TSTP Solution File: SET233-6 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET233-6 : 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 : n017.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 18:19:53 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 21 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f432,plain,
$false,
inference(resolution,[],[f401,f185]) ).
fof(f185,plain,
member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)),
inference(resolution,[],[f2,f113]) ).
fof(f113,axiom,
~ subclass(cross_product(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property8_1) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f401,plain,
! [X0] : ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,y)),
inference(resolution,[],[f388,f114]) ).
fof(f114,axiom,
~ member(second(not_subclass_element(cross_product(x,y),z)),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cross_product_property8_2) ).
fof(f388,plain,
! [X0,X1] :
( member(second(not_subclass_element(cross_product(x,y),z)),X1)
| ~ member(not_subclass_element(cross_product(x,y),z),cross_product(X0,X1)) ),
inference(superposition,[],[f131,f385]) ).
fof(f385,plain,
not_subclass_element(cross_product(x,y),z) = unordered_pair(unordered_pair(first(not_subclass_element(cross_product(x,y),z)),first(not_subclass_element(cross_product(x,y),z))),unordered_pair(first(not_subclass_element(cross_product(x,y),z)),unordered_pair(second(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))))),
inference(resolution,[],[f164,f185]) ).
fof(f164,plain,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| unordered_pair(unordered_pair(first(X4),first(X4)),unordered_pair(first(X4),unordered_pair(second(X4),second(X4)))) = X4 ),
inference(definition_unfolding,[],[f17,f119]) ).
fof(f119,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ~ member(X4,cross_product(X0,X1))
| ordered_pair(first(X4),second(X4)) = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f131,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X3,X3))),cross_product(X0,X1))
| member(X3,X1) ),
inference(definition_unfolding,[],[f15,f119]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
| member(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartesian_product2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET233-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n017.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 12:54:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (24840)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)
% 0.19/0.50 % (24856)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)
% 0.19/0.50 % (24840)Refutation not found, incomplete strategy% (24840)------------------------------
% 0.19/0.50 % (24840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24840)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (24840)Memory used [KB]: 5884
% 0.19/0.50 % (24840)Time elapsed: 0.077 s
% 0.19/0.50 % (24840)Instructions burned: 2 (million)
% 0.19/0.50 % (24840)------------------------------
% 0.19/0.50 % (24840)------------------------------
% 0.19/0.51 % (24833)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53 % (24846)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)
% 0.19/0.53 % (24852)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)
% 0.19/0.53 % (24834)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 % (24835)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 % (24835)Instruction limit reached!
% 0.19/0.53 % (24835)------------------------------
% 0.19/0.53 % (24835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24835)Termination reason: Unknown
% 0.19/0.53 % (24835)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (24835)Memory used [KB]: 1407
% 0.19/0.53 % (24835)Time elapsed: 0.004 s
% 0.19/0.53 % (24835)Instructions burned: 4 (million)
% 0.19/0.53 % (24835)------------------------------
% 0.19/0.53 % (24835)------------------------------
% 0.19/0.54 % (24860)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)
% 0.19/0.54 % (24854)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 % (24860)Refutation not found, incomplete strategy% (24860)------------------------------
% 0.19/0.54 % (24860)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24860)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24860)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (24860)Memory used [KB]: 1407
% 0.19/0.54 % (24860)Time elapsed: 0.137 s
% 0.19/0.54 % (24860)Instructions burned: 2 (million)
% 0.19/0.54 % (24860)------------------------------
% 0.19/0.54 % (24860)------------------------------
% 0.19/0.54 % (24850)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (24839)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)
% 0.19/0.54 % (24836)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)
% 0.19/0.54 % (24843)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 % (24849)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)
% 0.19/0.54 % (24849)Instruction limit reached!
% 0.19/0.54 % (24849)------------------------------
% 0.19/0.54 % (24849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24850)Instruction limit reached!
% 0.19/0.54 % (24850)------------------------------
% 0.19/0.54 % (24850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24849)Termination reason: Unknown
% 0.19/0.54 % (24850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24849)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (24850)Termination reason: Unknown
% 0.19/0.54 % (24850)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24849)Memory used [KB]: 1407
% 0.19/0.54 % (24849)Time elapsed: 0.002 s
% 0.19/0.54 % (24850)Memory used [KB]: 6140
% 0.19/0.54 % (24849)Instructions burned: 2 (million)
% 0.19/0.54 % (24850)Time elapsed: 0.004 s
% 0.19/0.54 % (24849)------------------------------
% 0.19/0.54 % (24849)------------------------------
% 0.19/0.54 % (24850)Instructions burned: 8 (million)
% 0.19/0.54 % (24850)------------------------------
% 0.19/0.54 % (24850)------------------------------
% 0.19/0.54 % (24841)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 % (24843)Instruction limit reached!
