TSTP Solution File: COL062-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL062-3 : 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_sat --cores 0 -t %d %s
% Computer : n026.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 15:52:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 3 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(subsumption_resolution,[],[f46,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(apply(t,X1),apply(b,X0)),X2),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
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(f46,plain,
apply(apply(apply(t,x),apply(b,apply(t,y))),z) != apply(apply(t,y),apply(x,z)),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f45,plain,
apply(apply(apply(t,x),apply(apply(apply(b,b),t),y)),z) != apply(apply(t,y),apply(x,z)),
inference(forward_demodulation,[],[f44,f13]) ).
fof(f44,plain,
apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(t,x))),y),z) != apply(apply(t,y),apply(x,z)),
inference(forward_demodulation,[],[f34,f13]) ).
fof(f34,plain,
apply(apply(apply(apply(apply(t,b),apply(b,apply(t,apply(apply(b,b),t)))),apply(t,x)),y),z) != apply(apply(t,y),apply(x,z)),
inference(backward_demodulation,[],[f8,f13]) ).
fof(f8,plain,
apply(apply(t,y),apply(x,z)) != apply(apply(apply(apply(apply(t,t),apply(b,apply(apply(t,b),apply(b,apply(t,apply(apply(b,b),t)))))),x),y),z),
inference(forward_demodulation,[],[f7,f2]) ).
fof(f7,plain,
apply(apply(x,z),y) != apply(apply(apply(apply(apply(t,t),apply(b,apply(apply(t,b),apply(b,apply(t,apply(apply(b,b),t)))))),x),y),z),
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
apply(apply(x,z),y) != apply(apply(apply(apply(apply(b,apply(apply(t,b),apply(b,apply(t,apply(apply(b,b),t))))),t),x),y),z),
inference(backward_demodulation,[],[f3,f2]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),t))),b)),t),x),y),z) != apply(apply(x,z),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL062-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 16:59:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (19272)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.51 % (19259)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (19269)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51 % (19261)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (19258)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (19264)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 % (19253)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (19260)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52 % (19269)First to succeed.
% 0.21/0.52 % (19261)Also succeeded, but the first one will report.
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.53 % (19269)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (19269)------------------------------
% 0.21/0.53 % (19269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (19269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (19269)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (19269)Memory used [KB]: 1023
% 0.21/0.53 % (19269)Time elapsed: 0.066 s
% 0.21/0.53 % (19269)Instructions burned: 6 (million)
% 0.21/0.53 % (19269)------------------------------
% 0.21/0.53 % (19269)------------------------------
% 0.21/0.53 % (19246)Success in time 0.168 s
%------------------------------------------------------------------------------