TSTP Solution File: COL066-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL066-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 : Sun May 5 04:45:47 EDT 2024
% Result : Unsatisfiable 0.14s 0.34s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f290,plain,
$false,
inference(trivial_inequality_removal,[],[f289]) ).
fof(f289,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(x,y),apply(apply(x,y),z)),
inference(superposition,[],[f288,f25]) ).
fof(f25,plain,
! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,q),X0),X1),
inference(superposition,[],[f2,f3]) ).
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(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(f288,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(w,q),apply(x,y)),z),
inference(forward_demodulation,[],[f287,f3]) ).
fof(f287,plain,
apply(apply(x,y),apply(apply(x,y),z)) != apply(apply(apply(q,apply(x,y)),apply(x,y)),z),
inference(forward_demodulation,[],[f286,f2]) ).
fof(f286,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,[],[f285,f2]) ).
fof(f285,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,[],[f284,f30]) ).
fof(f30,plain,
! [X2,X0,X1] : apply(apply(w,apply(apply(q,X0),X1)),X2) = apply(apply(X1,apply(X0,X2)),X2),
inference(superposition,[],[f3,f2]) ).
fof(f284,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(superposition,[],[f6,f26]) ).
fof(f26,plain,
! [X0,X1] : apply(apply(w,apply(q,X0)),X1) = apply(X1,apply(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f6,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(forward_demodulation,[],[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(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/sandbox/benchmark/theBenchmark.p',prove_p_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : COL066-2 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:26:07 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (22615)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (22616)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (22618)WARNING: value z3 for option sas not known
% 0.14/0.31 % (22619)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.31 % (22617)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (22618)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)
% 0.14/0.32 TRYING [3]
% 0.14/0.32 % (22621)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)
% 0.14/0.32 % (22620)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)
% 0.14/0.32 % (22622)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.33 TRYING [4]
% 0.14/0.33 TRYING [4]
% 0.14/0.34 % (22621)First to succeed.
% 0.14/0.34 % (22621)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22615"
% 0.14/0.34 % (22621)Refutation found. Thanks to Tanya!
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.34 % (22621)------------------------------
% 0.14/0.34 % (22621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.34 % (22621)Termination reason: Refutation
% 0.14/0.34
% 0.14/0.34 % (22621)Memory used [KB]: 1137
% 0.14/0.34 % (22621)Time elapsed: 0.025 s
% 0.14/0.34 % (22621)Instructions burned: 48 (million)
% 0.14/0.34 % (22615)Success in time 0.038 s
%------------------------------------------------------------------------------