TSTP Solution File: COL066-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n016.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 15:51:57 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(subsumption_resolution,[],[f40,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(q,X0),X1),X2) = apply(X1,apply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_definition) ).
fof(f40,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(q,apply(x,y)),apply(x,y)),z),
inference(forward_demodulation,[],[f39,f2]) ).
fof(f39,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(apply(q,x),apply(q,apply(x,y))),y),z),
inference(forward_demodulation,[],[f38,f2]) ).
fof(f38,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(apply(apply(q,q),apply(q,x)),apply(x,y)),y),z),
inference(forward_demodulation,[],[f37,f33]) ).
fof(f33,plain,
! [X3,X4,X5] : apply(apply(w,apply(apply(q,X3),X4)),X5) = apply(apply(X4,apply(X3,X5)),X5),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
fof(f37,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(w,apply(apply(q,x),apply(apply(q,q),apply(q,x)))),y),z),
inference(forward_demodulation,[],[f36,f29]) ).
fof(f29,plain,
! [X0,X1] : apply(apply(w,apply(q,X0)),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f36,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(w,apply(apply(w,apply(q,apply(q,q))),apply(q,x))),y),z),
inference(superposition,[],[f5,f3]) ).
fof(f5,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(apply(apply(w,apply(q,apply(q,q))),apply(q,x)),y),y),z),
inference(forward_demodulation,[],[f4,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f4,axiom,
apply(apply(apply(apply(apply(apply(b,apply(w,apply(q,apply(q,q)))),q),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 17:10:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (7500)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.48 % (7492)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.49 % (7500)First to succeed.
% 0.20/0.50 % (7500)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (7500)------------------------------
% 0.20/0.50 % (7500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (7500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (7500)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (7500)Memory used [KB]: 5500
% 0.20/0.50 % (7500)Time elapsed: 0.075 s
% 0.20/0.50 % (7500)Instructions burned: 3 (million)
% 0.20/0.50 % (7500)------------------------------
% 0.20/0.50 % (7500)------------------------------
% 0.20/0.50 % (7472)Success in time 0.153 s
%------------------------------------------------------------------------------