TSTP Solution File: SET096-6 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET096-6 : 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_sat --cores 0 -t %d %s
% Computer : n007.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 18:23:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 42 ( 16 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 15 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f298,plain,
$false,
inference(subsumption_resolution,[],[f284,f297]) ).
fof(f297,plain,
~ member(y,x),
inference(backward_demodulation,[],[f203,f276]) ).
fof(f276,plain,
y = not_subclass_element(unordered_pair(y,y),x),
inference(duplicate_literal_removal,[],[f256]) ).
fof(f256,plain,
( y = not_subclass_element(unordered_pair(y,y),x)
| y = not_subclass_element(unordered_pair(y,y),x) ),
inference(resolution,[],[f8,f204]) ).
fof(f204,plain,
member(not_subclass_element(unordered_pair(y,y),x),unordered_pair(y,y)),
inference(resolution,[],[f200,f2]) ).
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(f200,plain,
~ subclass(unordered_pair(y,y),x),
inference(subsumption_resolution,[],[f188,f130]) ).
fof(f130,plain,
subclass(x,unordered_pair(y,y)),
inference(definition_unfolding,[],[f92,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f92,axiom,
subclass(x,singleton(y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_1) ).
fof(f188,plain,
( ~ subclass(unordered_pair(y,y),x)
| ~ subclass(x,unordered_pair(y,y)) ),
inference(extensionality_resolution,[],[f7,f143]) ).
fof(f143,plain,
x != unordered_pair(y,y),
inference(definition_unfolding,[],[f94,f12]) ).
fof(f94,axiom,
x != singleton(y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_3) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X2,unordered_pair(X0,X1))
| X0 = X2
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f203,plain,
~ member(not_subclass_element(unordered_pair(y,y),x),x),
inference(resolution,[],[f200,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f284,plain,
member(y,x),
inference(subsumption_resolution,[],[f283,f93]) ).
fof(f93,axiom,
null_class != x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_two_subsets_of_singleton_2) ).
fof(f283,plain,
( null_class = x
| member(y,x) ),
inference(superposition,[],[f66,f273]) ).
fof(f273,plain,
y = regular(x),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
( y = regular(x)
| y = regular(x) ),
inference(resolution,[],[f8,f172]) ).
fof(f172,plain,
member(regular(x),unordered_pair(y,y)),
inference(subsumption_resolution,[],[f171,f93]) ).
fof(f171,plain,
( null_class = x
| member(regular(x),unordered_pair(y,y)) ),
inference(resolution,[],[f170,f66]) ).
fof(f170,plain,
! [X20] :
( ~ member(X20,x)
| member(X20,unordered_pair(y,y)) ),
inference(resolution,[],[f1,f130]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f66,axiom,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET096-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.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 13:01:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (30972)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (30953)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (30965)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (30957)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (30957)Instruction limit reached!
% 0.19/0.51 % (30957)------------------------------
% 0.19/0.51 % (30957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30956)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (30959)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (30973)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.52 % (30950)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (30957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (30957)Termination reason: Unknown
% 0.19/0.52 % (30957)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (30957)Memory used [KB]: 5500
% 0.19/0.52 % (30957)Time elapsed: 0.097 s
% 0.19/0.52 % (30957)Instructions burned: 7 (million)
% 0.19/0.52 % (30957)------------------------------
% 0.19/0.52 % (30957)------------------------------
% 0.19/0.52 % (30979)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (30972)First to succeed.
% 0.19/0.53 % (30964)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (30958)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (30958)Instruction limit reached!
% 0.19/0.53 % (30958)------------------------------
% 0.19/0.53 % (30958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (30958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (30978)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (30958)Termination reason: Unknown
% 0.19/0.53 % (30958)Termination phase: Function definition elimination
% 0.19/0.53
% 0.19/0.53 % (30958)Memory used [KB]: 895
% 0.19/0.53 % (30958)Time elapsed: 0.002 s
% 0.19/0.53 % (30958)Instructions burned: 2 (million)
% 0.19/0.53 % (30958)------------------------------
% 0.19/0.53 % (30958)------------------------------
% 0.19/0.53 % (30963)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (30976)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (30951)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (30954)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (30952)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (30977)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (30955)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54 % (30969)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (30970)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (30971)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (30968)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (30972)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 % (30972)------------------------------
% 0.19/0.54 % (30972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (30972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (30972)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (30972)Memory used [KB]: 1151
% 0.19/0.54 % (30972)Time elapsed: 0.116 s
% 0.19/0.54 % (30972)Instructions burned: 12 (million)
% 0.19/0.54 % (30972)------------------------------
% 0.19/0.54 % (30972)------------------------------
% 0.19/0.54 % (30949)Success in time 0.195 s
%------------------------------------------------------------------------------