TSTP Solution File: COL066-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL066-2 : 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 : n009.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 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f106,plain,
$false,
inference(subsumption_resolution,[],[f105,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(q,X0),X1),X2) = apply(X1,apply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_definition) ).
fof(f105,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(q,apply(x,y)),apply(x,y)),z),
inference(forward_demodulation,[],[f104,f2]) ).
fof(f104,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,[],[f103,f2]) ).
fof(f103,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,[],[f75,f2]) ).
fof(f75,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(apply(apply(q,x),apply(apply(q,q),apply(q,x))),y),y),z),
inference(backward_demodulation,[],[f24,f27]) ).
fof(f27,plain,
! [X0,X1] : apply(apply(w,apply(q,X0)),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
fof(f24,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(backward_demodulation,[],[f4,f2]) ).
fof(f4,axiom,
apply(apply(apply(apply(apply(apply(q,q),apply(w,apply(q,apply(q,q)))),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL066-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:45:05 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (4207)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.53 % (4199)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.54 % (4191)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.55 % (4199)First to succeed.
% 0.20/0.55 % (4190)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (4199)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (4199)------------------------------
% 0.20/0.55 % (4199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (4199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (4199)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (4199)Memory used [KB]: 5628
% 0.20/0.55 % (4199)Time elapsed: 0.045 s
% 0.20/0.55 % (4199)Instructions burned: 8 (million)
% 0.20/0.55 % (4199)------------------------------
% 0.20/0.55 % (4199)------------------------------
% 0.20/0.55 % (4183)Success in time 0.202 s
%------------------------------------------------------------------------------