TSTP Solution File: SWC330-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC330-1 : 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 : n002.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 18:43:12 EDT 2022
% Result : Unsatisfiable 0.16s 0.59s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 66 ( 8 unt; 0 def)
% Number of atoms : 164 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 171 ( 73 ~; 89 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(avatar_sat_refutation,[],[f257,f266,f276,f286,f287,f288,f302,f304,f305,f312,f315,f358,f530]) ).
fof(f530,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f529,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f528,f188]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f528,plain,
( ~ ssList(sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f527,f256]) ).
fof(f256,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl0_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f527,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f526,f297]) ).
fof(f297,plain,
( ~ segmentP(sk4,sk3)
| spl0_12 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl0_12
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f526,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk6)
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f525,f208]) ).
fof(f208,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f525,plain,
( ~ ssList(sk4)
| ~ ssList(sk6)
| segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f522,f265]) ).
fof(f265,plain,
( ssList(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl0_6
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f522,plain,
( ~ ssList(sk7)
| ~ ssList(sk3)
| ~ ssList(sk6)
| segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ spl0_10 ),
inference(superposition,[],[f225,f285]) ).
fof(f285,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl0_10
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f225,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| app(app(X0,X1),X2) != X3
| segmentP(X3,X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f358,plain,
( ~ spl0_5
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f357,plain,
( $false
| ~ spl0_5
| spl0_13 ),
inference(subsumption_resolution,[],[f354,f1]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f354,plain,
( ~ equalelemsP(nil)
| ~ spl0_5
| spl0_13 ),
inference(backward_demodulation,[],[f301,f261]) ).
fof(f261,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl0_5
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f301,plain,
( ~ equalelemsP(sk3)
| spl0_13 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl0_13
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f315,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f314,f290,f245,f299]) ).
fof(f245,plain,
( spl0_2
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f290,plain,
( spl0_11
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f314,plain,
( equalelemsP(sk3)
| ~ spl0_2
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f313,f247]) ).
fof(f247,plain,
( ssItem(sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f313,plain,
( ~ ssItem(sk5)
| equalelemsP(sk3)
| ~ spl0_11 ),
inference(superposition,[],[f64,f292]) ).
fof(f292,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f312,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_12 ),
inference(unit_resulting_resolution,[],[f8,f309,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f309,plain,
( ~ segmentP(nil,nil)
| ~ spl0_1
| ~ spl0_5
| spl0_12 ),
inference(backward_demodulation,[],[f307,f261]) ).
fof(f307,plain,
( ~ segmentP(nil,sk3)
| ~ spl0_1
| spl0_12 ),
inference(backward_demodulation,[],[f297,f243]) ).
fof(f243,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f305,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f202,f259,f290]) ).
fof(f202,axiom,
( nil = sk3
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f304,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f203,f259,f283]) ).
fof(f203,axiom,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f302,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f209,f299,f295]) ).
fof(f209,plain,
( ~ equalelemsP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f206,f191,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,axiom,
( ~ equalelemsP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f288,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f193,f259,f245]) ).
fof(f193,axiom,
( nil = sk3
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f287,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f195,f241,f263]) ).
fof(f195,axiom,
( nil = sk4
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f286,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f197,f283,f241]) ).
fof(f197,axiom,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f276,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f200,f254,f259]) ).
fof(f200,axiom,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f266,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f263,f259]) ).
fof(f201,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f257,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f194,f241,f254]) ).
fof(f194,axiom,
( nil = sk4
| ssList(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWC330-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 30 18:59:44 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.16/0.47 % (17492)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)
% 0.16/0.47 % (17507)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.47 % (17497)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)
% 0.16/0.48 % (17496)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.48 % (17500)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)
% 0.16/0.48 % (17513)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)
% 0.16/0.48 % (17508)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)
% 0.16/0.50 % (17505)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)
% 0.16/0.50 % (17515)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)
% 0.16/0.51 TRYING [1]
% 0.16/0.51 TRYING [2]
% 0.16/0.53 % (17487)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)
% 0.16/0.53 % (17490)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.53 % (17498)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.53 % (17493)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.53 % (17491)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)
% 0.16/0.54 % (17493)Instruction limit reached!
% 0.16/0.54 % (17493)------------------------------
% 0.16/0.54 % (17493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (17493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (17493)Termination reason: Unknown
% 0.16/0.54 % (17493)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (17493)Memory used [KB]: 5628
% 0.16/0.54 % (17493)Time elapsed: 0.158 s
% 0.16/0.54 % (17493)Instructions burned: 7 (million)
% 0.16/0.54 % (17493)------------------------------
% 0.16/0.54 % (17493)------------------------------
% 0.16/0.54 % (17512)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)
% 0.16/0.54 % (17514)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54 % (17504)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.54 % (17494)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.54 % (17509)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)
% 0.16/0.54 % (17501)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)
% 0.16/0.54 % (17494)Instruction limit reached!
% 0.16/0.54 % (17494)------------------------------
% 0.16/0.54 % (17494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (17494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (17494)Termination reason: Unknown
% 0.16/0.54 % (17494)Termination phase: Property scanning
% 0.16/0.54
% 0.16/0.54 % (17494)Memory used [KB]: 1151
% 0.16/0.54 % (17494)Time elapsed: 0.003 s
% 0.16/0.54 % (17494)Instructions burned: 3 (million)
% 0.16/0.54 % (17494)------------------------------
% 0.16/0.54 % (17494)------------------------------
% 0.16/0.55 % (17510)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.55 % (17492)Instruction limit reached!
% 0.16/0.55 % (17492)------------------------------
% 0.16/0.55 % (17492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (17506)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)
% 0.16/0.55 % (17499)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.55 % (17492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (17492)Termination reason: Unknown
% 0.16/0.55 % (17492)Termination phase: Finite model building SAT solving
% 0.16/0.55
% 0.16/0.55 % (17492)Memory used [KB]: 7164
% 0.16/0.55 % (17492)Time elapsed: 0.140 s
% 0.16/0.55 % (17492)Instructions burned: 51 (million)
% 0.16/0.55 % (17492)------------------------------
% 0.16/0.55 % (17492)------------------------------
% 0.16/0.55 % (17502)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)
% 0.16/0.57 % (17488)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)
% 0.16/0.57 % (17486)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)
% 0.16/0.58 % (17496)Instruction limit reached!
% 0.16/0.58 % (17496)------------------------------
% 0.16/0.58 % (17496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58 % (17487)First to succeed.
% 0.16/0.59 % (17487)Refutation found. Thanks to Tanya!
% 0.16/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.59 % (17487)------------------------------
% 0.16/0.59 % (17487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.59 % (17487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.59 % (17487)Termination reason: Refutation
% 0.16/0.59
% 0.16/0.59 % (17487)Memory used [KB]: 6012
% 0.16/0.59 % (17487)Time elapsed: 0.209 s
% 0.16/0.59 % (17487)Instructions burned: 21 (million)
% 0.16/0.59 % (17487)------------------------------
% 0.16/0.59 % (17487)------------------------------
% 0.16/0.59 % (17485)Success in time 0.263 s
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