TSTP Solution File: COL070-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL070-1 : TPTP v8.1.0. Released 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 : n025.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 15:51:58 EDT 2022
% Result : Unsatisfiable 1.30s 0.51s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 21 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f217,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f6,f27,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ sQ0_eqProxy(X2,X3)
| ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(apply(X0,X2),apply(X1,X3)) ),
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(f27,plain,
! [X2,X0,X1] : ~ sQ0_eqProxy(apply(apply(apply(X0,X1),X1),X2),apply(apply(apply(b,combinator),apply(apply(n1,X0),X1)),X2)),
inference(unit_resulting_resolution,[],[f5,f22,f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f22,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(b,combinator),X0),X1)),
inference(unit_resulting_resolution,[],[f6,f17,f11]) ).
fof(f17,plain,
! [X0] : ~ sQ0_eqProxy(X0,apply(combinator,X0)),
inference(unit_resulting_resolution,[],[f7,f10]) ).
fof(f10,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f7,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',prove_fixed_point) ).
fof(f5,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(n1,X0),X1),X2),apply(apply(apply(X0,X1),X1),X2)),
inference(equality_proxy_replacement,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(n1,X0),X1),X2) = apply(apply(apply(X0,X1),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n1_definition) ).
fof(f6,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(b,X0),X1),X2),apply(X0,apply(X1,X2))),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,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(f9,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : COL070-1 : TPTP v8.1.0. Released v1.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 16:56:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (24693)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.48 % (24686)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.49 % (24694)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (24710)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)
% 0.19/0.50 % (24701)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)
% 1.30/0.51 % (24687)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.30/0.51 % (24693)First to succeed.
% 1.30/0.51 % (24693)Refutation found. Thanks to Tanya!
% 1.30/0.51 % SZS status Unsatisfiable for theBenchmark
% 1.30/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.51 % (24693)------------------------------
% 1.30/0.51 % (24693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51 % (24693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51 % (24693)Termination reason: Refutation
% 1.30/0.51
% 1.30/0.51 % (24693)Memory used [KB]: 5628
% 1.30/0.51 % (24693)Time elapsed: 0.104 s
% 1.30/0.51 % (24693)Instructions burned: 13 (million)
% 1.30/0.51 % (24693)------------------------------
% 1.30/0.51 % (24693)------------------------------
% 1.30/0.51 % (24685)Success in time 0.173 s
%------------------------------------------------------------------------------