TSTP Solution File: COL030-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n011.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 15:51:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% 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 : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,plain,
$false,
inference(unit_resulting_resolution,[],[f5,f39,f11]) ).
fof(f11,plain,
! [X0,X1] :
( sQ0_eqProxy(X1,X0)
| ~ sQ0_eqProxy(X0,X1) ),
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(f39,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(apply(apply(s,l),X0))),apply(X0,f(apply(apply(s,l),X0)))),apply(apply(apply(s,l),X0),f(apply(apply(s,l),X0)))),
inference(unit_resulting_resolution,[],[f10,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(f27,plain,
! [X0] : ~ sQ0_eqProxy(apply(f(apply(apply(s,l),X0)),apply(apply(X0,f(apply(apply(s,l),X0))),apply(X0,f(apply(apply(s,l),X0))))),apply(f(apply(apply(s,l),X0)),apply(apply(apply(s,l),X0),f(apply(apply(s,l),X0))))),
inference(unit_resulting_resolution,[],[f7,f13,f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1)
| ~ sQ0_eqProxy(X1,X2) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f13,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(apply(X0,f(apply(apply(s,X0),X1))),apply(X1,f(apply(apply(s,X0),X1)))),apply(f(apply(apply(s,X0),X1)),apply(apply(apply(s,X0),X1),f(apply(apply(s,X0),X1))))),
inference(unit_resulting_resolution,[],[f5,f6,f12]) ).
fof(f6,plain,
! [X1] : ~ sQ0_eqProxy(apply(X1,f(X1)),apply(f(X1),apply(X1,f(X1)))),
inference(equality_proxy_replacement,[],[f3,f4]) ).
fof(f3,axiom,
! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f7,plain,
! [X0,X1] : sQ0_eqProxy(apply(apply(l,X0),X1),apply(X0,apply(X1,X1))),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(l,X0),X1) = apply(X0,apply(X1,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l_definition) ).
fof(f10,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f5,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(s,X0),X1),X2),apply(apply(X0,X2),apply(X1,X2))),
inference(equality_proxy_replacement,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL030-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n011.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 16:54:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (30589)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.20/0.51 % (30581)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/321Mi)
% 0.20/0.51 % (30581)Refutation not found, incomplete strategy% (30581)------------------------------
% 0.20/0.51 % (30581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (30581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (30589)First to succeed.
% 0.20/0.51 % (30581)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (30581)Memory used [KB]: 5373
% 0.20/0.51 % (30581)Time elapsed: 0.060 s
% 0.20/0.51 % (30581)Instructions burned: 1 (million)
% 0.20/0.51 % (30581)------------------------------
% 0.20/0.51 % (30581)------------------------------
% 0.20/0.52 % (30573)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 % (30589)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (30589)------------------------------
% 0.20/0.52 % (30589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30589)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (30589)Memory used [KB]: 5500
% 0.20/0.52 % (30589)Time elapsed: 0.064 s
% 0.20/0.52 % (30589)Instructions burned: 3 (million)
% 0.20/0.52 % (30589)------------------------------
% 0.20/0.52 % (30589)------------------------------
% 0.20/0.52 % (30566)Success in time 0.161 s
%------------------------------------------------------------------------------