TSTP Solution File: COL064-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 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 : n012.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 15:51:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,plain,
$false,
inference(subsumption_resolution,[],[f31,f2]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f31,plain,
apply(apply(z,x),y) != apply(apply(t,y),apply(z,x)),
inference(backward_demodulation,[],[f16,f27]) ).
fof(f27,plain,
! [X2,X0,X1] : apply(X0,apply(X1,X2)) = apply(apply(t,X2),apply(apply(b,X0),X1)),
inference(superposition,[],[f1,f2]) ).
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,
apply(apply(z,x),y) != apply(apply(t,x),apply(apply(b,apply(t,y)),z)),
inference(forward_demodulation,[],[f15,f1]) ).
fof(f15,plain,
apply(apply(z,x),y) != apply(apply(t,x),apply(apply(apply(apply(b,b),t),y),z)),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f14,plain,
apply(apply(z,x),y) != apply(apply(apply(b,apply(t,x)),apply(apply(apply(b,b),t),y)),z),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f13,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(b,apply(b,apply(t,x))),apply(apply(b,b),t)),y),z),
inference(forward_demodulation,[],[f10,f7]) ).
fof(f7,plain,
! [X2,X3] : apply(apply(t,X3),apply(t,X2)) = apply(X3,X2),
inference(superposition,[],[f2,f2]) ).
fof(f10,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(t,apply(b,apply(b,apply(t,x)))),apply(t,apply(apply(b,b),t))),y),z),
inference(superposition,[],[f6,f2]) ).
fof(f6,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(b,apply(t,x)))),y),z),
inference(forward_demodulation,[],[f5,f1]) ).
fof(f5,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(b,apply(apply(apply(b,b),t),x))),y),z),
inference(forward_demodulation,[],[f4,f1]) ).
fof(f4,plain,
apply(apply(z,x),y) != apply(apply(apply(apply(t,apply(apply(b,b),t)),apply(apply(apply(b,b),apply(apply(b,b),t)),x)),y),z),
inference(forward_demodulation,[],[f3,f1]) ).
fof(f3,axiom,
apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),apply(apply(b,b),t))),x),y),z) != apply(apply(z,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : COL064-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.12/0.13 % 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 : n012.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 16:45:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (1772)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)
% 0.19/0.50 % (1764)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)
% 0.19/0.50 % (1749)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.50 % (1754)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)
% 0.19/0.50 % (1753)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)
% 0.19/0.51 % (1756)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.51 % (1752)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)
% 0.19/0.51 % (1753)First to succeed.
% 0.19/0.51 % (1758)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)
% 0.19/0.51 % (1750)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)
% 0.19/0.51 % (1757)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 % (1775)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)
% 0.19/0.52 % (1776)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 % (1750)Instruction limit reached!
% 0.19/0.52 % (1750)------------------------------
% 0.19/0.52 % (1750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (1750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (1750)Termination reason: Unknown
% 0.19/0.52 % (1750)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (1750)Memory used [KB]: 5628
% 0.19/0.52 % (1750)Time elapsed: 0.113 s
% 0.19/0.52 % (1750)Instructions burned: 11 (million)
% 0.19/0.52 % (1750)------------------------------
% 0.19/0.52 % (1750)------------------------------
% 0.19/0.52 % (1774)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)
% 0.19/0.52 % (1755)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)
% 0.19/0.52 % (1778)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)
% 0.19/0.52 % (1768)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)
% 0.19/0.53 % (1773)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)
% 0.19/0.53 % (1755)Instruction limit reached!
% 0.19/0.53 % (1755)------------------------------
% 0.19/0.53 % (1755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1755)Termination reason: Unknown
% 0.19/0.53 % (1755)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (1755)Memory used [KB]: 5628
% 0.19/0.53 % (1755)Time elapsed: 0.131 s
% 0.19/0.53 % (1755)Instructions burned: 8 (million)
% 0.19/0.53 % (1755)------------------------------
% 0.19/0.53 % (1755)------------------------------
% 0.19/0.53 % (1751)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)
% 0.19/0.53 % (1753)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (1753)------------------------------
% 0.19/0.53 % (1753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (1753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (1753)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (1753)Memory used [KB]: 5500
% 0.19/0.53 % (1753)Time elapsed: 0.110 s
% 0.19/0.53 % (1753)Instructions burned: 1 (million)
% 0.19/0.53 % (1753)------------------------------
% 0.19/0.53 % (1753)------------------------------
% 0.19/0.53 % (1748)Success in time 0.18 s
%------------------------------------------------------------------------------