TSTP Solution File: SWC040+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC040+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 : n009.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 18:41:21 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 221 ( 124 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 249 ( 55 ~; 40 |; 134 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 60 ( 12 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f660,plain,
$false,
inference(avatar_sat_refutation,[],[f604,f633,f657]) ).
fof(f657,plain,
~ spl59_1,
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl59_1 ),
inference(trivial_inequality_removal,[],[f654]) ).
fof(f654,plain,
( nil != nil
| ~ spl59_1 ),
inference(backward_demodulation,[],[f437,f652]) ).
fof(f652,plain,
( nil = sK22
| ~ spl59_1 ),
inference(forward_demodulation,[],[f599,f436]) ).
fof(f436,plain,
sK24 = sK22,
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ssList(sK23)
& nil != sK22
& sK24 = sK22
& sK23 = sK25
& ( ( ssItem(sK26)
& ssList(sK27)
& app(sK27,cons(sK26,nil)) = sK25
& sK24 = app(cons(sK26,nil),sK27) )
| ~ neq(sK25,nil) )
& ssList(sK25)
& ( nil = sK24
| nil != sK25 )
& nil = sK23
& ssList(sK24)
& ssList(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27])],[f207,f282,f281,f280,f279,f278,f277]) ).
fof(f277,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( nil != X0
& X0 = X2
& X1 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = X1 )
& ssList(X2) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( nil != sK22
& sK22 = X2
& X1 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = X1 )
& ssList(X2) ) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( nil != sK22
& sK22 = X2
& X1 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = X1 )
& ssList(X2) ) )
=> ( ssList(sK23)
& ? [X2] :
( ? [X3] :
( nil != sK22
& sK22 = X2
& sK23 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = sK23 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X2] :
( ? [X3] :
( nil != sK22
& sK22 = X2
& sK23 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = sK23 )
& ssList(X2) )
=> ( ? [X3] :
( nil != sK22
& sK24 = sK22
& sK23 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK24 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = sK24
| nil != X3 )
& nil = sK23 )
& ssList(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X3] :
( nil != sK22
& sK24 = sK22
& sK23 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK24 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = sK24
| nil != X3 )
& nil = sK23 )
=> ( nil != sK22
& sK24 = sK22
& sK23 = sK25
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK25
& app(cons(X4,nil),X5) = sK24 ) )
| ~ neq(sK25,nil) )
& ssList(sK25)
& ( nil = sK24
| nil != sK25 )
& nil = sK23 ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = sK25
& app(cons(X4,nil),X5) = sK24 ) )
=> ( ssItem(sK26)
& ? [X5] :
( ssList(X5)
& sK25 = app(X5,cons(sK26,nil))
& app(cons(sK26,nil),X5) = sK24 ) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
( ? [X5] :
( ssList(X5)
& sK25 = app(X5,cons(sK26,nil))
& app(cons(sK26,nil),X5) = sK24 )
=> ( ssList(sK27)
& app(sK27,cons(sK26,nil)) = sK25
& sK24 = app(cons(sK26,nil),sK27) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( nil != X0
& X0 = X2
& X1 = X3
& ( ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2 ) )
| ~ neq(X3,nil) )
& ssList(X3)
& ( nil = X2
| nil != X3 )
& nil = X1 )
& ssList(X2) ) )
& ssList(X0) ),
inference(flattening,[],[f206]) ).
fof(f206,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( nil = X1
& ( nil = X2
| nil != X3 )
& X1 = X3
& ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& nil != X0
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| ( nil = X3
& nil != X2 )
| X1 != X3
| ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| nil = X0
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( nil != X1
| ( nil = X3
& nil != X2 )
| X1 != X3
| ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| nil = X0
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f599,plain,
( nil = sK24
| ~ spl59_1 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f597,plain,
( spl59_1
<=> nil = sK24 ),
introduced(avatar_definition,[new_symbols(naming,[spl59_1])]) ).
fof(f437,plain,
nil != sK22,
inference(cnf_transformation,[],[f283]) ).
fof(f633,plain,
spl59_2,
inference(avatar_split_clause,[],[f632,f601]) ).
fof(f601,plain,
( spl59_2
<=> nil = sK25 ),
introduced(avatar_definition,[new_symbols(naming,[spl59_2])]) ).
fof(f632,plain,
nil = sK25,
inference(backward_demodulation,[],[f435,f428]) ).
fof(f428,plain,
nil = sK23,
inference(cnf_transformation,[],[f283]) ).
fof(f435,plain,
sK23 = sK25,
inference(cnf_transformation,[],[f283]) ).
fof(f604,plain,
( spl59_1
| ~ spl59_2 ),
inference(avatar_split_clause,[],[f429,f601,f597]) ).
fof(f429,plain,
( nil != sK25
| nil = sK24 ),
inference(cnf_transformation,[],[f283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC040+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % 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 : n009.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 18:02:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.50 % (27953)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (27943)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)
% 0.19/0.50 % (27955)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (27966)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)
% 0.19/0.51 % (27950)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 % (27961)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (27972)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)
% 0.19/0.51 % (27950)Instruction limit reached!
% 0.19/0.51 % (27950)------------------------------
% 0.19/0.51 % (27950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (27958)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)
% 0.19/0.51 % (27950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (27950)Termination reason: Unknown
% 0.19/0.51 % (27950)Termination phase: Function definition elimination
% 0.19/0.51
% 0.19/0.51 % (27950)Memory used [KB]: 1279
% 0.19/0.51 % (27950)Time elapsed: 0.006 s
% 0.19/0.51 % (27950)Instructions burned: 8 (million)
% 0.19/0.51 % (27950)------------------------------
% 0.19/0.51 % (27950)------------------------------
% 0.19/0.52 % (27947)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (27945)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)
% 0.19/0.52 % (27972)First to succeed.
% 0.19/0.52 % (27944)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)
% 0.19/0.52 % (27946)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)
% 0.19/0.53 % (27954)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (27956)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 % (27959)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)
% 0.19/0.53 % (27949)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)
% 0.19/0.53 % (27960)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (27970)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 % (27957)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)
% 0.19/0.54 % (27971)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (27969)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)
% 0.19/0.54 % (27951)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (27965)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)
% 0.19/0.54 % (27951)Instruction limit reached!
% 0.19/0.54 % (27951)------------------------------
% 0.19/0.54 % (27951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (27951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (27951)Termination reason: Unknown
% 0.19/0.54 % (27951)Termination phase: Naming
% 0.19/0.54
% 0.19/0.54 % (27951)Memory used [KB]: 1023
% 0.19/0.54 % (27951)Time elapsed: 0.004 s
% 0.19/0.54 % (27951)Instructions burned: 3 (million)
% 0.19/0.54 % (27951)------------------------------
% 0.19/0.54 % (27951)------------------------------
% 0.19/0.54 % (27952)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)
% 0.19/0.54 % (27963)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 % (27968)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.54 % (27948)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 % (27962)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 % (27972)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (27972)------------------------------
% 0.19/0.55 % (27972)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (27972)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (27972)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (27972)Memory used [KB]: 6012
% 0.19/0.55 % (27972)Time elapsed: 0.012 s
% 0.19/0.55 % (27972)Instructions burned: 15 (million)
% 0.19/0.55 % (27972)------------------------------
% 0.19/0.55 % (27972)------------------------------
% 0.19/0.55 % (27942)Success in time 0.202 s
%------------------------------------------------------------------------------