TSTP Solution File: SET041-3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET041-3 : 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 : n002.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 18:18:43 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
apply(another_function,apply(a_function,a)) != apply(another_function,apply(a_function,a)),
inference(superposition,[],[f169,f204]) ).
fof(f204,plain,
! [X0] : apply(X0,apply(a_function,a)) = apply(compose(X0,a_function),a),
inference(subsumption_resolution,[],[f201,f177]) ).
fof(f177,plain,
! [X0,X1] : subset(apply(compose(X0,a_function),X1),apply(X0,apply(a_function,X1))),
inference(resolution,[],[f167,f166]) ).
fof(f166,axiom,
! [X0,X9,X7] :
( ~ function(X7)
| subset(apply(compose(X9,X7),X0),apply(X9,apply(X7,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_for_composition2) ).
fof(f167,axiom,
function(a_function),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_function) ).
fof(f201,plain,
! [X0] :
( apply(X0,apply(a_function,a)) = apply(compose(X0,a_function),a)
| ~ subset(apply(compose(X0,a_function),a),apply(X0,apply(a_function,a))) ),
inference(resolution,[],[f184,f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',two_sets_equal) ).
fof(f184,plain,
! [X0] : subset(apply(X0,apply(a_function,a)),apply(compose(X0,a_function),a)),
inference(subsumption_resolution,[],[f180,f167]) ).
fof(f180,plain,
! [X0] :
( ~ function(a_function)
| subset(apply(X0,apply(a_function,a)),apply(compose(X0,a_function),a)) ),
inference(resolution,[],[f168,f165]) ).
fof(f165,axiom,
! [X0,X9,X7] :
( ~ member(X0,domain_of(X7))
| subset(apply(X9,apply(X7,X0)),apply(compose(X9,X7),X0))
| ~ function(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apply_for_composition1) ).
fof(f168,axiom,
member(a,domain_of(a_function)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_domain) ).
fof(f169,axiom,
apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_apply_for_composition3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET041-3 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 13:13:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % (5673)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.48 % (5698)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.49 % (5682)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (5689)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (5678)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (5687)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.50 % (5682)Refutation not found, incomplete strategy% (5682)------------------------------
% 0.20/0.50 % (5682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (5682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (5682)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (5682)Memory used [KB]: 6140
% 0.20/0.50 % (5682)Time elapsed: 0.116 s
% 0.20/0.50 % (5682)Instructions burned: 5 (million)
% 0.20/0.50 % (5682)------------------------------
% 0.20/0.50 % (5682)------------------------------
% 0.20/0.51 % (5676)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.51 % (5686)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (5689)Instruction limit reached!
% 0.20/0.52 % (5689)------------------------------
% 0.20/0.52 % (5689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (5689)Termination reason: Unknown
% 0.20/0.52 % (5689)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (5689)Memory used [KB]: 1535
% 0.20/0.52 % (5689)Time elapsed: 0.004 s
% 0.20/0.52 % (5689)Instructions burned: 4 (million)
% 0.20/0.52 % (5689)------------------------------
% 0.20/0.52 % (5689)------------------------------
% 0.20/0.52 % (5695)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.52 % (5693)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (5677)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (5672)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (5688)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.52 % (5695)Refutation not found, incomplete strategy% (5695)------------------------------
% 0.20/0.52 % (5695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (5680)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (5688)Instruction limit reached!
% 0.20/0.53 % (5688)------------------------------
% 0.20/0.53 % (5688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5688)Termination reason: Unknown
% 0.20/0.53 % (5688)Termination phase: Finite model building preprocessing
% 0.20/0.53
% 0.20/0.53 % (5688)Memory used [KB]: 1663
% 0.20/0.53 % (5688)Time elapsed: 0.008 s
% 0.20/0.53 % (5688)Instructions burned: 6 (million)
% 0.20/0.53 % (5688)------------------------------
% 0.20/0.53 % (5688)------------------------------
% 0.20/0.53 % (5701)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53 % (5681)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (5697)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (5695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5695)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5695)Memory used [KB]: 6012
% 0.20/0.53 % (5695)Time elapsed: 0.125 s
% 0.20/0.53 % (5695)Instructions burned: 2 (million)
% 0.20/0.53 % (5695)------------------------------
% 0.20/0.53 % (5695)------------------------------
% 0.20/0.53 % (5680)Refutation not found, incomplete strategy% (5680)------------------------------
% 0.20/0.53 % (5680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5701)First to succeed.
