TSTP Solution File: SWC288+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC288+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 : n005.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 18:42:55 EDT 2022
% Result : Theorem 1.75s 0.64s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 8 unt; 0 def)
% Number of atoms : 116 ( 32 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 123 ( 41 ~; 43 |; 24 &)
% ( 4 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 19 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f559,plain,
$false,
inference(avatar_sat_refutation,[],[f511,f543,f547,f556,f558]) ).
fof(f558,plain,
~ spl57_13,
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f557,plain,
( $false
| ~ spl57_13 ),
inference(resolution,[],[f555,f319]) ).
fof(f319,plain,
~ strictorderedP(sK19),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ~ strictorderedP(X0)
& X0 = X2
& ( ( nil = X3
& nil = X2 )
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ! [X7] :
( ~ memberP(X5,X7)
| ~ ssItem(X7)
| ~ lt(X4,X7) ) ) ) ) )
& ssList(X3) ) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ~ ssList(X3)
| X0 != X2
| strictorderedP(X0)
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6)
| ? [X8] :
( memberP(X6,X8)
& ssItem(X8)
& lt(X8,X4) )
| ? [X7] :
( ssItem(X7)
& lt(X4,X7)
& memberP(X5,X7) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ~ ssList(X3)
| X0 != X2
| strictorderedP(X0)
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6)
| ? [X8] :
( memberP(X6,X8)
& ssItem(X8)
& lt(X8,X4) )
| ? [X7] :
( ssItem(X7)
& lt(X4,X7)
& memberP(X5,X7) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f555,plain,
( strictorderedP(sK19)
| ~ spl57_13 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl57_13
<=> strictorderedP(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_13])]) ).
fof(f556,plain,
( ~ spl57_12
| spl57_13
| ~ spl57_7 ),
inference(avatar_split_clause,[],[f551,f508,f553,f539]) ).
fof(f539,plain,
( spl57_12
<=> ssItem(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl57_12])]) ).
fof(f508,plain,
( spl57_7
<=> sF56 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_7])]) ).
fof(f551,plain,
( strictorderedP(sK19)
| ~ ssItem(sK23)
| ~ spl57_7 ),
inference(forward_demodulation,[],[f550,f510]) ).
fof(f510,plain,
( sF56 = sK19
| ~ spl57_7 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f550,plain,
( ~ ssItem(sK23)
| strictorderedP(sF56) ),
inference(superposition,[],[f250,f470]) ).
fof(f470,plain,
cons(sK23,nil) = sF56,
introduced(function_definition,[]) ).
fof(f250,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f547,plain,
~ spl57_2,
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl57_2 ),
inference(resolution,[],[f545,f407]) ).
fof(f407,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f545,plain,
( ~ strictorderedP(nil)
| ~ spl57_2 ),
inference(superposition,[],[f319,f488]) ).
fof(f488,plain,
( nil = sK19
| ~ spl57_2 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f486,plain,
( spl57_2
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl57_2])]) ).
fof(f543,plain,
( spl57_12
| spl57_2 ),
inference(avatar_split_clause,[],[f433,f486,f539]) ).
fof(f433,plain,
( nil = sK19
| ssItem(sK23) ),
inference(definition_unfolding,[],[f316,f318]) ).
fof(f318,plain,
sK21 = sK19,
inference(cnf_transformation,[],[f219]) ).
fof(f316,plain,
( ssItem(sK23)
| nil = sK21 ),
inference(cnf_transformation,[],[f219]) ).
fof(f511,plain,
( spl57_2
| spl57_7 ),
inference(avatar_split_clause,[],[f471,f508,f486]) ).
fof(f471,plain,
( sF56 = sK19
| nil = sK19 ),
inference(definition_folding,[],[f437,f470]) ).
fof(f437,plain,
( cons(sK23,nil) = sK19
| nil = sK19 ),
inference(definition_unfolding,[],[f310,f318,f318]) ).
fof(f310,plain,
( sK21 = cons(sK23,nil)
| nil = sK21 ),
inference(cnf_transformation,[],[f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % 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 : n005.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
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:44:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.47/0.56 % (8916)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.57 % (8908)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)
% 1.47/0.57 % (8916)Instruction limit reached!
% 1.47/0.57 % (8916)------------------------------
% 1.47/0.57 % (8916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (8916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (8916)Termination reason: Unknown
% 1.47/0.57 % (8916)Termination phase: shuffling
% 1.47/0.57
% 1.47/0.57 % (8916)Memory used [KB]: 1023
% 1.47/0.57 % (8916)Time elapsed: 0.004 s
% 1.47/0.57 % (8916)Instructions burned: 3 (million)
% 1.47/0.57 % (8916)------------------------------
% 1.47/0.57 % (8916)------------------------------
% 1.47/0.57 % (8917)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)
% 1.75/0.58 % (8924)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)
% 1.75/0.58 % (8914)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)
% 1.75/0.58 % (8909)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)
% 1.75/0.58 % (8911)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)
% 1.75/0.58 % (8910)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)
% 1.75/0.59 % (8913)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)
% 1.75/0.59 % (8933)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.75/0.60 % (8912)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.60 % (8918)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.75/0.61 % (8931)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)
% 1.75/0.61 % (8929)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.75/0.61 % (8937)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)
% 1.75/0.61 % (8921)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.75/0.62 % (8923)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)
% 1.75/0.62 % (8911)First to succeed.
% 1.75/0.62 % (8922)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)
% 1.75/0.62 % (8934)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)
% 1.75/0.62 % (8915)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.75/0.62 % (8935)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)
% 1.75/0.62 % (8930)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)
% 1.75/0.62 % (8915)Instruction limit reached!
% 1.75/0.62 % (8915)------------------------------
% 1.75/0.62 % (8915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.62 % (8915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.62 % (8915)Termination reason: Unknown
% 1.75/0.62 % (8915)Termination phase: Property scanning
% 1.75/0.62
% 1.75/0.62 % (8915)Memory used [KB]: 1279
% 1.75/0.62 % (8915)Time elapsed: 0.007 s
% 1.75/0.62 % (8915)Instructions burned: 7 (million)
% 1.75/0.62 % (8915)------------------------------
% 1.75/0.62 % (8915)------------------------------
% 1.75/0.62 % (8928)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)
% 1.75/0.62 TRYING [1]
% 1.75/0.63 % (8926)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.75/0.63 % (8927)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)
% 1.75/0.63 TRYING [2]
% 1.75/0.63 % (8936)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.75/0.63 % (8932)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.75/0.63 % (8925)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.75/0.63 % (8920)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.75/0.64 % (8919)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)
% 1.75/0.64 % (8917)Also succeeded, but the first one will report.
% 1.75/0.64 % (8911)Refutation found. Thanks to Tanya!
% 1.75/0.64 % SZS status Theorem for theBenchmark
% 1.75/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.64 % (8911)------------------------------
% 1.75/0.64 % (8911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.64 % (8911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.64 % (8911)Termination reason: Refutation
% 1.75/0.64
% 1.75/0.64 % (8911)Memory used [KB]: 5884
% 1.75/0.64 % (8911)Time elapsed: 0.188 s
% 1.75/0.64 % (8911)Instructions burned: 14 (million)
% 1.75/0.64 % (8911)------------------------------
% 1.75/0.64 % (8911)------------------------------
% 1.75/0.64 % (8907)Success in time 0.284 s
%------------------------------------------------------------------------------