TSTP Solution File: COL032-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL032-1 : 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 : 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 : Wed Aug 31 15:51:43 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 11 ~; 5 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 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 : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f134,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
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(f134,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,apply(apply(q,X0),f(apply(apply(q,apply(q,X0)),m)))),apply(apply(apply(q,apply(q,X0)),m),f(apply(apply(q,apply(q,X0)),m)))),
inference(unit_resulting_resolution,[],[f10,f79,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ sQ0_eqProxy(X2,X3)
| sQ0_eqProxy(apply(X0,X2),apply(X1,X3))
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f79,plain,
! [X0] : ~ sQ0_eqProxy(apply(f(apply(apply(q,apply(q,X0)),m)),apply(X0,apply(apply(q,X0),f(apply(apply(q,apply(q,X0)),m))))),apply(f(apply(apply(q,apply(q,X0)),m)),apply(apply(apply(q,apply(q,X0)),m),f(apply(apply(q,apply(q,X0)),m))))),
inference(unit_resulting_resolution,[],[f6,f34,f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f34,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(apply(apply(q,X0),m))),apply(X0,f(apply(apply(q,X0),m)))),apply(f(apply(apply(q,X0),m)),apply(apply(apply(q,X0),m),f(apply(apply(q,X0),m))))),
inference(unit_resulting_resolution,[],[f7,f13,f12]) ).
fof(f13,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,apply(X1,f(apply(apply(q,X1),X0)))),apply(f(apply(apply(q,X1),X0)),apply(apply(apply(q,X1),X0),f(apply(apply(q,X1),X0))))),
inference(unit_resulting_resolution,[],[f6,f5,f12]) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f7,plain,
! [X0] : sQ0_eqProxy(apply(m,X0),apply(X0,X0)),
inference(equality_proxy_replacement,[],[f1,f4]) ).
fof(f1,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
fof(f10,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f6,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(q,X0),X1),X2),apply(X1,apply(X0,X2))),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(q,X0),X1),X2) = apply(X1,apply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33 % Computer : n023.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 17:15:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.54 % (17370)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 (2999ds/7Mi)
% 0.19/0.56 % (17370)Instruction limit reached!
% 0.19/0.56 % (17370)------------------------------
% 0.19/0.56 % (17370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17386)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.57 % (17378)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 (2999ds/321Mi)
% 0.19/0.57 % (17387)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)
% 0.19/0.57 % (17379)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)
% 0.19/0.57 % (17364)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.57 % (17369)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.57 % (17371)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.57 % (17378)Refutation not found, incomplete strategy% (17378)------------------------------
% 0.19/0.57 % (17378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (17378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (17378)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (17378)Memory used [KB]: 5373
% 0.19/0.57 % (17378)Time elapsed: 0.161 s
% 0.19/0.57 % (17378)Instructions burned: 1 (million)
% 0.19/0.57 % (17378)------------------------------
% 0.19/0.57 % (17378)------------------------------
% 0.19/0.58 % (17370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17370)Termination reason: Unknown
% 0.19/0.58 % (17370)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (17370)Memory used [KB]: 5628
% 0.19/0.58 % (17370)Time elapsed: 0.139 s
% 0.19/0.58 % (17370)Instructions burned: 7 (million)
% 0.19/0.58 % (17370)------------------------------
% 0.19/0.58 % (17370)------------------------------
% 0.19/0.58 % (17386)First to succeed.
% 0.19/0.58 % (17386)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (17386)------------------------------
% 0.19/0.58 % (17386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (17386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (17386)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (17386)Memory used [KB]: 5628
% 0.19/0.58 % (17386)Time elapsed: 0.162 s
% 0.19/0.58 % (17386)Instructions burned: 13 (million)
% 0.19/0.58 % (17386)------------------------------
% 0.19/0.58 % (17386)------------------------------
% 0.19/0.58 % (17363)Success in time 0.244 s
%------------------------------------------------------------------------------