% 0.19/0.54 % (24843)------------------------------
% 0.19/0.54 % (24843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24843)Termination reason: Unknown
% 0.19/0.54 % (24843)Termination phase: Equality proxy
% 0.19/0.54
% 0.19/0.54 % (24843)Memory used [KB]: 1407
% 0.19/0.54 % (24843)Time elapsed: 0.004 s
% 0.19/0.54 % (24843)Instructions burned: 7 (million)
% 0.19/0.54 % (24843)------------------------------
% 0.19/0.54 % (24843)------------------------------
% 0.19/0.54 % (24852)Instruction limit reached!
% 0.19/0.54 % (24852)------------------------------
% 0.19/0.54 % (24852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24852)Termination reason: Unknown
% 0.19/0.54 % (24852)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24852)Memory used [KB]: 1535
% 0.19/0.54 % (24852)Time elapsed: 0.004 s
% 0.19/0.54 % (24852)Instructions burned: 8 (million)
% 0.19/0.54 % (24852)------------------------------
% 0.19/0.54 % (24852)------------------------------
% 0.19/0.54 % (24841)Instruction limit reached!
% 0.19/0.54 % (24841)------------------------------
% 0.19/0.54 % (24841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24841)Termination reason: Unknown
% 0.19/0.54 % (24841)Termination phase: Equality proxy
% 0.19/0.54
% 0.19/0.54 % (24841)Memory used [KB]: 1407
% 0.19/0.54 % (24841)Time elapsed: 0.004 s
% 0.19/0.54 % (24841)Instructions burned: 5 (million)
% 0.19/0.54 % (24841)------------------------------
% 0.19/0.54 % (24841)------------------------------
% 0.19/0.54 % (24842)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)
% 0.19/0.54 % (24837)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)
% 0.19/0.55 % (24842)Refutation not found, incomplete strategy% (24842)------------------------------
% 0.19/0.55 % (24842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24858)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)
% 0.19/0.55 % (24846)Instruction limit reached!
% 0.19/0.55 % (24846)------------------------------
% 0.19/0.55 % (24846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24846)Termination reason: Unknown
% 0.19/0.55 % (24846)Termination phase: Property scanning
% 0.19/0.55
% 0.19/0.55 % (24846)Memory used [KB]: 1407
% 0.19/0.55 % (24846)Time elapsed: 0.004 s
% 0.19/0.55 % (24846)Instructions burned: 5 (million)
% 0.19/0.55 % (24846)------------------------------
% 0.19/0.55 % (24846)------------------------------
% 0.19/0.55 % (24856)Instruction limit reached!
% 0.19/0.55 % (24856)------------------------------
% 0.19/0.55 % (24856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24856)Termination reason: Unknown
% 0.19/0.55 % (24856)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24856)Memory used [KB]: 6652
% 0.19/0.55 % (24856)Time elapsed: 0.126 s
% 0.19/0.55 % (24856)Instructions burned: 37 (million)
% 0.19/0.55 % (24856)------------------------------
% 0.19/0.55 % (24856)------------------------------
% 0.19/0.55 % (24858)Refutation not found, incomplete strategy% (24858)------------------------------
% 0.19/0.55 % (24858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24858)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (24858)Memory used [KB]: 5884
% 0.19/0.55 % (24858)Time elapsed: 0.142 s
% 0.19/0.55 % (24858)Instructions burned: 2 (million)
% 0.19/0.55 % (24858)------------------------------
% 0.19/0.55 % (24858)------------------------------
% 0.19/0.55 % (24842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24842)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (24842)Memory used [KB]: 6012
% 0.19/0.55 % (24842)Time elapsed: 0.146 s
% 0.19/0.55 % (24842)Instructions burned: 3 (million)
% 0.19/0.55 % (24842)------------------------------
% 0.19/0.55 % (24842)------------------------------
% 0.19/0.55 % (24834)Refutation not found, incomplete strategy% (24834)------------------------------
% 0.19/0.55 % (24834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24834)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (24834)Memory used [KB]: 1791
% 0.19/0.55 % (24834)Time elapsed: 0.138 s
% 0.19/0.55 % (24834)Instructions burned: 14 (million)
% 0.19/0.55 % (24834)------------------------------
% 0.19/0.55 % (24834)------------------------------
% 0.19/0.55 % (24861)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)
% 0.19/0.55 % (24839)First to succeed.
% 0.19/0.55 % (24851)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)
% 0.19/0.55 % (24839)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (24839)------------------------------
% 0.19/0.55 % (24839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24839)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (24839)Memory used [KB]: 1663
% 0.19/0.55 % (24839)Time elapsed: 0.129 s
% 0.19/0.55 % (24839)Instructions burned: 20 (million)
% 0.19/0.55 % (24839)------------------------------
% 0.19/0.55 % (24839)------------------------------
% 0.19/0.55 % (24832)Success in time 0.195 s
%------------------------------------------------------------------------------