%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC070-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:02:18 PM UTC 2026
% Result : Unsatisfiable 2.91s 1.39s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 25
% Syntax : Number of formulae : 85 ( 19 unt; 9 def)
% Number of atoms : 201 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 221 ( 105 ~; 107 |; 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f143,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk3
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f243,definition,
( spl0_1
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f245,plain,
( frontsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f247,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f250,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f211,f247,f243]) ).
fof(f252,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f254,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f255,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f247,f252]) ).
fof(f257,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f257,f243]) ).
fof(f261,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f257,f252]) ).
fof(f263,definition,
( spl0_5
<=> nil = sk1 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f265,plain,
( nil != sk1
| spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl0_6
<=> nil = sk2 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( nil != sk2
| spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f207,f267,f263]) ).
fof(f276,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f277,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f312,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f276]) ).
fof(f319,plain,
( nil != sk4
| spl0_6 ),
inference(forward_demodulation,[],[f269,f204]) ).
fof(f324,plain,
( ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f319,f267,f257]) ).
fof(f325,plain,
! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk1,X0) ),
inference(forward_demodulation,[],[f206,f204]) ).
fof(f326,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(forward_demodulation,[],[f325,f205]) ).
fof(f334,plain,
( ~ segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f326,f254]) ).
fof(f335,plain,
( ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f334,f202]) ).
fof(f337,definition,
( spl0_16
<=> segmentP(sk3,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f338,plain,
( segmentP(sk3,sk3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f339,plain,
( ~ segmentP(sk3,sk3)
| spl0_16 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f341,definition,
( spl0_17
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f343,plain,
( ~ segmentP(sk4,sk3)
| spl0_17 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f335,f252,f341,f337]) ).
fof(f345,plain,
( ~ ssList(sk3)
| spl0_16 ),
inference(resolution,[],[f57,f339]) ).
fof(f346,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f345,f202]) ).
fof(f347,plain,
spl0_16,
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f446,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(resolution,[],[f143,f245]) ).
fof(f453,plain,
( ~ ssList(sk4)
| sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f446,f202]) ).
fof(f455,plain,
( sk4 = app(sk3,skaf45(sk4,sk3))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f453,f203]) ).
fof(f659,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssList(sk3)
| segmentP(app(app(X1,sk3),X0),sk3) )
| ~ spl0_16 ),
inference(resolution,[],[f186,f338]) ).
fof(f660,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sk3)
| segmentP(app(app(X1,sk3),X0),sk3) )
| ~ spl0_16 ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f664,plain,
( ! [X0,X1] :
( segmentP(app(app(X1,sk3),X0),sk3)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f660,f202]) ).
fof(f819,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3) )
| ~ spl0_16 ),
inference(superposition,[],[f664,f74]) ).
fof(f825,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0)
| ~ ssList(sk3) )
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f819,f277]) ).
fof(f829,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_8
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f825,f202]) ).
fof(f978,plain,
( nil != sk3
| spl0_5 ),
inference(forward_demodulation,[],[f265,f205]) ).
fof(f991,plain,
( ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f978,f263,f247]) ).
fof(f1103,plain,
( segmentP(sk4,sk3)
| ~ ssList(skaf45(sk4,sk3))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f829,f455]) ).
fof(f1104,plain,
( ~ ssList(skaf45(sk4,sk3))
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1103,f343]) ).
fof(f1109,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1104,f51]) ).
fof(f1110,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1109]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f250]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f255]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f260]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s5,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s15,plain,
spl0_8,
inference(sat_conversion,[],[f312]) ).
cnf(s19,plain,
( ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f324]) ).
cnf(s21,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f344]) ).
cnf(s22,plain,
spl0_16,
inference(sat_conversion,[],[f347]) ).
cnf(s43,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f991]) ).
cnf(s57,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_17 ),
inference(rat,[],[s21,s22]) ).
cnf(s69,plain,
spl0_1,
inference(rat,[],[s5,s43,s19,s1,s3]) ).
cnf(s70,plain,
spl0_17,
inference(rat,[],[s57,s15,s22,s69]) ).
cnf(s71,plain,
~ spl0_3,
inference(rat,[],[s64,s70]) ).
cnf(s72,plain,
spl0_4,
inference(rat,[],[s4,s71]) ).
cnf(s73,plain,
spl0_2,
inference(rat,[],[s2,s71]) ).
cnf(s74,plain,
spl0_6,
inference(rat,[],[s19,s72]) ).
cnf(s78,plain,
spl0_5,
inference(rat,[],[s43,s73]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s5,s74,s78]) ).
fof(f1111,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC070-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n009.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 28 07:43:15 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/1.39 % (2866455)Input is clausal, will run a generic CNF schedule.
