TSTP Solution File: SWC097+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n012.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 18:41:43 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 210 ( 70 equ)
% Maximal formula atoms : 26 ( 8 avg)
% Number of connectives : 248 ( 64 ~; 48 |; 116 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 73 ( 30 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f611,plain,
$false,
inference(subsumption_resolution,[],[f610,f608]) ).
fof(f608,plain,
app(sK24,cons(sK26,nil)) = sK25,
inference(subsumption_resolution,[],[f437,f605]) ).
fof(f605,plain,
neq(sK25,nil),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f565,plain,
( neq(sK25,nil)
| neq(sK25,nil) ),
inference(definition_unfolding,[],[f442,f444,f444]) ).
fof(f444,plain,
sK23 = sK25,
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ssList(sK23)
& ssList(sK24)
& sK22 = sK24
& sK23 = sK25
& ssList(sK25)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& app(sK24,cons(sK26,nil)) = sK25
& ssItem(sK26) )
| ( neq(sK23,nil)
& ~ neq(sK25,nil) ) )
& ssList(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26])],[f276,f281,f280,f279,f278,f277]) ).
fof(f277,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ssList(X3)
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| app(X0,cons(X4,nil)) != X1 )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK22 = X2
& X1 = X3
& ssList(X3)
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| app(sK22,cons(X4,nil)) != X1 )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) ) ) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK22 = X2
& X1 = X3
& ssList(X3)
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| app(sK22,cons(X4,nil)) != X1 )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) ) ) )
=> ( ssList(sK23)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK22 = X2
& sK23 = X3
& ssList(X3)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(sK23,nil)
& ~ neq(X3,nil) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK22 = X2
& sK23 = X3
& ssList(X3)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(sK23,nil)
& ~ neq(X3,nil) ) ) ) )
=> ( ssList(sK24)
& ? [X3] :
( sK22 = sK24
& sK23 = X3
& ssList(X3)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& ? [X5] :
( app(sK24,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(sK23,nil)
& ~ neq(X3,nil) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X3] :
( sK22 = sK24
& sK23 = X3
& ssList(X3)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& ? [X5] :
( app(sK24,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(sK23,nil)
& ~ neq(X3,nil) ) ) )
=> ( sK22 = sK24
& sK23 = sK25
& ssList(sK25)
& ( ( neq(sK23,nil)
& ! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil)) )
& ? [X5] :
( sK25 = app(sK24,cons(X5,nil))
& ssItem(X5) ) )
| ( neq(sK23,nil)
& ~ neq(sK25,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ? [X5] :
( sK25 = app(sK24,cons(X5,nil))
& ssItem(X5) )
=> ( app(sK24,cons(sK26,nil)) = sK25
& ssItem(sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ssList(X3)
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssItem(X4)
| app(X0,cons(X4,nil)) != X1 )
& ? [X5] :
( app(X2,cons(X5,nil)) = X3
& ssItem(X5) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) ) ) )
& ssList(X0) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ssList(X3)
& ( ( neq(X1,nil)
& ! [X5] :
( ~ ssItem(X5)
| app(X0,cons(X5,nil)) != X1 )
& ? [X4] :
( app(X2,cons(X4,nil)) = X3
& ssItem(X4) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) ) ) ) )
& ssList(X0) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X1,nil)
& ! [X5] :
( ~ ssItem(X5)
| app(X0,cons(X5,nil)) != X1 )
& ? [X4] :
( app(X2,cons(X4,nil)) = X3
& ssItem(X4) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& X1 = X3
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ! [X4] :
( ssItem(X4)
=> app(X2,cons(X4,nil)) != X3 )
| ? [X5] :
( ssItem(X5)
& app(X0,cons(X5,nil)) = X1 )
| ~ neq(X1,nil) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) )
| X1 != X3
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ? [X4] :
( app(X0,cons(X4,nil)) = X1
& ssItem(X4) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ! [X5] :
( ssItem(X5)
=> app(X2,cons(X5,nil)) != X3 )
| ? [X4] :
( app(X0,cons(X4,nil)) = X1
& ssItem(X4) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f442,plain,
( neq(sK23,nil)
| neq(sK23,nil) ),
inference(cnf_transformation,[],[f282]) ).
fof(f437,plain,
( ~ neq(sK25,nil)
| app(sK24,cons(sK26,nil)) = sK25 ),
inference(cnf_transformation,[],[f282]) ).
fof(f610,plain,
app(sK24,cons(sK26,nil)) != sK25,
inference(resolution,[],[f609,f607]) ).
fof(f607,plain,
ssItem(sK26),
inference(subsumption_resolution,[],[f435,f605]) ).
fof(f435,plain,
( ssItem(sK26)
| ~ neq(sK25,nil) ),
inference(cnf_transformation,[],[f282]) ).
fof(f609,plain,
! [X4] :
( ~ ssItem(X4)
| app(sK24,cons(X4,nil)) != sK25 ),
inference(subsumption_resolution,[],[f568,f605]) ).
fof(f568,plain,
! [X4] :
( ~ neq(sK25,nil)
| app(sK24,cons(X4,nil)) != sK25
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f439,f444,f445]) ).
fof(f445,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f282]) ).
fof(f439,plain,
! [X4] :
( ~ ssItem(X4)
| sK23 != app(sK22,cons(X4,nil))
| ~ neq(sK25,nil) ),
inference(cnf_transformation,[],[f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.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 18:13:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (778)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (796)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)
% 0.18/0.49 % (776)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)
% 0.18/0.50 % (802)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.50 % (788)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)
% 0.18/0.50 % (780)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)
% 0.18/0.50 % (794)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)
% 0.18/0.50 % (786)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (790)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)
% 0.18/0.51 % (800)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)
% 0.18/0.51 % (783)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)
% 0.18/0.51 % (777)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)
% 0.18/0.51 % (774)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)
% 0.18/0.51 % (784)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (791)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.51 % (797)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)
% 0.18/0.51 % (792)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (801)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)
% 0.18/0.51 % (796)First to succeed.
% 0.18/0.51 % (779)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)
% 0.18/0.51 % (799)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (781)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.51 % (775)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)
% 0.18/0.52 % (803)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)
% 0.18/0.52 % (781)Instruction limit reached!
% 0.18/0.52 % (781)------------------------------
% 0.18/0.52 % (781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (795)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 % (796)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (796)------------------------------
% 0.18/0.52 % (796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (796)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (796)Memory used [KB]: 1407
% 0.18/0.52 % (796)Time elapsed: 0.088 s
% 0.18/0.52 % (796)Instructions burned: 12 (million)
% 0.18/0.52 % (796)------------------------------
% 0.18/0.52 % (796)------------------------------
% 0.18/0.52 % (773)Success in time 0.187 s
%------------------------------------------------------------------------------