TSTP Solution File: CAT009-4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT009-4 : 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 : n021.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 15:50:41 EDT 2022
% Result : Unsatisfiable 1.37s 0.52s
% Output : Refutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f42,f53]) ).
fof(f53,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f51,f29]) ).
fof(f29,plain,
( sP0(codomain(domain(b)))
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl1_1
<=> sP0(codomain(domain(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f51,plain,
~ sP0(codomain(domain(b))),
inference(subsumption_resolution,[],[f50,f12]) ).
fof(f12,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).
fof(f50,plain,
( ~ there_exists(compose(a,b))
| ~ sP0(codomain(domain(b))) ),
inference(superposition,[],[f23,f10]) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
fof(f23,plain,
! [X0] :
( ~ there_exists(compose(a,compose(b,X0)))
| ~ sP0(codomain(X0)) ),
inference(superposition,[],[f21,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f21,plain,
! [X0] :
( ~ there_exists(compose(compose(a,b),X0))
| ~ sP0(codomain(X0)) ),
inference(superposition,[],[f14,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f14,plain,
~ sP0(domain(compose(a,b))),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f42,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f41]) ).
fof(f41,plain,
( $false
| spl1_2 ),
inference(subsumption_resolution,[],[f40,f33]) ).
fof(f33,plain,
( ~ there_exists(b)
| spl1_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl1_2
<=> there_exists(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f40,plain,
there_exists(b),
inference(resolution,[],[f37,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).
fof(f37,plain,
there_exists(codomain(b)),
inference(resolution,[],[f20,f12]) ).
fof(f20,plain,
! [X0] :
( ~ there_exists(compose(a,X0))
| there_exists(codomain(X0)) ),
inference(superposition,[],[f18,f7]) ).
fof(f18,plain,
there_exists(domain(a)),
inference(resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f34,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f22,f31,f27]) ).
fof(f22,plain,
( ~ there_exists(b)
| sP0(codomain(domain(b))) ),
inference(superposition,[],[f17,f10]) ).
fof(f17,plain,
! [X0] :
( ~ there_exists(compose(b,X0))
| sP0(codomain(X0)) ),
inference(superposition,[],[f15,f7]) ).
fof(f15,plain,
sP0(domain(b)),
inference(inequality_splitting,[],[f13,f14]) ).
fof(f13,axiom,
domain(compose(a,b)) != domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_ab_equals_domain_of_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 16:13:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (9862)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)
% 0.18/0.47 % (9853)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)
% 0.18/0.47 % (9854)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)
% 0.18/0.47 % (9853)Instruction limit reached!
% 0.18/0.47 % (9853)------------------------------
% 0.18/0.47 % (9853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (9846)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)
% 0.18/0.48 % (9853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (9853)Termination reason: Unknown
% 0.18/0.48 % (9853)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (9853)Memory used [KB]: 5884
% 0.18/0.48 % (9853)Time elapsed: 0.078 s
% 0.18/0.48 % (9853)Instructions burned: 4 (million)
% 0.18/0.48 % (9853)------------------------------
% 0.18/0.48 % (9853)------------------------------
% 0.18/0.48 % (9861)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)
% 0.18/0.48 % (9861)Refutation not found, incomplete strategy% (9861)------------------------------
% 0.18/0.48 % (9861)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (9861)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (9861)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (9861)Memory used [KB]: 5756
% 0.18/0.48 % (9861)Time elapsed: 0.085 s
% 0.18/0.48 % (9861)Instructions burned: 2 (million)
% 0.18/0.48 % (9861)------------------------------
% 0.18/0.48 % (9861)------------------------------
% 0.18/0.48 % (9862)Refutation not found, incomplete strategy% (9862)------------------------------
% 0.18/0.48 % (9862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (9862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (9862)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (9862)Memory used [KB]: 5884
% 0.18/0.48 % (9862)Time elapsed: 0.075 s
% 0.18/0.48 % (9862)Instructions burned: 9 (million)
% 0.18/0.48 % (9862)------------------------------
% 0.18/0.48 % (9862)------------------------------
% 0.18/0.48 % (9863)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)
% 0.18/0.48 % (9863)Refutation not found, incomplete strategy% (9863)------------------------------
% 0.18/0.48 % (9863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (9863)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (9863)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (9863)Memory used [KB]: 5756
% 0.18/0.48 % (9863)Time elapsed: 0.088 s
% 0.18/0.48 % (9863)Instructions burned: 1 (million)
% 0.18/0.48 % (9863)------------------------------
% 0.18/0.48 % (9863)------------------------------
% 0.18/0.49 % (9841)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)
% 0.18/0.49 % (9851)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.49 % (9850)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=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49 % (9852)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)
% 0.18/0.49 % (9842)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)
% 0.18/0.50 % (9869)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)
% 0.18/0.51 % (9843)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)
% 0.18/0.51 % (9844)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)
% 0.18/0.51 % (9845)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.51 % (9864)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)
% 0.18/0.51 % (9844)Refutation not found, incomplete strategy% (9844)------------------------------
% 0.18/0.51 % (9844)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9844)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9844)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9844)Memory used [KB]: 5884
% 0.18/0.51 % (9844)Time elapsed: 0.128 s
% 0.18/0.51 % (9844)Instructions burned: 3 (million)
% 0.18/0.51 % (9844)------------------------------
% 0.18/0.51 % (9844)------------------------------
% 0.18/0.51 % (9865)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)
% 0.18/0.51 % (9865)Refutation not found, incomplete strategy% (9865)------------------------------
% 0.18/0.51 % (9865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (9865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (9865)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (9865)Memory used [KB]: 5756
% 0.18/0.51 % (9865)Time elapsed: 0.130 s
% 0.18/0.51 % (9865)Instructions burned: 2 (million)
% 0.18/0.51 % (9865)------------------------------
% 0.18/0.51 % (9865)------------------------------
% 0.18/0.51 % (9857)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.37/0.52 % (9858)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)
% 1.37/0.52 % (9840)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.37/0.52 % (9848)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)
% 1.37/0.52 % (9852)Instruction limit reached!
