TSTP Solution File: SWC106-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC106-1 : 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 : n014.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 18:41:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 25
% Syntax : Number of formulae : 51 ( 11 unt; 0 def)
% Number of atoms : 119 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 57 ~; 57 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1071,plain,
$false,
inference(avatar_sat_refutation,[],[f274,f291,f296,f305,f310,f317,f491,f560,f562,f782,f783,f1070]) ).
fof(f1070,plain,
( ~ spl1_39
| ~ spl1_25
| spl1_10
| ~ spl1_13
| ~ spl1_14
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f1043,f314,f307,f302,f288,f557,f704]) ).
fof(f704,plain,
( spl1_39
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_39])]) ).
fof(f557,plain,
( spl1_25
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_25])]) ).
fof(f288,plain,
( spl1_10
<=> rearsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f302,plain,
( spl1_13
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).
fof(f307,plain,
( spl1_14
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_14])]) ).
fof(f314,plain,
( spl1_15
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_15])]) ).
fof(f1043,plain,
( ~ ssList(sk6)
| rearsegP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ spl1_14
| ~ spl1_15 ),
inference(superposition,[],[f215,f324]) ).
fof(f324,plain,
( sk4 = app(sk6,sk3)
| ~ spl1_14
| ~ spl1_15 ),
inference(forward_demodulation,[],[f316,f309]) ).
fof(f309,plain,
( sk3 = cons(sk5,nil)
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f316,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f215,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f783,plain,
spl1_8,
inference(avatar_split_clause,[],[f243,f280]) ).
fof(f280,plain,
( spl1_8
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
fof(f243,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f207]) ).
fof(f207,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f782,plain,
spl1_39,
inference(avatar_split_clause,[],[f189,f704]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f562,plain,
spl1_25,
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| spl1_25 ),
inference(resolution,[],[f559,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f559,plain,
( ~ ssList(sk3)
| spl1_25 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f560,plain,
( ~ spl1_25
| spl1_23
| ~ spl1_1
| spl1_9 ),
inference(avatar_split_clause,[],[f551,f284,f248,f488,f557]) ).
fof(f488,plain,
( spl1_23
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl1_23])]) ).
fof(f248,plain,
( spl1_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f284,plain,
( spl1_9
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
fof(f551,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl1_9 ),
inference(resolution,[],[f100,f286]) ).
fof(f286,plain,
( ~ neq(sk3,nil)
| spl1_9 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f491,plain,
( ~ spl1_1
| ~ spl1_11
| ~ spl1_23
| ~ spl1_14 ),
inference(avatar_split_clause,[],[f486,f307,f488,f293,f248]) ).
fof(f293,plain,
( spl1_11
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f486,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl1_14 ),
inference(superposition,[],[f98,f309]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f317,plain,
( spl1_15
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f202,f280,f314]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk4 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f310,plain,
( spl1_14
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f201,f280,f307]) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f305,plain,
( ~ spl1_8
| spl1_13 ),
inference(avatar_split_clause,[],[f200,f302,f280]) ).
fof(f200,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f296,plain,
( spl1_11
| ~ spl1_8 ),
inference(avatar_split_clause,[],[f199,f280,f293]) ).
fof(f199,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f291,plain,
( ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f211,f288,f284,f280]) ).
fof(f211,plain,
( ~ rearsegP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f203,f191,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f203,axiom,
( ~ neq(sk1,nil)
| ~ rearsegP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f274,plain,
spl1_1,
inference(avatar_split_clause,[],[f8,f248]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC106-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:25:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.50 % (18644)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)
% 0.20/0.51 % (18651)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (18650)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)
% 0.20/0.51 % (18662)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (18649)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (18649)Instruction limit reached!
% 0.20/0.51 % (18649)------------------------------
% 0.20/0.51 % (18649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18649)Termination reason: Unknown
% 0.20/0.51 % (18649)Termination phase: Function definition elimination
% 0.20/0.51
% 0.20/0.51 % (18649)Memory used [KB]: 1023
% 0.20/0.51 % (18649)Time elapsed: 0.002 s
% 0.20/0.51 % (18649)Instructions burned: 2 (million)
% 0.20/0.51 % (18649)------------------------------
% 0.20/0.51 % (18649)------------------------------
% 0.20/0.51 % (18645)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (18643)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)
% 0.20/0.52 % (18669)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (18656)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)
% 0.20/0.52 % (18664)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)
% 0.20/0.52 % (18666)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (18663)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)
% 0.20/0.52 % (18641)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)
% 0.20/0.52 % (18648)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (18658)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (18665)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (18652)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)
% 0.20/0.53 % (18659)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (18660)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)
% 0.20/0.53 % (18642)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)
% 0.20/0.54 % (18668)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)
% 0.20/0.54 % (18667)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)
% 0.20/0.54 % (18646)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)
% 0.20/0.54 % (18647)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)
% 0.20/0.54 % (18648)Instruction limit reached!
% 0.20/0.54 % (18648)------------------------------
% 0.20/0.54 % (18648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18648)Termination reason: Unknown
% 0.20/0.54 % (18648)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (18648)Memory used [KB]: 5628
% 0.20/0.54 % (18648)Time elapsed: 0.086 s
% 0.20/0.54 % (18648)Instructions burned: 7 (million)
% 0.20/0.54 % (18648)------------------------------
% 0.20/0.54 % (18648)------------------------------
% 0.20/0.54 % (18670)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)
% 0.20/0.54 % (18657)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)
% 0.20/0.54 % (18654)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (18653)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (18661)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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (18651)First to succeed.
% 0.20/0.56 % (18651)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (18651)------------------------------
% 0.20/0.56 % (18651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (18651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (18651)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (18651)Memory used [KB]: 6396
% 0.20/0.56 % (18651)Time elapsed: 0.157 s
% 0.20/0.56 % (18651)Instructions burned: 32 (million)
% 0.20/0.56 % (18651)------------------------------
% 0.20/0.56 % (18651)------------------------------
% 0.20/0.56 % (18640)Success in time 0.201 s
%------------------------------------------------------------------------------