% 0.20/0.53 % (5703)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (5674)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53 % (5680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5680)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5680)Memory used [KB]: 6012
% 0.20/0.53 % (5680)Time elapsed: 0.096 s
% 0.20/0.53 % (5680)Instructions burned: 5 (million)
% 0.20/0.53 % (5680)------------------------------
% 0.20/0.53 % (5680)------------------------------
% 0.20/0.53 % (5699)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53 % (5674)Instruction limit reached!
% 0.20/0.53 % (5674)------------------------------
% 0.20/0.53 % (5674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5674)Termination reason: Unknown
% 0.20/0.53 % (5674)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (5674)Memory used [KB]: 1535
% 0.20/0.53 % (5674)Time elapsed: 0.003 s
% 0.20/0.53 % (5674)Instructions burned: 5 (million)
% 0.20/0.53 % (5674)------------------------------
% 0.20/0.53 % (5674)------------------------------
% 0.20/0.53 % (5703)Refutation not found, incomplete strategy% (5703)------------------------------
% 0.20/0.53 % (5703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5703)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (5703)Memory used [KB]: 6140
% 0.20/0.53 % (5703)Time elapsed: 0.112 s
% 0.20/0.53 % (5703)Instructions burned: 5 (million)
% 0.20/0.53 % (5703)------------------------------
% 0.20/0.53 % (5703)------------------------------
% 0.20/0.53 % (5686)Instruction limit reached!
% 0.20/0.53 % (5686)------------------------------
% 0.20/0.53 % (5686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (5686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (5686)Termination reason: Unknown
% 0.20/0.53 % (5686)Termination phase: Function definition elimination
% 0.20/0.53
% 0.20/0.53 % (5686)Memory used [KB]: 1535
% 0.20/0.53 % (5686)Time elapsed: 0.004 s
% 0.20/0.53 % (5686)Instructions burned: 4 (million)
% 0.20/0.53 % (5686)------------------------------
% 0.20/0.53 % (5686)------------------------------
% 0.20/0.54 % (5687)Instruction limit reached!
% 0.20/0.54 % (5687)------------------------------
% 0.20/0.54 % (5687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5690)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (5696)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.54 % (5687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5687)Termination reason: Unknown
% 0.20/0.54 % (5687)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5687)Memory used [KB]: 1918
% 0.20/0.54 % (5687)Time elapsed: 0.120 s
% 0.20/0.54 % (5687)Instructions burned: 30 (million)
% 0.20/0.54 % (5687)------------------------------
% 0.20/0.54 % (5687)------------------------------
% 0.20/0.54 % (5691)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.54 % (5685)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.54 % (5673)Instruction limit reached!
% 0.20/0.54 % (5673)------------------------------
% 0.20/0.54 % (5673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5673)Termination reason: Unknown
% 0.20/0.54 % (5673)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (5673)Memory used [KB]: 2814
% 0.20/0.54 % (5673)Time elapsed: 0.162 s
% 0.20/0.54 % (5673)Instructions burned: 42 (million)
% 0.20/0.54 % (5673)------------------------------
% 0.20/0.54 % (5673)------------------------------
% 0.20/0.54 % (5675)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54 % (5685)Instruction limit reached!
% 0.20/0.54 % (5685)------------------------------
% 0.20/0.54 % (5685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5693)Instruction limit reached!
% 0.20/0.54 % (5693)------------------------------
% 0.20/0.54 % (5693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5694)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54 % (5702)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.54 % (5701)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (5701)------------------------------
% 0.20/0.54 % (5701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (5701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (5701)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (5701)Memory used [KB]: 1663
% 0.20/0.54 % (5701)Time elapsed: 0.136 s
% 0.20/0.54 % (5701)Instructions burned: 4 (million)
% 0.20/0.54 % (5701)------------------------------
% 0.20/0.54 % (5701)------------------------------
% 0.20/0.54 % (5667)Success in time 0.188 s
%------------------------------------------------------------------------------