TSTP Solution File: SET098-7 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET098-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n025.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 18:19:12 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f197,plain,
$false,
inference(unit_resulting_resolution,[],[f144,f143,f162,f141]) ).
fof(f141,axiom,
! [X0] :
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X0,null_class))),X0),null_class),intersection(complement(singleton(not_subclass_element(X0,null_class))),X0))
| null_class = X0
| singleton(not_subclass_element(X0,null_class)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',number_of_elements_in_class) ).
fof(f162,plain,
! [X0] : ~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),intersection(X0,x)),
inference(unit_resulting_resolution,[],[f142,f22]) ).
fof(f22,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f142,axiom,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
fof(f143,axiom,
x != singleton(not_subclass_element(x,null_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
fof(f144,axiom,
null_class != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET098-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.13 % 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 : n025.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 13:25:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (16691)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)
% 0.19/0.50 % (16689)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)
% 0.19/0.51 % (16689)Refutation not found, incomplete strategy% (16689)------------------------------
% 0.19/0.51 % (16689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (16697)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)
% 0.19/0.51 % (16682)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (16686)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)
% 0.19/0.52 % (16689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16689)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (16689)Memory used [KB]: 6012
% 0.19/0.52 % (16689)Time elapsed: 0.099 s
% 0.19/0.52 % (16689)Instructions burned: 8 (million)
% 0.19/0.52 % (16689)------------------------------
% 0.19/0.52 % (16689)------------------------------
% 0.19/0.52 % (16704)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)
% 0.19/0.52 % (16707)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)
% 0.19/0.52 % (16697)Instruction limit reached!
% 0.19/0.52 % (16697)------------------------------
% 0.19/0.52 % (16697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16699)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (16697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16697)Termination reason: Unknown
% 0.19/0.52 % (16697)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (16697)Memory used [KB]: 1407
% 0.19/0.52 % (16697)Time elapsed: 0.005 s
% 0.19/0.52 % (16697)Instructions burned: 6 (million)
% 0.19/0.52 % (16697)------------------------------
% 0.19/0.52 % (16697)------------------------------
% 0.19/0.53 % (16709)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)
% 0.19/0.53 % (16709)Refutation not found, incomplete strategy% (16709)------------------------------
% 0.19/0.53 % (16709)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16709)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16709)Memory used [KB]: 1407
% 0.19/0.53 % (16709)Time elapsed: 0.125 s
% 0.19/0.53 % (16709)Instructions burned: 2 (million)
% 0.19/0.53 % (16709)------------------------------
% 0.19/0.53 % (16709)------------------------------
% 0.19/0.53 % (16699)Instruction limit reached!
% 0.19/0.53 % (16699)------------------------------
% 0.19/0.53 % (16699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16685)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)
% 0.19/0.53 % (16688)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)
% 0.19/0.53 % (16707)Refutation not found, incomplete strategy% (16707)------------------------------
% 0.19/0.53 % (16707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16707)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (16707)Memory used [KB]: 5884
% 0.19/0.53 % (16707)Time elapsed: 0.117 s
% 0.19/0.53 % (16707)Instructions burned: 3 (million)
% 0.19/0.53 % (16707)------------------------------
% 0.19/0.53 % (16707)------------------------------
% 0.19/0.53 % (16687)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (16699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16699)Termination reason: Unknown
% 0.19/0.53 % (16699)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (16699)Memory used [KB]: 6012
% 0.19/0.53 % (16684)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)
% 0.19/0.53 % (16699)Time elapsed: 0.006 s
% 0.19/0.53 % (16699)Instructions burned: 8 (million)
% 0.19/0.53 % (16699)------------------------------
% 0.19/0.53 % (16699)------------------------------
% 0.19/0.53 % (16683)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)
% 0.19/0.53 % (16692)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)
% 0.19/0.54 % (16696)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)
% 0.19/0.54 % (16690)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)
% 0.19/0.54 % (16702)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)
% 0.19/0.54 % (16690)Instruction limit reached!
% 0.19/0.54 % (16690)------------------------------
% 0.19/0.54 % (16690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16690)Termination reason: Unknown
% 0.19/0.54 % (16690)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (16690)Memory used [KB]: 1407
% 0.19/0.54 % (16690)Time elapsed: 0.004 s
% 0.19/0.54 % (16690)Instructions burned: 3 (million)
% 0.19/0.54 % (16690)------------------------------
% 0.19/0.54 % (16690)------------------------------
% 0.19/0.54 % (16692)Instruction limit reached!
% 0.19/0.54 % (16692)------------------------------
% 0.19/0.54 % (16692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16692)Termination reason: Unknown
% 0.19/0.54 % (16692)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (16692)Memory used [KB]: 1407
% 0.19/0.54 % (16692)Time elapsed: 0.003 s
% 0.19/0.54 % (16692)Instructions burned: 6 (million)
% 0.19/0.54 % (16692)------------------------------
% 0.19/0.54 % (16692)------------------------------
% 0.19/0.54 % (16701)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)
% 0.19/0.54 % (16706)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)
% 0.19/0.54 % (16702)Instruction limit reached!
% 0.19/0.54 % (16702)------------------------------
% 0.19/0.54 % (16702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16702)Termination reason: Unknown
% 0.19/0.54 % (16702)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16702)Memory used [KB]: 1407
% 0.19/0.54 % (16702)Time elapsed: 0.004 s
% 0.19/0.54 % (16702)Instructions burned: 7 (million)
% 0.19/0.54 % (16702)------------------------------
% 0.19/0.54 % (16702)------------------------------
% 0.19/0.54 % (16703)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)
% 0.19/0.54 % (16701)Instruction limit reached!
% 0.19/0.54 % (16701)------------------------------
% 0.19/0.54 % (16701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16701)Termination reason: Unknown
% 0.19/0.54 % (16701)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (16701)Memory used [KB]: 1535
% 0.19/0.54 % (16701)Time elapsed: 0.004 s
% 0.19/0.54 % (16701)Instructions burned: 8 (million)
% 0.19/0.54 % (16701)------------------------------
% 0.19/0.54 % (16701)------------------------------
% 0.19/0.54 % (16708)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.54 % (16686)First to succeed.
% 0.19/0.54 % (16703)Refutation not found, incomplete strategy% (16703)------------------------------
% 0.19/0.54 % (16703)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16703)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16703)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (16703)Memory used [KB]: 5884
% 0.19/0.54 % (16703)Time elapsed: 0.143 s
% 0.19/0.54 % (16703)Instructions burned: 2 (million)
% 0.19/0.54 % (16703)------------------------------
% 0.19/0.54 % (16703)------------------------------
% 0.19/0.54 % (16686)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (16686)------------------------------
% 0.19/0.54 % (16686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16686)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (16686)Memory used [KB]: 6012
% 0.19/0.54 % (16686)Time elapsed: 0.131 s
% 0.19/0.54 % (16686)Instructions burned: 5 (million)
% 0.19/0.54 % (16686)------------------------------
% 0.19/0.54 % (16686)------------------------------
% 0.19/0.54 % (16681)Success in time 0.188 s
%------------------------------------------------------------------------------