TSTP Solution File: SWC013-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC013-1 : 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 : n027.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 18:41:12 EDT 2022
% Result : Unsatisfiable 1.42s 0.54s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 161 ( 31 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 202 ( 96 ~; 101 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f784,plain,
$false,
inference(avatar_sat_refutation,[],[f271,f283,f284,f403,f466,f781]) ).
fof(f781,plain,
( spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| spl2_3
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f774,f773]) ).
fof(f773,plain,
( ~ neq(nil,nil)
| spl2_3 ),
inference(superposition,[],[f262,f770]) ).
fof(f770,plain,
( nil = sk4
| spl2_3 ),
inference(subsumption_resolution,[],[f769,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f769,plain,
( ~ ssList(nil)
| nil = sk4
| spl2_3 ),
inference(subsumption_resolution,[],[f766,f189]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f766,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl2_3 ),
inference(resolution,[],[f100,f262]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f262,plain,
( ~ neq(nil,sk4)
| spl2_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl2_3
<=> neq(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f774,plain,
( neq(nil,nil)
| spl2_3
| ~ spl2_5 ),
inference(superposition,[],[f269,f770]) ).
fof(f269,plain,
( neq(sk4,nil)
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl2_5
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f466,plain,
( spl2_4
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f465,f252,f264]) ).
fof(f264,plain,
( spl2_4
<=> ssList(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f252,plain,
( spl2_1
<=> ssItem(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f465,plain,
( ssList(sF1)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f464,f8]) ).
fof(f464,plain,
( ~ ssList(nil)
| ssList(sF1)
| ~ spl2_1 ),
inference(subsumption_resolution,[],[f463,f253]) ).
fof(f253,plain,
( ssItem(sF0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f463,plain,
( ~ ssItem(sF0)
| ~ ssList(nil)
| ssList(sF1) ),
inference(superposition,[],[f86,f238]) ).
fof(f238,plain,
cons(sF0,nil) = sF1,
introduced(function_definition,[]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f403,plain,
( spl2_1
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f402,plain,
( $false
| spl2_1
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f400,f8]) ).
fof(f400,plain,
( ~ ssList(nil)
| spl2_1
| ~ spl2_5 ),
inference(resolution,[],[f391,f246]) ).
fof(f246,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f236,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( X0 != X1
| ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f391,plain,
( neq(nil,nil)
| spl2_1
| ~ spl2_5 ),
inference(superposition,[],[f269,f388]) ).
fof(f388,plain,
( nil = sk4
| spl2_1 ),
inference(subsumption_resolution,[],[f387,f189]) ).
fof(f387,plain,
( nil = sk4
| ~ ssList(sk4)
| spl2_1 ),
inference(subsumption_resolution,[],[f386,f254]) ).
fof(f254,plain,
( ~ ssItem(sF0)
| spl2_1 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f386,plain,
( nil = sk4
| ~ ssList(sk4)
| ssItem(sF0) ),
inference(superposition,[],[f78,f237]) ).
fof(f237,plain,
hd(sk4) = sF0,
introduced(function_definition,[]) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f284,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_2
| ~ spl2_5
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f241,f252,f268,f256,f264,f260]) ).
fof(f256,plain,
( spl2_2
<=> sk3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f241,plain,
( ~ ssItem(sF0)
| ~ neq(sk4,nil)
| sk3 != sF1
| ~ ssList(sF1)
| ~ neq(nil,sk4) ),
inference(definition_folding,[],[f226,f238,f237,f238,f237,f237]) ).
fof(f226,plain,
( ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ neq(sk4,nil)
| sk3 != cons(hd(sk4),nil) ),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X7] :
( ~ neq(nil,sk4)
| ~ ssItem(X7)
| ~ ssList(cons(X7,nil))
| ~ neq(sk4,nil)
| hd(sk4) != X7
| sk3 != cons(X7,nil) ),
inference(equality_resolution,[],[f202]) ).
fof(f202,plain,
! [X6,X7] :
( ~ neq(nil,sk4)
| ~ ssItem(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| cons(X7,nil) != X6
| hd(sk4) != X7
| sk3 != X6 ),
inference(definition_unfolding,[],[f197,f190,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
! [X6,X7] :
( ~ neq(nil,sk2)
| ~ ssItem(X7)
| ~ ssList(X6)
| ~ neq(sk4,nil)
| cons(X7,nil) != X6
| hd(sk2) != X7
| sk1 != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f283,plain,
spl2_5,
inference(avatar_split_clause,[],[f247,f268]) ).
