TSTP Solution File: NUM142-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM142-1 : 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 : n002.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 18:03:33 EDT 2022
% Result : Unsatisfiable 0.14s 0.52s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 32 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f342,plain,
$false,
inference(subsumption_resolution,[],[f340,f266]) ).
fof(f266,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
inference(resolution,[],[f2,f239]) ).
fof(f239,plain,
~ subclass(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(definition_unfolding,[],[f159,f165]) ).
fof(f165,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f43,f26,f12]) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
fof(f43,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor) ).
fof(f159,axiom,
~ subclass(x,successor(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_successor_of_set_is_set3_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(f340,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),x),
inference(resolution,[],[f338,f24]) ).
fof(f24,axiom,
! [X0,X4] :
( ~ member(X4,complement(X0))
| ~ member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f338,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(x)),
inference(resolution,[],[f336,f21]) ).
fof(f21,axiom,
! [X0,X1,X4] :
( ~ member(X4,intersection(X0,X1))
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f336,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x)))),
inference(subsumption_resolution,[],[f335,f318]) ).
fof(f318,plain,
member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class),
inference(resolution,[],[f276,f266]) ).
fof(f276,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f335,plain,
( member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),intersection(complement(x),complement(unordered_pair(x,x))))
| ~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),universal_class) ),
inference(resolution,[],[f25,f267]) ).
fof(f267,plain,
~ member(not_subclass_element(x,complement(intersection(complement(x),complement(unordered_pair(x,x))))),complement(intersection(complement(x),complement(unordered_pair(x,x))))),
inference(resolution,[],[f3,f239]) ).
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(f25,axiom,
! [X0,X4] :
( member(X4,complement(X0))
| ~ member(X4,universal_class)
| member(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM142-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31 % Computer : n002.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 06:15:43 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.14/0.47 % (24865)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.47 % (24864)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.47 % (24863)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)
% 0.14/0.48 % (24881)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.48 % (24873)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.48 % (24880)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)
% 0.14/0.48 % (24864)Instruction limit reached!
% 0.14/0.48 % (24864)------------------------------
% 0.14/0.48 % (24864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (24872)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)
% 0.14/0.48 % (24879)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)
% 0.14/0.48 % (24871)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)
% 0.14/0.49 % (24865)Instruction limit reached!
% 0.14/0.49 % (24865)------------------------------
% 0.14/0.49 % (24865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49 % (24864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (24864)Termination reason: Unknown
% 0.14/0.49 % (24864)Termination phase: Saturation
% 0.14/0.49
% 0.14/0.49 % (24864)Memory used [KB]: 5628
% 0.14/0.49 % (24864)Time elapsed: 0.007 s
% 0.14/0.49 % (24864)Instructions burned: 7 (million)
% 0.14/0.49 % (24864)------------------------------
% 0.14/0.49 % (24864)------------------------------
% 0.14/0.49 % (24865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (24865)Termination reason: Unknown
% 0.14/0.49 % (24865)Termination phase: Function definition elimination
% 0.14/0.49
% 0.14/0.49 % (24865)Memory used [KB]: 1023
% 0.14/0.49 % (24865)Time elapsed: 0.005 s
% 0.14/0.49 % (24865)Instructions burned: 3 (million)
% 0.14/0.49 % (24865)------------------------------
% 0.14/0.49 % (24865)------------------------------
% 0.14/0.51 % (24879)First to succeed.
% 0.14/0.51 % (24885)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.52 % (24878)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.52 % (24875)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.52 % (24860)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)
% 0.14/0.52 % (24859)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)
% 0.14/0.52 % (24861)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.52 % (24879)Refutation found. Thanks to Tanya!
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.52 % (24879)------------------------------
% 0.14/0.52 % (24879)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.52 % (24879)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.52 % (24879)Termination reason: Refutation
% 0.14/0.52
% 0.14/0.52 % (24879)Memory used [KB]: 1279
% 0.14/0.52 % (24879)Time elapsed: 0.133 s
% 0.14/0.52 % (24879)Instructions burned: 13 (million)
% 0.14/0.52 % (24879)------------------------------
% 0.14/0.52 % (24879)------------------------------
% 0.14/0.52 % (24856)Success in time 0.205 s
%------------------------------------------------------------------------------