TSTP Solution File: COL034-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL034-1 : 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 : n014.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 15:51:44 EDT 2022
% Result : Unsatisfiable 1.89s 0.60s
% Output : Refutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f636,plain,
$false,
inference(equality_resolution,[],[f626]) ).
fof(f626,plain,
! [X218] : apply(X218,apply(apply(b,f(apply(apply(b,X218),apply(apply(b,apply(t,X218)),b)))),X218)) != apply(m,apply(apply(b,f(apply(apply(b,X218),apply(apply(b,apply(t,X218)),b)))),X218)),
inference(superposition,[],[f173,f51]) ).
fof(f51,plain,
! [X2,X3] : apply(X2,apply(X3,apply(apply(b,X2),X3))) = apply(m,apply(apply(b,X2),X3)),
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f173,plain,
! [X10,X8,X9] : apply(X10,apply(apply(X9,f(apply(apply(b,X10),apply(apply(b,apply(t,X8)),X9)))),X8)) != apply(f(apply(apply(b,X10),apply(apply(b,apply(t,X8)),X9))),apply(X10,apply(apply(X9,f(apply(apply(b,X10),apply(apply(b,apply(t,X8)),X9)))),X8))),
inference(superposition,[],[f59,f3]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f59,plain,
! [X6,X4,X5] : apply(f(apply(apply(b,X6),apply(apply(b,X4),X5))),apply(X6,apply(X4,apply(X5,f(apply(apply(b,X6),apply(apply(b,X4),X5))))))) != apply(X6,apply(X4,apply(X5,f(apply(apply(b,X6),apply(apply(b,X4),X5)))))),
inference(superposition,[],[f52,f1]) ).
fof(f52,plain,
! [X0,X1] : apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))) != apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COL034-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 17:10:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 % (10376)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 (3000ds/10Mi)
% 0.19/0.44 % (10376)Instruction limit reached!
% 0.19/0.44 % (10376)------------------------------
% 0.19/0.44 % (10376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47 % (10376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47 % (10376)Termination reason: Unknown
% 0.19/0.47 % (10376)Termination phase: Saturation
% 0.19/0.47
% 0.19/0.47 % (10376)Memory used [KB]: 5500
% 0.19/0.47 % (10376)Time elapsed: 0.070 s
% 0.19/0.47 % (10376)Instructions burned: 10 (million)
% 0.19/0.47 % (10376)------------------------------
% 0.19/0.47 % (10376)------------------------------
% 0.19/0.47 % (10385)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 (3000ds/37Mi)
% 0.19/0.49 % (10393)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 (3000ds/439Mi)
% 0.19/0.49 % (10395)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 (3000ds/103Mi)
% 0.19/0.49 % (10380)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/20Mi)
% 0.19/0.50 % (10378)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 (3000ds/6Mi)
% 0.19/0.50 % (10388)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 (3000ds/353Mi)
% 0.19/0.50 % (10377)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 (3000ds/37Mi)
% 0.19/0.51 % (10383)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 (3000ds/37Mi)
% 0.19/0.51 % (10397)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/481Mi)
% 0.19/0.51 % (10399)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 (3000ds/111Mi)
% 0.19/0.51 % (10390)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 (3000ds/212Mi)
% 0.19/0.51 % (10384)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 (3000ds/46Mi)
% 0.19/0.51 % (10403)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 (3000ds/495Mi)
% 0.19/0.51 % (10379)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 (3000ds/48Mi)
% 0.19/0.52 % (10398)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)
% 0.19/0.52 % (10381)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)
% 0.19/0.52 % (10392)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 (3000ds/257Mi)
% 0.19/0.52 % (10401)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 (3000ds/177Mi)
% 0.19/0.52 % (10375)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.52 % (10389)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)
% 0.19/0.52 % (10378)Instruction limit reached!
% 0.19/0.52 % (10378)------------------------------
% 0.19/0.52 % (10378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10400)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 (3000ds/248Mi)
% 0.19/0.52 % (10380)Instruction limit reached!
% 0.19/0.52 % (10380)------------------------------
% 0.19/0.52 % (10380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10380)Termination reason: Unknown
% 0.19/0.52 % (10380)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (10380)Memory used [KB]: 5628
% 0.19/0.52 % (10380)Time elapsed: 0.126 s
% 0.19/0.52 % (10380)Instructions burned: 21 (million)
% 0.19/0.52 % (10380)------------------------------
% 0.19/0.52 % (10380)------------------------------
% 0.19/0.52 % (10381)Instruction limit reached!
