TSTP Solution File: COL044-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL044-1 : 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 : n018.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 15:51:48 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 13 unt; 0 def)
% Number of atoms : 21 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 11 ~; 4 |; 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; 2 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f920,plain,
$false,
inference(unit_resulting_resolution,[],[f10,f6,f69,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(f4,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f69,plain,
! [X2,X0,X1] : ~ sQ0_eqProxy(apply(apply(apply(X0,X1),X2),X1),apply(apply(apply(b,apply(n,b)),apply(apply(n,X0),X2)),X1)),
inference(unit_resulting_resolution,[],[f5,f62,f12]) ).
fof(f12,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X0,X2) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f62,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(b,apply(n,b)),X0),X1)),
inference(unit_resulting_resolution,[],[f6,f50,f12]) ).
fof(f50,plain,
! [X0] : ~ sQ0_eqProxy(X0,apply(apply(n,b),X0)),
inference(unit_resulting_resolution,[],[f10,f25,f8]) ).
fof(f25,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(apply(n,b),X0),f(X0))),
inference(unit_resulting_resolution,[],[f5,f17,f12]) ).
fof(f17,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(apply(b,f(X0)),X0),f(X0))),
inference(unit_resulting_resolution,[],[f6,f7,f12]) ).
fof(f7,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(f5,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(n,X0),X1),X2),apply(apply(apply(X0,X2),X1),X2)),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_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,[],[f1,f4]) ).
fof(f1,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(f10,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL044-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:46:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.43 % (15370)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.46 % (15396)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.20/0.47 % (15387)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.50 % (15378)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (15371)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)
% 0.20/0.50 % (15367)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)
% 0.20/0.51 % (15366)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.51 % (15377)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (15397)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.51 % (15369)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (15384)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.20/0.52 % (15369)Instruction limit reached!
% 0.20/0.52 % (15369)------------------------------
% 0.20/0.52 % (15369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15369)Termination reason: Unknown
% 0.20/0.52 % (15369)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15369)Memory used [KB]: 5500
% 0.20/0.52 % (15369)Time elapsed: 0.121 s
% 0.20/0.52 % (15369)Instructions burned: 8 (million)
% 0.20/0.52 % (15369)------------------------------
% 0.20/0.52 % (15369)------------------------------
% 0.20/0.52 % (15380)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.52 % (15379)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.20/0.52 % (15367)Instruction limit reached!
% 0.20/0.52 % (15367)------------------------------
% 0.20/0.52 % (15367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15376)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52 % (15391)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)
% 0.20/0.52 % (15383)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (15385)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (15367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15367)Termination reason: Unknown
% 0.20/0.52 % (15367)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15367)Memory used [KB]: 5500
% 0.20/0.52 % (15367)Time elapsed: 0.109 s
% 0.20/0.52 % (15367)Instructions burned: 11 (million)
% 0.20/0.52 % (15367)------------------------------
% 0.20/0.52 % (15367)------------------------------
% 0.20/0.53 % (15370)Instruction limit reached!
% 0.20/0.53 % (15370)------------------------------
% 0.20/0.53 % (15370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15370)Termination reason: Unknown
% 0.20/0.53 % (15370)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (15370)Memory used [KB]: 6524
% 0.20/0.53 % (15370)Time elapsed: 0.126 s
% 0.20/0.53 % (15370)Instructions burned: 48 (million)
% 0.20/0.53 % (15370)------------------------------
% 0.20/0.53 % (15370)------------------------------
% 0.20/0.53 % (15392)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.53 % (15372)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)
% 0.20/0.53 % (15393)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53 % (15372)Instruction limit reached!
% 0.20/0.53 % (15372)------------------------------
% 0.20/0.53 % (15372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (15372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (15372)Termination reason: Unknown
% 0.20/0.53 % (15372)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (15372)Memory used [KB]: 5628
% 0.20/0.53 % (15372)Time elapsed: 0.130 s
% 0.20/0.53 % (15372)Instructions burned: 9 (million)
% 0.20/0.53 % (15372)------------------------------
% 0.20/0.53 % (15372)------------------------------
% 0.20/0.53 % (15386)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.53 % (15368)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (15388)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.20/0.53 % (15373)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54 % (15389)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)
% 0.20/0.54 % (15374)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)
% 0.20/0.54 % (15382)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)
% 0.20/0.54 % (15394)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.20/0.55 % (15381)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)
% 0.20/0.55 % (15371)Instruction limit reached!
% 0.20/0.55 % (15371)------------------------------
% 0.20/0.55 % (15371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15371)Termination reason: Unknown
% 0.20/0.55 % (15371)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (15371)Memory used [KB]: 5756
% 0.20/0.55 % (15371)Time elapsed: 0.117 s
% 0.20/0.55 % (15371)Instructions burned: 20 (million)
% 0.20/0.55 % (15371)------------------------------
% 0.20/0.55 % (15371)------------------------------
% 0.20/0.55 % (15381)Refutation not found, incomplete strategy% (15381)------------------------------
% 0.20/0.55 % (15381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15395)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.55 % (15396)First to succeed.
% 0.20/0.55 % (15381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15381)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (15381)Memory used [KB]: 5373
% 0.20/0.55 % (15381)Time elapsed: 0.152 s
% 0.20/0.55 % (15381)------------------------------
% 0.20/0.55 % (15381)------------------------------
% 0.20/0.56 % (15396)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (15396)------------------------------
% 0.20/0.56 % (15396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (15396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (15396)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (15396)Memory used [KB]: 6140
% 0.20/0.56 % (15396)Time elapsed: 0.154 s
% 0.20/0.56 % (15396)Instructions burned: 48 (million)
% 0.20/0.56 % (15396)------------------------------
% 0.20/0.56 % (15396)------------------------------
% 0.20/0.56 % (15364)Success in time 0.202 s
%------------------------------------------------------------------------------