%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC071-1 : 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 : n017.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 3.26s 1.22s
% Output : Refutation 3.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 23
% Syntax : Number of formulae : 75 ( 11 unt; 7 def)
% Number of atoms : 210 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 256 ( 121 ~; 128 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f100,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f187,axiom,
! [X2,X3,X0,X1] :
( app(app(X0,X1),X2) != X3
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| segmentP(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
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,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f212,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f212]) ).
fof(f218,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f222,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f223,plain,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
inference(reorient_equations,[],[f222]) ).
fof(f228,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f229,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f230,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f245,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( nil != sk3
| spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f257,definition,
( spl0_4
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f259,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f223,f257,f245]) ).
fof(f262,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f264,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f267,definition,
( spl0_6
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( ssList(sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f219,f267,f245]) ).
fof(f272,definition,
( spl0_7
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f274,plain,
( ssList(sk6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f218,f272,f245]) ).
fof(f277,definition,
( spl0_8
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f283,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f213,f262,f277]) ).
fof(f287,definition,
( spl0_9
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f289,plain,
( ssItem(sk5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f208,f287,f277]) ).
fof(f292,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f229,f277,f245]) ).
fof(f319,plain,
( nil != sk3
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_5 ),
inference(superposition,[],[f100,f264]) ).
fof(f324,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(resolution,[],[f102,f228]) ).
fof(f329,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil = X0
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(duplicate_literal_removal,[],[f324]) ).
fof(f330,plain,
! [X0] :
( ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f329,f8]) ).
fof(f801,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ spl0_4 ),
inference(superposition,[],[f230,f259]) ).
fof(f805,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f801,f274]) ).
fof(f815,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f805,f202]) ).
fof(f824,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk7)
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f815,f203]) ).
fof(f825,plain,
( segmentP(sk4,sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f824,f269]) ).
fof(f826,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f825,f330]) ).
fof(f830,plain,
( ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f826,f246]) ).
fof(f832,plain,
( ~ segmentP(sk3,sk3)
| spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f830,f202]) ).
fof(f838,plain,
( ~ ssList(sk3)
| spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f832,f57]) ).
fof(f839,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f838,f202]) ).
fof(f840,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f842,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f319,f247]) ).
fof(f844,plain,
( ~ ssList(nil)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f842,f289]) ).
fof(f847,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f844,f8]) ).
fof(f848,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f847]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f260]) ).
cnf(s5,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s6,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f275]) ).
cnf(s10,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f283]) ).
cnf(s14,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f291]) ).
cnf(s15,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f292]) ).
cnf(s24,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f840]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f848]) ).
cnf(s27,plain,
spl0_1,
inference(rat,[],[s24,s3,s5,s6]) ).
cnf(s28,plain,
~ spl0_8,
inference(rat,[],[s15,s27]) ).
cnf(s30,plain,
spl0_9,
inference(rat,[],[s14,s28]) ).
cnf(s33,plain,
spl0_5,
inference(rat,[],[s10,s28]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s26,s27,s30,s33]) ).
fof(f849,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC071-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 07:38:51 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.26/1.22 % (3379235)Input is clausal, will run a generic CNF schedule.
% 3.26/1.22 % (3379245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2492545324:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.26/1.22 % (3379244)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1883058036:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.26/1.22 % (3379240)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=296182628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.26/1.22 % (3379243)lrs+10_1_sil=8000:sp=occurrence:random_seed=3091156426:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.26/1.22 % (3379242)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=967155325:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.26/1.22 % (3379241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2214759035:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.26/1.22 % (3379246)dis-21_1_sil=8000:lcm=predicate:random_seed=3278632664: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)
% 3.26/1.22 % (3379243)First to succeed.
% 3.26/1.22 % (3379243)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3379235"
% 3.26/1.22 % (3379244)Also succeeded, but the first one will report.
% 3.26/1.22 % (3379245)Also succeeded, but the first one will report.
% 3.26/1.22 % (3379246)Instruction limit reached!
% 3.26/1.22 % (3379246)------------------------------
% 3.26/1.22 % (3379246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3379246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3379246)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3379246)Termination reason: Instruction limit
% 3.26/1.22 % (3379246)Termination phase: Saturation
% 3.26/1.22 % (3379246)Time elapsed: 0.071 s
% 3.26/1.22 % (3379246)Peak memory usage: 90 MB
% 3.26/1.22 % (3379246)Instructions burned: 117 (million)
% 3.26/1.22 % (3379254)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=3191275967:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.26/1.22 % (3379254)Also succeeded, but the first one will report.
% 3.26/1.22 % (3379243)Refutation found. Thanks to Tanya!
% 3.26/1.22 % SZS status Unsatisfiable for theBenchmark
% 3.26/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.26/1.22 % (3379243)------------------------------
% 3.26/1.22 % (3379243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.26/1.22 % (3379243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.22 % (3379243)CaDiCaL version: 2.1.3
% 3.26/1.22 % (3379243)Termination reason: Refutation
% 3.26/1.22 % (3379243)Time elapsed: 0.014 s
% 3.26/1.22 % (3379243)Peak memory usage: 90 MB
% 3.26/1.22 % (3379243)Instructions burned: 19 (million)
% 3.26/1.22 % (3379243)------------------------------
% 3.26/1.22 % (3379243)------------------------------
% 3.26/1.22 % (3379235)Success in time 0.406 s
% 3.26/1.22 % Vampire exiting
%------------------------------------------------------------------------------