,[],[f259,f17909]) ).
fof(f35352,plain,
! [X0] : ~ left(f(n2,f(n1,f(n3,X0))),b),
inference(forward_demodulation,[],[f35351,f251]) ).
fof(f251,plain,
! [X0] : f(n2,f(n1,X0)) = f(n3,f(n2,X0)),
inference(superposition,[],[f1,f5]) ).
fof(f35351,plain,
! [X0] : ~ left(f(n3,f(n2,f(n3,X0))),b),
inference(forward_demodulation,[],[f35350,f1]) ).
fof(f35350,plain,
! [X0] : ~ left(f(f(n3,n2),f(n3,f(n3,X0))),b),
inference(forward_demodulation,[],[f35347,f6103]) ).
fof(f6103,plain,
! [X0] : f(u,f(n3,X0)) = f(n3,f(n3,X0)),
inference(superposition,[],[f1,f6082]) ).
fof(f6082,plain,
u = f(n3,n3),
inference(forward_demodulation,[],[f6081,f6]) ).
fof(f6081,plain,
f(n2,n2) = f(n3,n3),
inference(forward_demodulation,[],[f6055,f4]) ).
fof(f6055,plain,
f(n2,f(n1,n1)) = f(n3,n3),
inference(superposition,[],[f251,f5]) ).
fof(f35347,plain,
! [X0] : ~ left(f(f(n3,n2),f(u,f(n3,X0))),b),
inference(superposition,[],[f23406,f253]) ).
fof(f253,plain,
! [X0] : f(u,f(n3,X0)) = f(u3,f(u,X0)),
inference(superposition,[],[f1,f9]) ).
fof(f23406,plain,
! [X0] : ~ left(f(f(n3,n2),f(u3,X0)),b),
inference(unit_resulting_resolution,[],[f265,f23341,f3]) ).
fof(f23341,plain,
~ left(f(f(n3,n2),u3),b),
inference(unit_resulting_resolution,[],[f12,f22599,f3]) ).
fof(f22599,plain,
left(a,f(f(n3,n2),u3)),
inference(superposition,[],[f21871,f10]) ).
fof(f10,axiom,
a = f(f(n3,n2),u2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f21871,plain,
! [X0] : left(f(X0,u2),f(X0,u3)),
inference(superposition,[],[f265,f21798]) ).
fof(f21798,plain,
u3 = f(u2,u1),
inference(forward_demodulation,[],[f21797,f9]) ).
fof(f21797,plain,
f(u,n3) = f(u2,u1),
inference(forward_demodulation,[],[f21762,f5]) ).
fof(f21762,plain,
f(u2,u1) = f(u,f(n2,n1)),
inference(superposition,[],[f261,f8]) ).
fof(f261,plain,
! [X0] : f(u,f(X0,n1)) = f(f(u,X0),u1),
inference(superposition,[],[f1,f7]) ).
fof(f12,axiom,
~ left(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LDA004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:58:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12135)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (12139)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (12138)WARNING: value z3 for option sas not known
% 0.14/0.37 % (12136)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (12137)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (12138)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)
% 0.14/0.37 % (12141)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)
% 0.14/0.37 % (12140)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)
% 0.14/0.37 % (12142)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [4]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [5]
% 0.14/0.39 TRYING [5]
% 0.21/0.42 TRYING [6]
% 0.21/0.44 TRYING [6]
% 0.21/0.50 TRYING [7]
% 0.21/0.51 TRYING [7]
% 2.04/0.63 TRYING [8]
% 2.04/0.63 TRYING [8]
% 3.75/0.87 TRYING [9]
% 4.03/0.91 TRYING [9]
% 6.26/1.29 TRYING [10]
% 7.26/1.41 TRYING [10]
% 7.94/1.48 TRYING [1]
% 7.94/1.48 TRYING [2]
% 7.94/1.48 TRYING [3]
% 7.94/1.48 TRYING [4]
% 7.94/1.49 TRYING [5]
% 8.15/1.52 TRYING [6]
% 8.36/1.58 TRYING [7]
% 9.49/1.73 TRYING [8]
% 11.06/1.97 TRYING [11]
% 11.57/2.02 TRYING [9]
% 12.29/2.10 TRYING [11]
% 15.28/2.59 TRYING [10]
% 18.73/3.06 TRYING [12]
% 18.73/3.08 TRYING [12]
% 20.11/3.21 % (12142)First to succeed.
% 20.11/3.22 % (12142)Refutation found. Thanks to Tanya!
% 20.11/3.22 % SZS status Unsatisfiable for theBenchmark
% 20.11/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 20.11/3.22 % (12142)------------------------------
% 20.11/3.22 % (12142)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 20.11/3.22 % (12142)Termination reason: Refutation
% 20.11/3.22
% 20.11/3.22 % (12142)Memory used [KB]: 34259
% 20.11/3.22 % (12142)Time elapsed: 2.842 s
% 20.11/3.22 % (12142)Instructions burned: 9563 (million)
% 20.11/3.22 % (12142)------------------------------
% 20.11/3.22 % (12142)------------------------------
% 20.11/3.22 % (12135)Success in time 2.806 s
%------------------------------------------------------------------------------