TSTP Solution File: SET042-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET042-3 : 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 : n018.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 18:18:44 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 61 ( 7 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 39 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262,plain,
$false,
inference(subsumption_resolution,[],[f261,f168]) ).
fof(f168,axiom,
member(a,set_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_set_a) ).
fof(f261,plain,
~ member(a,set_a),
inference(subsumption_resolution,[],[f254,f169]) ).
fof(f169,axiom,
member(b,set_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_set_b) ).
fof(f254,plain,
( ~ member(b,set_b)
| ~ member(a,set_a) ),
inference(resolution,[],[f222,f170]) ).
fof(f170,axiom,
~ member(ordered_pair(a,b),cross_product(set_a,set_b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ordered_pair_is_in_cross_product) ).
fof(f222,plain,
! [X0,X1] :
( member(ordered_pair(a,b),cross_product(X0,X1))
| ~ member(a,X0)
| ~ member(b,X1) ),
inference(subsumption_resolution,[],[f221,f181]) ).
fof(f181,plain,
little_set(b),
inference(resolution,[],[f169,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ member(X0,X1)
| little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).
fof(f221,plain,
! [X0,X1] :
( ~ little_set(b)
| member(ordered_pair(a,b),cross_product(X0,X1))
| ~ member(a,X0)
| ~ member(b,X1) ),
inference(subsumption_resolution,[],[f220,f176]) ).
fof(f176,plain,
little_set(a),
inference(resolution,[],[f168,f1]) ).
fof(f220,plain,
! [X0,X1] :
( ~ member(a,X0)
| ~ little_set(a)
| ~ member(b,X1)
| ~ little_set(b)
| member(ordered_pair(a,b),cross_product(X0,X1)) ),
inference(resolution,[],[f204,f172]) ).
fof(f172,plain,
! [X3,X1] :
( ordered_pair_predicate(ordered_pair(X1,X3))
| ~ little_set(X3)
| ~ little_set(X1) ),
inference(equality_resolution,[],[f14]) ).
fof(f14,axiom,
! [X3,X0,X1] :
( ordered_pair(X1,X3) != X0
| ordered_pair_predicate(X0)
| ~ little_set(X1)
| ~ little_set(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair_predicate4) ).
fof(f204,plain,
! [X0,X1] :
( ~ ordered_pair_predicate(ordered_pair(a,b))
| ~ member(a,X1)
| ~ member(b,X0)
| member(ordered_pair(a,b),cross_product(X1,X0)) ),
inference(forward_demodulation,[],[f203,f191]) ).
fof(f191,plain,
a = first(ordered_pair(a,b)),
inference(resolution,[],[f182,f176]) ).
fof(f182,plain,
! [X0] :
( ~ little_set(X0)
| first(ordered_pair(X0,b)) = X0 ),
inference(resolution,[],[f181,f146]) ).
fof(f146,axiom,
! [X0,X1] :
( ~ little_set(X1)
| ~ little_set(X0)
| first(ordered_pair(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_first) ).
fof(f203,plain,
! [X0,X1] :
( member(ordered_pair(a,b),cross_product(X1,X0))
| ~ member(first(ordered_pair(a,b)),X1)
| ~ ordered_pair_predicate(ordered_pair(a,b))
| ~ member(b,X0) ),
inference(subsumption_resolution,[],[f202,f151]) ).
fof(f151,axiom,
! [X0,X1] : little_set(ordered_pair(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pairs_are_small1) ).
fof(f202,plain,
! [X0,X1] :
( ~ ordered_pair_predicate(ordered_pair(a,b))
| member(ordered_pair(a,b),cross_product(X1,X0))
| ~ member(first(ordered_pair(a,b)),X1)
| ~ member(b,X0)
| ~ little_set(ordered_pair(a,b)) ),
inference(superposition,[],[f41,f194]) ).
fof(f194,plain,
b = second(ordered_pair(a,b)),
inference(resolution,[],[f183,f176]) ).
fof(f183,plain,
! [X1] :
( ~ little_set(X1)
| b = second(ordered_pair(X1,b)) ),
inference(resolution,[],[f181,f147]) ).
fof(f147,axiom,
! [X0,X1] :
( ~ little_set(X1)
| second(ordered_pair(X0,X1)) = X1
| ~ little_set(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_second) ).
fof(f41,axiom,
! [X3,X0,X1] :
( ~ member(second(X3),X1)
| ~ member(first(X3),X0)
| member(X3,cross_product(X0,X1))
| ~ little_set(X3)
| ~ ordered_pair_predicate(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cross_product4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET042-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % 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 : n018.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 : Tue Aug 30 13:05:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (5268)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.50 % (5269)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)
% 0.18/0.50 % (5272)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)
% 0.18/0.50 % (5292)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)
% 0.18/0.50 % (5272)Refutation not found, incomplete strategy% (5272)------------------------------
% 0.18/0.50 % (5272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (5272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (5272)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50
% 0.18/0.50 % (5272)Memory used [KB]: 6012
% 0.18/0.50 % (5272)Time elapsed: 0.114 s
% 0.18/0.50 % (5272)Instructions burned: 2 (million)
% 0.18/0.50 % (5272)------------------------------
% 0.18/0.50 % (5272)------------------------------
% 0.18/0.51 % (5284)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)
% 0.18/0.51 % (5270)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)
% 0.18/0.51 % (5271)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 % (5281)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)
% 0.18/0.51 % (5284)Instruction limit reached!
% 0.18/0.51 % (5284)------------------------------
% 0.18/0.51 % (5284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5276)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)
% 0.18/0.51 % (5284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5284)Termination reason: Unknown
% 0.18/0.51 % (5284)Termination phase: Equality resolution with deletion
% 0.18/0.51
% 0.18/0.51 % (5284)Memory used [KB]: 1535
% 0.18/0.51 % (5284)Time elapsed: 0.004 s
% 0.18/0.51 % (5284)Instructions burned: 2 (million)
% 0.18/0.51 % (5284)------------------------------
% 0.18/0.51 % (5284)------------------------------
% 0.18/0.51 % (5290)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)
% 0.18/0.51 % (5276)Instruction limit reached!
% 0.18/0.51 % (5276)------------------------------
% 0.18/0.51 % (5276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (5276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (5276)Termination reason: Unknown
% 0.18/0.51 % (5276)Termination phase: Property scanning
% 0.18/0.51
% 0.18/0.51 % (5276)Memory used [KB]: 1535
% 0.18/0.51 % (5276)Time elapsed: 0.005 s
% 0.18/0.51 % (5276)Instructions burned: 3 (million)
% 0.18/0.51 % (5276)------------------------------
% 0.18/0.51 % (5276)------------------------------
% 0.18/0.51 % (5286)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)
% 0.18/0.51 % (5275)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)
% 0.18/0.52 % (5282)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)
% 0.18/0.52 % (5295)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)
% 0.18/0.52 % (5278)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)
% 0.18/0.52 % (5293)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)
% 0.18/0.52 % (5295)First to succeed.
% 0.18/0.52 % (5274)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)
% 0.18/0.52 % (5273)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (5294)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)
% 0.18/0.53 % (5295)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (5295)------------------------------
% 0.18/0.53 % (5295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (5295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (5295)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (5295)Memory used [KB]: 1535
% 0.18/0.53 % (5295)Time elapsed: 0.134 s
% 0.18/0.53 % (5295)Instructions burned: 6 (million)
% 0.18/0.53 % (5295)------------------------------
% 0.18/0.53 % (5295)------------------------------
% 0.18/0.53 % (5267)Success in time 0.181 s
%------------------------------------------------------------------------------