TSTP Solution File: LDA001-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 17:50:25 EDT 2022
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f84,f14]) ).
fof(f14,plain,
! [X1] : f(n1,f(n1,X1)) = f(n3,f(n2,X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f6,plain,
! [X0] : f(n1,f(n1,X0)) = f(n2,f(n1,X0)),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
n2 = f(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
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(f7,plain,
! [X1] : f(n3,f(n2,X1)) = f(n2,f(n1,X1)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
n3 = f(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f84,plain,
f(n1,f(n1,n3)) != f(n3,f(n2,n3)),
inference(backward_demodulation,[],[f42,f82]) ).
fof(f82,plain,
! [X0] : f(f(n3,X0),u) = f(n3,f(X0,n3)),
inference(superposition,[],[f1,f64]) ).
fof(f64,plain,
u = f(n3,n3),
inference(forward_demodulation,[],[f63,f18]) ).
fof(f18,plain,
u = f(n1,n2),
inference(forward_demodulation,[],[f15,f4]) ).
fof(f4,axiom,
u = f(n2,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f15,plain,
f(n2,n2) = f(n1,n2),
inference(superposition,[],[f6,f2]) ).
fof(f63,plain,
f(n1,n2) = f(n3,n3),
inference(forward_demodulation,[],[f62,f2]) ).
fof(f62,plain,
f(n3,n3) = f(n1,f(n1,n1)),
inference(forward_demodulation,[],[f56,f6]) ).
fof(f56,plain,
f(n3,n3) = f(n2,f(n1,n1)),
inference(superposition,[],[f11,f3]) ).
fof(f11,plain,
! [X1] : f(n2,f(X1,n1)) = f(f(n2,X1),n3),
inference(superposition,[],[f1,f3]) ).
fof(f42,plain,
f(f(n3,n2),u) != f(n1,f(n1,n3)),
inference(forward_demodulation,[],[f41,f6]) ).
fof(f41,plain,
f(f(n3,n2),u) != f(n2,f(n1,n3)),
inference(backward_demodulation,[],[f25,f40]) ).
fof(f40,plain,
f(n1,n3) = f(u,n2),
inference(forward_demodulation,[],[f36,f3]) ).
fof(f36,plain,
f(u,n2) = f(n1,f(n2,n1)),
inference(superposition,[],[f10,f18]) ).
fof(f10,plain,
! [X0] : f(n1,f(X0,n1)) = f(f(n1,X0),n2),
inference(superposition,[],[f1,f2]) ).
fof(f25,plain,
f(f(n3,n2),u) != f(n2,f(u,n2)),
inference(forward_demodulation,[],[f24,f12]) ).
fof(f12,plain,
! [X2] : f(f(n2,X2),u) = f(n2,f(X2,n2)),
inference(superposition,[],[f1,f4]) ).
fof(f24,plain,
f(f(n3,n2),u) != f(f(n2,u),u),
inference(backward_demodulation,[],[f5,f20]) ).
fof(f20,plain,
f(u,u) = f(n2,u),
inference(superposition,[],[f8,f4]) ).
fof(f8,plain,
! [X2] : f(u,f(n2,X2)) = f(n2,f(n2,X2)),
inference(superposition,[],[f1,f4]) ).
fof(f5,axiom,
f(f(n3,n2),u) != f(f(u,u),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LDA001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n014.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 Aug 30 03:01:18 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.51 % (24253)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.51 % (24261)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.22/0.52 % (24250)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.22/0.52 % (24253)First to succeed.
% 0.22/0.52 % (24273)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.22/0.53 % (24262)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.22/0.53 % (24253)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (24253)------------------------------
% 0.22/0.53 % (24253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.53 % (24253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.53 % (24253)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (24253)Memory used [KB]: 5500
% 0.22/0.53 % (24253)Time elapsed: 0.099 s
% 0.22/0.53 % (24253)Instructions burned: 5 (million)
% 0.22/0.53 % (24253)------------------------------
% 0.22/0.53 % (24253)------------------------------
% 0.22/0.53 % (24246)Success in time 0.16 s
%------------------------------------------------------------------------------