TSTP Solution File: SET231-6 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET231-6 : 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 : n004.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 0.17s 0.54s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f446,plain,
$false,
inference(subsumption_resolution,[],[f443,f159]) ).
fof(f159,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(definition_unfolding,[],[f114,f127]) ).
fof(f127,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/sandbox/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/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f114,axiom,
not_subclass_element(cross_product(x,y),z) != ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_2) ).
fof(f443,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,[],[f170,f186]) ).
fof(f186,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/sandbox/benchmark/theBenchmark.p',prove_cross_product_property6_1) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f170,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,f127]) ).
fof(f17,axiom,
! [X0,X1,X4] :
( ordered_pair(first(X4),second(X4)) = X4
| ~ member(X4,cross_product(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET231-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 13:26:49 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (17819)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)
% 0.17/0.48 % (17823)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)
% 0.17/0.48 % (17834)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)
% 0.17/0.48 % (17815)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)
% 0.17/0.48 % (17825)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)
% 0.17/0.48 % (17825)Instruction limit reached!
% 0.17/0.48 % (17825)------------------------------
% 0.17/0.48 % (17825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48 % (17825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48 % (17825)Termination reason: Unknown
% 0.17/0.48 % (17825)Termination phase: Function definition elimination
% 0.17/0.48
% 0.17/0.48 % (17825)Memory used [KB]: 1407
% 0.17/0.48 % (17825)Time elapsed: 0.004 s
% 0.17/0.48 % (17825)Instructions burned: 2 (million)
% 0.17/0.48 % (17825)------------------------------
% 0.17/0.48 % (17825)------------------------------
% 0.17/0.49 % (17827)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)
% 0.17/0.49 % (17817)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)
% 0.17/0.49 % (17817)Instruction limit reached!
% 0.17/0.49 % (17817)------------------------------
% 0.17/0.49 % (17817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (17817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (17817)Termination reason: Unknown
% 0.17/0.49 % (17817)Termination phase: Property scanning
% 0.17/0.49
% 0.17/0.49 % (17817)Memory used [KB]: 1407
% 0.17/0.49 % (17817)Time elapsed: 0.004 s
% 0.17/0.49 % (17817)Instructions burned: 4 (million)
% 0.17/0.49 % (17817)------------------------------
% 0.17/0.49 % (17817)------------------------------
% 0.17/0.49 % (17836)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)
% 0.17/0.50 % (17819)Instruction limit reached!
% 0.17/0.50 % (17819)------------------------------
% 0.17/0.50 % (17819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (17819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (17819)Termination reason: Unknown
% 0.17/0.50 % (17819)Termination phase: Property scanning
% 0.17/0.50
% 0.17/0.50 % (17819)Memory used [KB]: 1407
% 0.17/0.50 % (17819)Time elapsed: 0.007 s
% 0.17/0.50 % (17819)Instructions burned: 7 (million)
% 0.17/0.50 % (17819)------------------------------
% 0.17/0.50 % (17819)------------------------------
% 0.17/0.51 % (17827)Refutation not found, incomplete strategy% (17827)------------------------------
% 0.17/0.51 % (17827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.51 % (17832)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)
% 0.17/0.51 % (17810)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)
% 0.17/0.52 % (17836)Refutation not found, incomplete strategy% (17836)------------------------------
% 0.17/0.52 % (17836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (17827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (17827)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52 % (17827)Memory used [KB]: 10746
% 0.17/0.52 % (17827)Time elapsed: 0.121 s
% 0.17/0.52 % (17827)Instructions burned: 16 (million)
% 0.17/0.52 % (17827)------------------------------
% 0.17/0.52 % (17827)------------------------------
% 0.17/0.53 % (17836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (17836)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.53
% 0.17/0.53 % (17836)Memory used [KB]: 6268
% 0.17/0.53 % (17836)Time elapsed: 0.139 s
% 0.17/0.53 % (17836)Instructions burned: 16 (million)
% 0.17/0.53 % (17836)------------------------------
% 0.17/0.53 % (17836)------------------------------
% 0.17/0.53 % (17823)Instruction limit reached!
% 0.17/0.53 % (17823)------------------------------
% 0.17/0.53 % (17823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53 % (17823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53 % (17823)Termination reason: Unknown
% 0.17/0.53 % (17823)Termination phase: Saturation
% 0.17/0.53
% 0.17/0.53 % (17823)Memory used [KB]: 1791
% 0.17/0.53 % (17823)Time elapsed: 0.142 s
% 0.17/0.53 % (17823)Instructions burned: 30 (million)
% 0.17/0.53 % (17823)------------------------------
% 0.17/0.53 % (17823)------------------------------
% 0.17/0.53 % (17815)First to succeed.
% 0.17/0.53 % (17822)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)
% 0.17/0.54 % (17822)Instruction limit reached!
% 0.17/0.54 % (17822)------------------------------
% 0.17/0.54 % (17822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (17832)Also succeeded, but the first one will report.
% 0.17/0.54 % (17815)Refutation found. Thanks to Tanya!
% 0.17/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.54 % (17815)------------------------------
% 0.17/0.54 % (17815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.54 % (17815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.54 % (17815)Termination reason: Refutation
% 0.17/0.54
% 0.17/0.54 % (17815)Memory used [KB]: 1791
% 0.17/0.54 % (17815)Time elapsed: 0.147 s
% 0.17/0.54 % (17815)Instructions burned: 25 (million)
% 0.17/0.54 % (17815)------------------------------
% 0.17/0.54 % (17815)------------------------------
% 0.17/0.54 % (17808)Success in time 0.204 s
%------------------------------------------------------------------------------