% 0.19/0.52 % (10381)------------------------------
% 0.19/0.52 % (10381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10381)Termination reason: Unknown
% 0.19/0.52 % (10381)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (10381)Memory used [KB]: 5628
% 0.19/0.52 % (10381)Time elapsed: 0.131 s
% 0.19/0.52 % (10381)Instructions burned: 9 (million)
% 0.19/0.52 % (10381)------------------------------
% 0.19/0.52 % (10381)------------------------------
% 0.19/0.53 % (10387)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 (3000ds/292Mi)
% 0.19/0.53 % (10382)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.19/0.53 % (10396)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.19/0.53 % (10378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (10378)Termination reason: Unknown
% 0.19/0.53 % (10378)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (10378)Memory used [KB]: 5500
% 0.19/0.53 % (10378)Time elapsed: 0.109 s
% 0.19/0.53 % (10378)Instructions burned: 6 (million)
% 0.19/0.53 % (10378)------------------------------
% 0.19/0.53 % (10378)------------------------------
% 0.19/0.53 % (10391)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 (3000ds/48Mi)
% 0.19/0.53 % (10405)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 (3000ds/48Mi)
% 0.19/0.53 % (10402)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 (3000ds/267Mi)
% 0.19/0.53 % (10404)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 (3000ds/381Mi)
% 0.19/0.54 % (10386)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 (3000ds/48Mi)
% 0.19/0.54 % (10385)Instruction limit reached!
% 0.19/0.54 % (10385)------------------------------
% 0.19/0.54 % (10385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (10385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (10385)Termination reason: Unknown
% 0.19/0.54 % (10385)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (10385)Memory used [KB]: 6268
% 0.19/0.54 % (10385)Time elapsed: 0.153 s
% 0.19/0.54 % (10385)Instructions burned: 37 (million)
% 0.19/0.54 % (10385)------------------------------
% 0.19/0.54 % (10385)------------------------------
% 0.19/0.54 % (10389)Refutation not found, incomplete strategy% (10389)------------------------------
% 0.19/0.54 % (10389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (10389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (10389)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (10389)Memory used [KB]: 5373
% 0.19/0.54 % (10389)Time elapsed: 0.151 s
% 0.19/0.54 % (10389)Instructions burned: 1 (million)
% 0.19/0.54 % (10389)------------------------------
% 0.19/0.54 % (10389)------------------------------
% 1.75/0.58 % (10382)Instruction limit reached!
% 1.75/0.58 % (10382)------------------------------
% 1.75/0.58 % (10382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (10405)Instruction limit reached!
% 1.75/0.58 % (10405)------------------------------
% 1.75/0.58 % (10405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.58 % (10377)Instruction limit reached!
% 1.75/0.58 % (10377)------------------------------
% 1.75/0.58 % (10377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (10397)First to succeed.
% 1.75/0.59 % (10384)Instruction limit reached!
% 1.75/0.59 % (10384)------------------------------
% 1.75/0.59 % (10384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (10383)Instruction limit reached!
% 1.75/0.59 % (10383)------------------------------
% 1.75/0.59 % (10383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (10383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (10383)Termination reason: Unknown
% 1.75/0.59 % (10383)Termination phase: Saturation
% 1.75/0.59
% 1.75/0.59 % (10383)Memory used [KB]: 10746
% 1.75/0.59 % (10383)Time elapsed: 0.194 s
% 1.75/0.59 % (10383)Instructions burned: 39 (million)
% 1.75/0.59 % (10383)------------------------------
% 1.75/0.59 % (10383)------------------------------
% 1.89/0.59 % (10386)Instruction limit reached!
% 1.89/0.59 % (10386)------------------------------
% 1.89/0.59 % (10386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.59 % (10377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.59 % (10377)Termination reason: Unknown
% 1.89/0.59 % (10377)Termination phase: Saturation
% 1.89/0.59
% 1.89/0.59 % (10377)Memory used [KB]: 6268
% 1.89/0.59 % (10377)Time elapsed: 0.191 s
% 1.89/0.59 % (10377)Instructions burned: 38 (million)
% 1.89/0.59 % (10377)------------------------------
% 1.89/0.59 % (10377)------------------------------
% 1.89/0.60 % (10433)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 (2998ds/257Mi)
% 1.89/0.60 % (10397)Refutation found. Thanks to Tanya!
% 1.89/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.89/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.89/0.60 % (10397)------------------------------
% 1.89/0.60 % (10397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.60 % (10397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.60 % (10397)Termination reason: Refutation
% 1.89/0.60
% 1.89/0.60 % (10397)Memory used [KB]: 6908
% 1.89/0.60 % (10397)Time elapsed: 0.203 s
% 1.89/0.60 % (10397)Instructions burned: 69 (million)
% 1.89/0.60 % (10397)------------------------------
% 1.89/0.60 % (10397)------------------------------
% 1.89/0.60 % (10372)Success in time 0.242 s
%------------------------------------------------------------------------------