% 2.91/1.39 % (2866552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2327311883:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.91/1.39 % (2866555)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=283109117:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.91/1.39 % (2866551)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1999138630:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.91/1.39 % (2866553)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=478035133:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.91/1.39 % (2866554)lrs+10_1_sil=8000:sp=occurrence:random_seed=622871385:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.91/1.39 % (2866557)dis-21_1_sil=8000:lcm=predicate:random_seed=1513203142:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.91/1.39 % (2866556)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4232784984:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.91/1.39 % (2866556)First to succeed.
% 2.91/1.39 % (2866556)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2866455"
% 2.91/1.39 % (2866557)Instruction limit reached!
% 2.91/1.39 % (2866557)------------------------------
% 2.91/1.39 % (2866557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.39 % (2866557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.39 % (2866557)CaDiCaL version: 2.1.3
% 2.91/1.39 % (2866557)Termination reason: Instruction limit
% 2.91/1.39 % (2866557)Termination phase: Saturation
% 2.91/1.39 % (2866557)Time elapsed: 0.052 s
% 2.91/1.39 % (2866557)Peak memory usage: 88 MB
% 2.91/1.39 % (2866557)Instructions burned: 119 (million)
% 2.91/1.39 % (2866555)Instruction limit reached!
% 2.91/1.39 % (2866555)------------------------------
% 2.91/1.39 % (2866555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.39 % (2866555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.39 % (2866555)CaDiCaL version: 2.1.3
% 2.91/1.39 % (2866555)Termination reason: Instruction limit
% 2.91/1.39 % (2866555)Termination phase: Saturation
% 2.91/1.39 % (2866555)Time elapsed: 0.058 s
% 2.91/1.39 % (2866555)Peak memory usage: 88 MB
% 2.91/1.39 % (2866555)Instructions burned: 114 (million)
% 2.91/1.39 % (2866554)Instruction limit reached!
% 2.91/1.39 % (2866554)------------------------------
% 2.91/1.39 % (2866554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.91/1.39 % (2866554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.91/1.39 % (2866554)CaDiCaL version: 2.1.3
% 2.91/1.39 % (2866554)Termination reason: Instruction limit
% 2.91/1.39 % (2866554)Termination phase: Saturation
% 2.91/1.39 % (2866554)Time elapsed: 0.067 s
% 2.91/1.39 % (2866554)Peak memory usage: 89 MB
% 2.91/1.39 % (2866554)Instructions burned: 107 (million)
% 2.91/1.39 % (2866576)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3157939630:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.91/1.39 % (2866577)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=670490881:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.91/1.39 % (2866575)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2418733979:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.91/1.39 % (2866556)Refutation found. Thanks to Tanya!
% 2.91/1.39 % SZS status Unsatisfiable for theBenchmark
% 2.91/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.61 % (2866556)------------------------------
% 0.17/1.61 % (2866556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.61 % (2866556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.61 % (2866556)CaDiCaL version: 2.1.3
% 0.17/1.61 % (2866556)Termination reason: Refutation
% 0.17/1.61 % (2866556)Time elapsed: 0.026 s
% 0.17/1.61 % (2866556)Peak memory usage: 90 MB
% 0.17/1.61 % (2866556)Instructions burned: 31 (million)
% 0.17/1.61 % (2866556)------------------------------
% 0.17/1.61 % (2866556)------------------------------
% 0.17/1.61 % (2866455)Success in time 0.533 s
% 0.17/1.61 % Vampire exiting
%------------------------------------------------------------------------------