TSTP Solution File: LAT011-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 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 17:31:28 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f448,plain,
$false,
inference(subsumption_resolution,[],[f447,f17]) ).
fof(f17,plain,
sF1 != sF0,
inference(definition_folding,[],[f14,f16,f15]) ).
fof(f15,plain,
meet(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f16,plain,
meet2(a,b) = sF1,
introduced(function_definition,[]) ).
fof(f14,axiom,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_meets_are_same) ).
fof(f447,plain,
sF1 = sF0,
inference(forward_demodulation,[],[f446,f125]) ).
fof(f125,plain,
meet2(a,sF0) = sF0,
inference(superposition,[],[f121,f10]) ).
fof(f10,axiom,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet2) ).
fof(f121,plain,
sF0 = meet2(sF0,a),
inference(superposition,[],[f30,f21]) ).
fof(f21,plain,
a = join(a,sF0),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f30,plain,
! [X3,X4] : meet2(X3,join(X4,X3)) = X3,
inference(superposition,[],[f11,f6]) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f11,axiom,
! [X0,X1] : meet2(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1_2) ).
fof(f446,plain,
meet2(a,sF0) = sF1,
inference(forward_demodulation,[],[f428,f325]) ).
fof(f325,plain,
sF1 = meet2(sF1,sF0),
inference(superposition,[],[f30,f320]) ).
fof(f320,plain,
join(sF0,sF1) = sF0,
inference(superposition,[],[f4,f283]) ).
fof(f283,plain,
sF1 = meet(sF0,sF1),
inference(forward_demodulation,[],[f271,f68]) ).
fof(f68,plain,
sF1 = meet(a,sF1),
inference(superposition,[],[f58,f5]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f58,plain,
sF1 = meet(sF1,a),
inference(superposition,[],[f26,f37]) ).
fof(f37,plain,
a = join(a,sF1),
inference(superposition,[],[f12,f16]) ).
fof(f12,axiom,
! [X0,X1] : join(X0,meet2(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2_2) ).
fof(f26,plain,
! [X2,X1] : meet(X1,join(X2,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f271,plain,
meet(a,sF1) = meet(sF0,sF1),
inference(superposition,[],[f90,f199]) ).
fof(f199,plain,
sF1 = meet(b,sF1),
inference(superposition,[],[f197,f5]) ).
fof(f197,plain,
sF1 = meet(sF1,b),
inference(superposition,[],[f26,f178]) ).
fof(f178,plain,
b = join(b,sF1),
inference(superposition,[],[f34,f16]) ).
fof(f34,plain,
! [X2,X1] : join(X1,meet2(X2,X1)) = X1,
inference(superposition,[],[f12,f10]) ).
fof(f90,plain,
! [X18] : meet(sF0,X18) = meet(a,meet(b,X18)),
inference(superposition,[],[f7,f15]) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f428,plain,
meet2(a,sF0) = meet2(sF1,sF0),
inference(superposition,[],[f218,f135]) ).
fof(f135,plain,
sF0 = meet2(b,sF0),
inference(superposition,[],[f123,f10]) ).
fof(f123,plain,
sF0 = meet2(sF0,b),
inference(superposition,[],[f30,f46]) ).
fof(f46,plain,
b = join(b,sF0),
inference(superposition,[],[f24,f15]) ).
fof(f24,plain,
! [X3,X4] : join(X3,meet(X4,X3)) = X3,
inference(superposition,[],[f4,f5]) ).
fof(f218,plain,
! [X18] : meet2(a,meet2(b,X18)) = meet2(sF1,X18),
inference(superposition,[],[f13,f16]) ).
fof(f13,axiom,
! [X2,X0,X1] : meet2(meet2(X0,X1),X2) = meet2(X0,meet2(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 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
% 0.13/0.34 % 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 : Tue Aug 30 00:41:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (16014)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)
% 0.20/0.50 % (16006)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)
% 0.20/0.52 % (15998)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/33Mi)
% 0.20/0.55 % (16016)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)
% 0.20/0.55 % (15991)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.20/0.55 % (16004)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)
% 0.20/0.55 % (16003)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)
% 0.20/0.55 % (15995)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)
% 0.20/0.56 % (16005)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)
% 0.20/0.56 % (16020)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)
% 0.20/0.56 % (15996)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)
% 0.20/0.56 % (16008)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)
% 0.20/0.57 % (16018)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)
% 0.20/0.57 % (15997)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)
% 0.20/0.58 % (16017)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)
% 0.20/0.58 % (16009)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)
% 0.20/0.59 % (16013)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)
% 0.20/0.59 % (15998)Instruction limit reached!
% 0.20/0.59 % (15998)------------------------------
% 0.20/0.59 % (15998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (15998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (15998)Termination reason: Unknown
% 0.20/0.59 % (15998)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (15998)Memory used [KB]: 5884
% 0.20/0.59 % (15998)Time elapsed: 0.139 s
% 0.20/0.59 % (15998)Instructions burned: 33 (million)
% 0.20/0.59 % (15998)------------------------------
% 0.20/0.59 % (15998)------------------------------
% 0.20/0.59 % (15999)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)
% 0.20/0.59 % (15997)Instruction limit reached!
% 0.20/0.59 % (15997)------------------------------
% 0.20/0.59 % (15997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (15997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (15997)Termination reason: Unknown
% 0.20/0.59 % (15997)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (15997)Memory used [KB]: 5500
% 0.20/0.59 % (15997)Time elapsed: 0.169 s
% 0.20/0.59 % (15997)Instructions burned: 7 (million)
% 0.20/0.59 % (15997)------------------------------
% 0.20/0.59 % (15997)------------------------------
% 0.20/0.59 % (15993)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)
% 0.20/0.59 % (16012)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)
% 0.20/0.60 % (15991)First to succeed.
% 0.20/0.60 % (15992)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)
% 0.20/0.60 % (15991)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (15991)------------------------------
% 0.20/0.60 % (15991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (15991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (15991)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (15991)Memory used [KB]: 5756
% 0.20/0.60 % (15991)Time elapsed: 0.155 s
% 0.20/0.60 % (15991)Instructions burned: 19 (million)
% 0.20/0.60 % (15991)------------------------------
% 0.20/0.60 % (15991)------------------------------
% 0.20/0.60 % (15990)Success in time 0.253 s
%------------------------------------------------------------------------------