TSTP Solution File: COL041-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL041-1 : 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 : n006.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 15:51:45 EDT 2022
% Result : Unsatisfiable 0.15s 0.56s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 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 : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X0] : apply(m,apply(apply(b,f(apply(apply(b,X0),apply(apply(c,b),X0)))),X0)) != apply(X0,apply(apply(b,f(apply(apply(b,X0),apply(apply(c,b),X0)))),X0)),
inference(superposition,[],[f16,f6]) ).
fof(f6,plain,
! [X0,X1] : apply(X0,apply(X1,apply(apply(b,X0),X1))) = apply(m,apply(apply(b,X0),X1)),
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(f16,plain,
! [X6,X4,X5] : apply(f(apply(apply(b,X6),apply(apply(c,X4),X5))),apply(X6,apply(apply(X4,f(apply(apply(b,X6),apply(apply(c,X4),X5)))),X5))) != apply(X6,apply(apply(X4,f(apply(apply(b,X6),apply(apply(c,X4),X5)))),X5)),
inference(superposition,[],[f7,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
fof(f7,plain,
! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(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
% 0.02/0.09 % Problem : COL041-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Aug 29 17:10:10 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.46 % (3667)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)
% 0.15/0.46 % (3667)Refutation not found, incomplete strategy% (3667)------------------------------
% 0.15/0.46 % (3667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (3667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (3667)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.47
% 0.15/0.47 % (3667)Memory used [KB]: 5373
% 0.15/0.47 % (3667)Time elapsed: 0.093 s
% 0.15/0.47 % (3667)Instructions burned: 1 (million)
% 0.15/0.47 % (3667)------------------------------
% 0.15/0.47 % (3667)------------------------------
% 0.15/0.47 % (3676)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)
% 0.15/0.47 % (3659)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)
% 0.15/0.47 % (3659)Instruction limit reached!
% 0.15/0.47 % (3659)------------------------------
% 0.15/0.47 % (3659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (3659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (3659)Termination reason: Unknown
% 0.15/0.47 % (3659)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (3659)Memory used [KB]: 5500
% 0.15/0.47 % (3659)Time elapsed: 0.105 s
% 0.15/0.47 % (3659)Instructions burned: 7 (million)
% 0.15/0.47 % (3659)------------------------------
% 0.15/0.47 % (3659)------------------------------
% 0.15/0.48 % (3675)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)
% 0.15/0.48 % (3668)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)
% 0.15/0.48 % (3660)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.15/0.49 % (3666)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)
% 0.15/0.49 % (3665)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)
% 0.15/0.50 % (3653)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.15/0.50 % (3655)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)
% 0.15/0.50 % (3656)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)
% 0.15/0.50 % (3656)Instruction limit reached!
% 0.15/0.50 % (3656)------------------------------
% 0.15/0.50 % (3656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (3656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.50 % (3656)Termination reason: Unknown
% 0.15/0.50 % (3656)Termination phase: Saturation
% 0.15/0.50
% 0.15/0.50 % (3656)Memory used [KB]: 5500
% 0.15/0.50 % (3656)Time elapsed: 0.143 s
% 0.15/0.50 % (3656)Instructions burned: 6 (million)
% 0.15/0.50 % (3656)------------------------------
% 0.15/0.50 % (3656)------------------------------
% 0.15/0.51 % (3657)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)
% 0.15/0.51 % (3654)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)
% 0.15/0.52 % (3672)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)
% 0.15/0.52 % (3654)Instruction limit reached!
% 0.15/0.52 % (3654)------------------------------
% 0.15/0.52 % (3654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.52 % (3654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.52 % (3654)Termination reason: Unknown
% 0.15/0.52 % (3654)Termination phase: Saturation
% 0.15/0.52
% 0.15/0.52 % (3654)Memory used [KB]: 5628
% 0.15/0.52 % (3654)Time elapsed: 0.147 s
% 0.15/0.52 % (3654)Instructions burned: 10 (million)
% 0.15/0.52 % (3654)------------------------------
% 0.15/0.52 % (3654)------------------------------
% 0.15/0.52 % (3669)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)
% 0.15/0.52 % (3663)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)
% 0.15/0.52 % (3674)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)
% 0.15/0.52 % (3670)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)
% 0.15/0.52 % (3658)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)
% 0.15/0.52 % (3661)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)
% 0.15/0.52 % (3671)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)
% 0.15/0.52 % (3681)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)
% 0.15/0.53 % (3662)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)
% 0.15/0.53 % (3664)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)
% 0.15/0.53 % (3678)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)
% 0.15/0.53 % (3673)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/388Mi)
% 0.15/0.53 % (3682)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)
% 0.15/0.53 % (3680)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)
% 0.15/0.53 % (3677)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)
% 0.15/0.53 % (3679)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)
% 0.15/0.54 % (3660)Instruction limit reached!
% 0.15/0.54 % (3660)------------------------------
% 0.15/0.54 % (3660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (3676)First to succeed.
% 0.15/0.55 % (3660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (3660)Termination reason: Unknown
% 0.15/0.55 % (3660)Termination phase: Saturation
% 0.15/0.55
% 0.15/0.55 % (3660)Memory used [KB]: 5884
% 0.15/0.55 % (3660)Time elapsed: 0.128 s
% 0.15/0.55 % (3660)Instructions burned: 33 (million)
% 0.15/0.55 % (3660)------------------------------
% 0.15/0.55 % (3660)------------------------------
% 0.15/0.56 % (3676)Refutation found. Thanks to Tanya!
% 0.15/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.56 % (3676)------------------------------
% 0.15/0.56 % (3676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.56 % (3676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.56 % (3676)Termination reason: Refutation
% 0.15/0.56
% 0.15/0.56 % (3676)Memory used [KB]: 6396
% 0.15/0.56 % (3676)Time elapsed: 0.138 s
% 0.15/0.56 % (3676)Instructions burned: 44 (million)
% 0.15/0.56 % (3676)------------------------------
% 0.15/0.56 % (3676)------------------------------
% 0.15/0.56 % (3652)Success in time 0.249 s
%------------------------------------------------------------------------------