TSTP Solution File: COL011-1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n008.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 Jun 24 04:50:56 EDT 2024
% Result : Unsatisfiable 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 13 unt; 0 def)
% Number of atoms : 23 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f916,plain,
$false,
inference(unit_resulting_resolution,[],[f7,f6,f653,f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X0,X2) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f4,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f653,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(q1,apply(apply(apply(q1,apply(q1,combinator)),X1),X0))),
inference(unit_resulting_resolution,[],[f9,f248,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( sQ0_eqProxy(apply(X0,X2),apply(X1,X3))
| ~ sQ0_eqProxy(X2,X3)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f248,plain,
! [X2,X0,X1] : ~ sQ0_eqProxy(apply(apply(X0,X1),X2),apply(apply(q1,apply(apply(apply(q1,apply(q1,combinator)),X1),X0)),X2)),
inference(unit_resulting_resolution,[],[f6,f45,f8]) ).
fof(f45,plain,
! [X2,X0,X1] : ~ sQ0_eqProxy(apply(X0,apply(X1,X2)),apply(apply(apply(q1,combinator),X1),apply(apply(q1,X0),X2))),
inference(unit_resulting_resolution,[],[f6,f18,f11]) ).
fof(f18,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(q1,combinator),X1),X0)),
inference(unit_resulting_resolution,[],[f6,f12,f11]) ).
fof(f12,plain,
! [X1] : ~ sQ0_eqProxy(X1,apply(combinator,X1)),
inference(forward_literal_rewriting,[],[f5,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f5,plain,
! [X1] : ~ sQ0_eqProxy(apply(combinator,X1),X1),
inference(equality_proxy_replacement,[],[f3,f4]) ).
fof(f3,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f9,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(q1,X0),X1),X2),apply(X0,apply(X2,X1))),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(q1,X0),X1),X2) = apply(X0,apply(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f7,plain,
! [X0,X1] : sQ0_eqProxy(apply(apply(o,X0),X1),apply(X1,apply(X0,X1))),
inference(equality_proxy_replacement,[],[f1,f4]) ).
fof(f1,axiom,
! [X0,X1] : apply(apply(o,X0),X1) = apply(X1,apply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : COL011-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.14 % Command : run_vampire %s %d THM
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Jun 18 15:53:24 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.38 Running first-order theorem proving
% 0.14/0.38 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.43 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (25375)lrs+10_1:1024_sil=64000:i=305:to=lpo:drc=encompass:bd=off_0 on theBenchmark for (2999ds/305Mi)
% 0.23/0.43 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (25376)lrs+10_1:32_slsqr=1,2:drc=encompass:sil=2000:slsqc=1:slsq=on:i=729:slsql=off:fd=preordered:lwlo=on_0 on theBenchmark for (2999ds/729Mi)
% 0.23/0.44 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (25371)dis+10_1:28_drc=encompass:sil=256000:tgt=ground:i=146946:dpc=on:bs=on_0 on theBenchmark for (2999ds/146946Mi)
% 0.23/0.44 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (25373)lrs+10_1:1024_drc=encompass:sil=2000:i=149_0 on theBenchmark for (2999ds/149Mi)
% 0.23/0.44 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (25372)dis+10_1:64_sil=256000:i=105:bd=off:fd=off_0 on theBenchmark for (2999ds/105Mi)
% 0.23/0.44 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (25370)ott+10_1:36_drc=encompass:sil=256000:tgt=full:fde=none:st=5.0:i=276418:ss=axioms:sgt=16:sp=occurrence:plsq=on_0 on theBenchmark for (2999ds/276418Mi)
% 0.23/0.44 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (25374)lrs+10_1:1_sil=2000:sos=on:urr=on:st=5.0:i=149:ep=RSTC:ss=axioms:flr=on:fsr=off:br=off_0 on theBenchmark for (2999ds/149Mi)
% 0.23/0.47 % (25374)First to succeed.
% 0.23/0.47 % (25374)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25369"
% 0.23/0.47 % (25369)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47 % (25374)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.47 % (25374)------------------------------
% 0.23/0.47 % (25374)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.47 % (25374)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.47 % (25374)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (25374)Memory used [KB]: 1207
% 0.23/0.47 % (25374)Time elapsed: 0.029 s
% 0.23/0.47 % (25374)Instructions burned: 46 (million)
% 0.23/0.47 % (25374)------------------------------
% 0.23/0.47 % (25374)------------------------------
% 0.23/0.47 % (25369)Success in time 0.081 s
%------------------------------------------------------------------------------