fof(f247,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f198]) ).
fof(f198,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f271,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f239,f268,f264,f260,f256,f252]) ).
fof(f239,plain,
( ~ neq(sk4,nil)
| ~ ssList(sF1)
| ~ neq(nil,sk4)
| sk3 = sF1
| ~ ssItem(sF0) ),
inference(definition_folding,[],[f208,f237,f238,f237,f238,f237]) ).
fof(f208,plain,
( ~ ssList(cons(hd(sk4),nil))
| sk3 = cons(hd(sk4),nil)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X6] :
( ~ ssList(X6)
| sk3 = X6
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| cons(hd(sk4),nil) != X6
| ~ neq(nil,sk4) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,axiom,
! [X6,X7] :
( ~ ssList(X6)
| sk3 = X6
| ~ neq(sk4,nil)
| hd(sk4) != X7
| ~ ssItem(X7)
| cons(X7,nil) != X6
| ~ neq(nil,sk4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:11:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (25176)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)
% 0.19/0.49 % (25169)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)
% 0.19/0.50 % (25168)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)
% 0.19/0.50 % (25168)Refutation not found, incomplete strategy% (25168)------------------------------
% 0.19/0.50 % (25168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25177)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 % (25192)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.51 % (25175)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (25175)Instruction limit reached!
% 0.19/0.51 % (25175)------------------------------
% 0.19/0.51 % (25175)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (25175)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25175)Termination reason: Unknown
% 0.19/0.51 % (25175)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (25175)Memory used [KB]: 1151
% 0.19/0.51 % (25175)Time elapsed: 0.003 s
% 0.19/0.51 % (25175)Instructions burned: 4 (million)
% 0.19/0.51 % (25175)------------------------------
% 0.19/0.51 % (25175)------------------------------
% 0.19/0.51 % (25171)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (25168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (25168)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (25168)Memory used [KB]: 5884
% 0.19/0.51 % (25168)Time elapsed: 0.098 s
% 0.19/0.51 % (25168)Instructions burned: 10 (million)
% 0.19/0.51 % (25168)------------------------------
% 0.19/0.51 % (25168)------------------------------
% 0.19/0.51 % (25173)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 % (25185)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (25170)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)
% 0.19/0.52 % (25167)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 % (25178)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)
% 0.19/0.52 % (25182)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)
% 0.19/0.53 % (25189)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)
% 0.19/0.53 % (25196)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 % (25194)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)
% 0.19/0.53 % (25193)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 % (25195)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 % (25172)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)
% 0.19/0.53 % (25191)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.53 % (25190)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)
% 1.42/0.53 % (25186)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)
% 1.42/0.54 % (25176)Instruction limit reached!
% 1.42/0.54 % (25176)------------------------------
% 1.42/0.54 % (25176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (25192)First to succeed.
% 1.42/0.54 % (25176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (25176)Termination reason: Unknown
% 1.42/0.54 % (25176)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (25176)Memory used [KB]: 2174
% 1.42/0.54 % (25176)Time elapsed: 0.142 s
% 1.42/0.54 % (25176)Instructions burned: 51 (million)
% 1.42/0.54 % (25176)------------------------------
% 1.42/0.54 % (25176)------------------------------
% 1.42/0.54 % (25184)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.42/0.54 % (25183)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)
% 1.42/0.54 % (25188)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.42/0.54 % (25179)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 TRYING [1]
% 1.42/0.54 % (25192)Refutation found. Thanks to Tanya!
% 1.42/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.42/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.54 % (25192)------------------------------
% 1.42/0.54 % (25192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (25192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (25192)Termination reason: Refutation
% 1.42/0.54
% 1.42/0.54 % (25192)Memory used [KB]: 6012
% 1.42/0.54 % (25192)Time elapsed: 0.136 s
% 1.42/0.54 % (25192)Instructions burned: 27 (million)
% 1.42/0.54 % (25192)------------------------------
% 1.42/0.54 % (25192)------------------------------
% 1.42/0.54 % (25164)Success in time 0.193 s
%------------------------------------------------------------------------------