% 1.37/0.52 % (9852)------------------------------
% 1.37/0.52 % (9852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9852)Termination reason: Unknown
% 1.37/0.52 % (9852)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (9852)Memory used [KB]: 5884
% 1.37/0.52 % (9852)Time elapsed: 0.139 s
% 1.37/0.52 % (9852)Instructions burned: 5 (million)
% 1.37/0.52 % (9852)------------------------------
% 1.37/0.52 % (9852)------------------------------
% 1.37/0.52 % (9842)Instruction limit reached!
% 1.37/0.52 % (9842)------------------------------
% 1.37/0.52 % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9842)Termination reason: Unknown
% 1.37/0.52 % (9842)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (9842)Memory used [KB]: 5884
% 1.37/0.52 % (9842)Time elapsed: 0.137 s
% 1.37/0.52 % (9842)Instructions burned: 4 (million)
% 1.37/0.52 % (9842)------------------------------
% 1.37/0.52 % (9842)------------------------------
% 1.37/0.52 % (9850)Instruction limit reached!
% 1.37/0.52 % (9850)------------------------------
% 1.37/0.52 % (9850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9850)Termination reason: Unknown
% 1.37/0.52 % (9850)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (9850)Memory used [KB]: 5884
% 1.37/0.52 % (9850)Time elapsed: 0.140 s
% 1.37/0.52 % (9850)Instructions burned: 7 (million)
% 1.37/0.52 % (9850)------------------------------
% 1.37/0.52 % (9850)------------------------------
% 1.37/0.52 % (9869)First to succeed.
% 1.37/0.52 % (9854)Instruction limit reached!
% 1.37/0.52 % (9854)------------------------------
% 1.37/0.52 % (9854)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9854)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9854)Termination reason: Unknown
% 1.37/0.52 % (9854)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (9854)Memory used [KB]: 1663
% 1.37/0.52 % (9854)Time elapsed: 0.113 s
% 1.37/0.52 % (9854)Instructions burned: 30 (million)
% 1.37/0.52 % (9854)------------------------------
% 1.37/0.52 % (9854)------------------------------
% 1.37/0.52 % (9848)Instruction limit reached!
% 1.37/0.52 % (9848)------------------------------
% 1.37/0.52 % (9848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9848)Termination reason: Unknown
% 1.37/0.52 % (9848)Termination phase: Saturation
% 1.37/0.52
% 1.37/0.52 % (9848)Memory used [KB]: 5756
% 1.37/0.52 % (9848)Time elapsed: 0.141 s
% 1.37/0.52 % (9848)Instructions burned: 4 (million)
% 1.37/0.52 % (9848)------------------------------
% 1.37/0.52 % (9848)------------------------------
% 1.37/0.52 % (9856)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)
% 1.37/0.52 % (9869)Refutation found. Thanks to Tanya!
% 1.37/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.37/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.37/0.52 % (9869)------------------------------
% 1.37/0.52 % (9869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.52 % (9869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.52 % (9869)Termination reason: Refutation
% 1.37/0.52
% 1.37/0.52 % (9869)Memory used [KB]: 5756
% 1.37/0.52 % (9869)Time elapsed: 0.141 s
% 1.37/0.52 % (9869)Instructions burned: 2 (million)
% 1.37/0.52 % (9869)------------------------------
% 1.37/0.52 % (9869)------------------------------
% 1.37/0.52 % (9839)Success in time 0.18 s
%------------------------------------------------------------------------------