TSTP Solution File: COL066-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL066-1 : 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 : n017.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 15:51:57 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 16 unt; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 14 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f437,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f8,f427,f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f427,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(apply(q,apply(q,q)),apply(q,f(X0))),apply(q,f(X0)))),
inference(unit_resulting_resolution,[],[f6,f409,f16]) ).
fof(f409,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(q,f(X0)),apply(apply(q,q),apply(q,f(X0))))),
inference(unit_resulting_resolution,[],[f14,f313,f10]) ).
fof(f10,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,[],[f5]) ).
fof(f313,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(apply(q,f(X0)),apply(apply(q,q),apply(q,f(X0)))),g(X0))),
inference(unit_resulting_resolution,[],[f6,f214,f16]) ).
fof(f214,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(apply(q,q),apply(q,f(X0))),apply(f(X0),g(X0)))),
inference(unit_resulting_resolution,[],[f6,f133,f16]) ).
fof(f133,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(q,f(X0)),apply(q,apply(f(X0),g(X0))))),
inference(unit_resulting_resolution,[],[f14,f33,f10]) ).
fof(f33,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(X0,f(X0)),g(X0)),g(X0)),apply(apply(apply(q,f(X0)),apply(q,apply(f(X0),g(X0)))),g(X0))),
inference(unit_resulting_resolution,[],[f6,f23,f16]) ).
fof(f23,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(X0,f(X0)),g(X0)),g(X0)),apply(apply(q,apply(f(X0),g(X0))),apply(f(X0),g(X0)))),
inference(unit_resulting_resolution,[],[f14,f18,f10]) ).
fof(f18,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(apply(X0,f(X0)),g(X0)),g(X0)),h(X0)),apply(apply(apply(q,apply(f(X0),g(X0))),apply(f(X0),g(X0))),h(X0))),
inference(unit_resulting_resolution,[],[f6,f9,f16]) ).
fof(f9,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(apply(X0,f(X0)),g(X0)),g(X0)),h(X0)),apply(apply(f(X0),g(X0)),apply(apply(f(X0),g(X0)),h(X0)))),
inference(equality_proxy_replacement,[],[f4,f5]) ).
fof(f4,axiom,
! [X0] : apply(apply(apply(apply(X0,f(X0)),g(X0)),g(X0)),h(X0)) != apply(apply(f(X0),g(X0)),apply(apply(f(X0),g(X0)),h(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_combinator) ).
fof(f14,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f8,plain,
! [X0,X1] : sQ0_eqProxy(apply(apply(w,X0),X1),apply(apply(X0,X1),X1)),
inference(equality_proxy_replacement,[],[f3,f5]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_definition) ).
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,f5]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(q,X0),X1),X2) = apply(X1,apply(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : COL066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % 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 : n017.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 16:11:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (24067)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)
% 0.19/0.50 % (24082)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)
% 0.19/0.51 % (24074)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)
% 0.19/0.52 % (24086)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)
% 0.19/0.52 % (24071)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)
% 0.19/0.52 % (24063)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52 % (24075)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)
% 0.19/0.52 % (24065)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)
% 0.19/0.52 % (24085)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)
% 0.19/0.52 % (24066)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)
% 0.19/0.52 % (24068)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)
% 0.19/0.52 % (24089)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)
% 0.19/0.52 % (24066)Instruction limit reached!
% 0.19/0.52 % (24066)------------------------------
% 0.19/0.52 % (24066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (24066)Termination reason: Unknown
% 0.19/0.52 % (24066)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (24066)Memory used [KB]: 5628
% 0.19/0.52 % (24066)Time elapsed: 0.131 s
% 0.19/0.52 % (24066)Instructions burned: 6 (million)
% 0.19/0.52 % (24066)------------------------------
% 0.19/0.52 % (24066)------------------------------
% 0.19/0.52 % (24078)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)
% 0.19/0.53 % (24064)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)
% 0.19/0.53 % (24079)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)
% 0.19/0.53 % (24090)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)
% 0.19/0.53 % (24077)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)
% 0.19/0.53 % (24077)Refutation not found, incomplete strategy% (24077)------------------------------
% 0.19/0.53 % (24077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24077)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (24077)Memory used [KB]: 5373
% 0.19/0.53 % (24077)Time elapsed: 0.089 s
% 0.19/0.53 % (24077)------------------------------
% 0.19/0.53 % (24077)------------------------------
% 0.19/0.53 % (24088)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)
% 0.19/0.53 % (24092)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)
% 0.19/0.53 % (24064)Instruction limit reached!
% 0.19/0.53 % (24064)------------------------------
% 0.19/0.53 % (24064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24064)Termination reason: Unknown
% 0.19/0.53 % (24064)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24064)Memory used [KB]: 5500
% 0.19/0.53 % (24064)Time elapsed: 0.130 s
% 0.19/0.53 % (24064)Instructions burned: 10 (million)
% 0.19/0.53 % (24064)------------------------------
% 0.19/0.53 % (24064)------------------------------
% 0.19/0.53 % (24080)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)
% 0.19/0.53 % (24070)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.53 % (24072)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)
% 0.19/0.54 % (24091)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)
% 0.19/0.54 % (24081)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)
% 0.19/0.54 % (24087)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)
% 0.19/0.54 % (24084)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)
% 0.19/0.54 % (24083)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.54 % (24069)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)
% 0.19/0.54 % (24073)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)
% 0.19/0.54 % (24069)Instruction limit reached!
% 0.19/0.54 % (24069)------------------------------
% 0.19/0.54 % (24069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24069)Termination reason: Unknown
% 0.19/0.54 % (24069)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24069)Memory used [KB]: 5628
% 0.19/0.54 % (24069)Time elapsed: 0.106 s
% 0.19/0.54 % (24069)Instructions burned: 8 (million)
% 0.19/0.54 % (24069)------------------------------
% 0.19/0.54 % (24069)------------------------------
% 0.19/0.54 % (24076)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)
% 0.19/0.55 % (24068)Instruction limit reached!
% 0.19/0.55 % (24068)------------------------------
% 0.19/0.55 % (24068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24068)Termination reason: Unknown
% 0.19/0.55 % (24068)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24068)Memory used [KB]: 5628
% 0.19/0.55 % (24068)Time elapsed: 0.159 s
% 0.19/0.55 % (24068)Instructions burned: 20 (million)
% 0.19/0.55 % (24068)------------------------------
% 0.19/0.55 % (24068)------------------------------
% 0.19/0.57 % (24067)Instruction limit reached!
% 0.19/0.57 % (24067)------------------------------
% 0.19/0.57 % (24067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24067)Termination reason: Unknown
% 0.19/0.57 % (24067)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (24067)Memory used [KB]: 6652
% 0.19/0.57 % (24067)Time elapsed: 0.161 s
% 0.19/0.57 % (24067)Instructions burned: 48 (million)
% 0.19/0.57 % (24067)------------------------------
% 0.19/0.57 % (24067)------------------------------
% 0.19/0.57 % (24072)First to succeed.
% 0.19/0.57 % (24072)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (24072)------------------------------
% 0.19/0.57 % (24072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (24072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (24072)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (24072)Memory used [KB]: 5628
% 0.19/0.57 % (24072)Time elapsed: 0.159 s
% 0.19/0.57 % (24072)Instructions burned: 21 (million)
% 0.19/0.57 % (24072)------------------------------
% 0.19/0.57 % (24072)------------------------------
% 0.19/0.57 % (24062)Success in time 0.217 s
%------------------------------------------------------------------------------