TSTP Solution File: COL078-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL078-2 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Mon May 20 19:06:21 EDT 2024
% Result : Unsatisfiable 1.87s 0.57s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 15 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9945,plain,
$false,
inference(subsumption_resolution,[],[f9944,f8224]) ).
fof(f8224,plain,
! [X0,X1] : identity = apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X1),
inference(unit_resulting_resolution,[],[f6441,f10]) ).
fof(f10,plain,
! [X0] :
( n(X0,identity) != apply(X0,n(X0,identity))
| identity = X0 ),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : apply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_definition) ).
fof(f3,axiom,
! [X0,X1] :
( apply(X0,n(X0,X1)) != apply(X1,n(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
fof(f6441,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X2),X1) = X1,
inference(forward_demodulation,[],[f6226,f1]) ).
fof(f1,axiom,
! [X0,X1] : apply(k(X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_definition) ).
fof(f6226,plain,
! [X2,X0,X1] : apply(k(X1),apply(apply(X0,k(X1)),apply(X2,X1))) = apply(apply(apply(abstraction,apply(apply(abstraction,abstraction),X0)),X2),X1),
inference(superposition,[],[f236,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,k(X2)),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstraction) ).
fof(f236,plain,
! [X2,X0,X1] : apply(X0,apply(apply(X1,X0),X2)) = apply(apply(apply(apply(abstraction,abstraction),X1),X0),X2),
inference(superposition,[],[f37,f2]) ).
fof(f37,plain,
! [X2,X0,X1] : apply(apply(apply(abstraction,k(X0)),X2),X1) = apply(X0,apply(X2,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f9944,plain,
identity != apply(apply(abstraction,apply(apply(abstraction,abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity))))),n(apply(abstraction,apply(apply(abstraction,abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity))))),k(identity))),
inference(forward_demodulation,[],[f9943,f236]) ).
fof(f9943,plain,
identity != apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),n(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),k(identity))),
inference(forward_demodulation,[],[f9941,f1]) ).
fof(f9941,plain,
apply(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),n(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),k(identity))) != apply(k(identity),n(apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),k(identity))),
inference(unit_resulting_resolution,[],[f14,f3]) ).
fof(f14,plain,
k(identity) != apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,plain,
apply(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))) != apply(k(k(identity)),n(apply(apply(apply(abstraction,abstraction),abstraction),abstraction),k(k(identity)))),
inference(unit_resulting_resolution,[],[f5,f3]) ).
fof(f5,axiom,
apply(apply(apply(abstraction,abstraction),abstraction),abstraction) != k(k(identity)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_TRC1b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : COL078-2 : TPTP v8.2.0. Released v1.2.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n023.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % 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 : Sat May 18 13:04:38 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (6401)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31 % (6402)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.09/0.31 TRYING [3]
% 0.14/0.31 % (6404)WARNING: value z3 for option sas not known
% 0.14/0.31 % (6407)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)
% 0.14/0.31 % (6408)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)
% 0.14/0.31 % (6403)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.31 % (6406)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)
% 0.14/0.31 % (6404)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 % (6405)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.32 TRYING [4]
% 0.14/0.34 TRYING [5]
% 0.14/0.35 TRYING [5]
% 0.14/0.38 TRYING [6]
% 0.14/0.47 TRYING [7]
% 0.14/0.52 TRYING [6]
% 1.87/0.57 % (6408)First to succeed.
% 1.87/0.57 % (6408)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6401"
% 1.87/0.57 % (6408)Refutation found. Thanks to Tanya!
% 1.87/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.87/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.57 % (6408)------------------------------
% 1.87/0.57 % (6408)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.87/0.57 % (6408)Termination reason: Refutation
% 1.87/0.57
% 1.87/0.57 % (6408)Memory used [KB]: 2927
% 1.87/0.57 % (6408)Time elapsed: 0.256 s
% 1.87/0.57 % (6408)Instructions burned: 617 (million)
% 1.87/0.57 % (6401)Success in time 0.271 s
%------------------------------------------------------------------------------