%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC336-1 : 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 : n016.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 01:03:31 PM UTC 2026
% Result : Unsatisfiable 3.22s 0.92s
% Output : Refutation 3.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 22
% Syntax : Number of formulae : 75 ( 13 unt; 8 def)
% Number of atoms : 177 ( 20 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 182 ( 80 ~; 94 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
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(f207,negated_conjecture,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f216,negated_conjecture,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( sk3 = cons(sk5,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f218]) ).
fof(f220,negated_conjecture,
( app(app(sk6,sk3),sk7) = sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f221,plain,
( sk4 = app(app(sk6,sk3),sk7)
| nil = sk3 ),
inference(reorient_equations,[],[f220]) ).
fof(f224,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f227,plain,
( ~ segmentP(sk4,sk3)
| ~ totalorderedP(sk3) ),
inference(definition_unfolding,[],[f224,f204,f205,f205]) ).
fof(f235,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(f241,definition,
( spl0_1
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f243,plain,
( ~ totalorderedP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl0_2
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f247,plain,
( ~ segmentP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f227,f245,f241]) ).
fof(f250,definition,
( spl0_3
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f252,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f262,definition,
( spl0_6
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f264,plain,
( sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f221,f262,f250]) ).
fof(f267,definition,
( spl0_7
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f269,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f219,f267,f250]) ).
fof(f272,definition,
( spl0_8
<=> ssList(sk7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f274,plain,
( ssList(sk7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f217,f272,f250]) ).
fof(f277,definition,
( spl0_9
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f279,plain,
( ssList(sk6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f216,f277,f250]) ).
fof(f292,definition,
( spl0_11
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f294,plain,
( ssItem(sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f207,f292,f250]) ).
fof(f297,plain,
( ~ segmentP(sk4,nil)
| spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f247,f252]) ).
fof(f307,plain,
( totalorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_7 ),
inference(superposition,[],[f67,f269]) ).
fof(f308,plain,
( totalorderedP(sk3)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f307,f294]) ).
fof(f309,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f308,f292,f267,f241]) ).
fof(f413,plain,
( ~ totalorderedP(nil)
| spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f243,f252]) ).
fof(f421,plain,
( $false
| spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f413,f4]) ).
fof(f422,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f434,plain,
( ~ ssList(sk4)
| spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f297,f56]) ).
fof(f435,plain,
( $false
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f434,f203]) ).
fof(f436,plain,
( spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f1016,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| ~ spl0_6 ),
inference(superposition,[],[f235,f264]) ).
fof(f1020,plain,
( ~ ssList(sk6)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1016,f247]) ).
fof(f1026,plain,
( ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1020,f279]) ).
fof(f1032,plain,
( ~ ssList(sk4)
| ~ ssList(sk7)
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1026,f202]) ).
fof(f1037,plain,
( ~ ssList(sk7)
| spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1032,f203]) ).
fof(f1038,plain,
( $false
| spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1037,f274]) ).
fof(f1039,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f248]) ).
cnf(s4,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f265]) ).
cnf(s5,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f270]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f275]) ).
cnf(s7,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f280]) ).
cnf(s14,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f295]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f309]) ).
cnf(s21,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f422]) ).
cnf(s22,plain,
( spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f436]) ).
cnf(s41,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f1039]) ).
cnf(s43,plain,
spl0_1,
inference(rat,[],[s17,s5,s14,s21]) ).
cnf(s44,plain,
~ spl0_2,
inference(rat,[],[s1,s43]) ).
cnf(s45,plain,
~ spl0_3,
inference(rat,[],[s22,s44]) ).
cnf(s47,plain,
spl0_9,
inference(rat,[],[s7,s45]) ).
cnf(s48,plain,
spl0_8,
inference(rat,[],[s6,s45]) ).
cnf(s50,plain,
spl0_6,
inference(rat,[],[s4,s45]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s41,s47,s44,s48,s50]) ).
fof(f1040,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC336-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:14:33 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.22/0.92 % (3497941)Input is clausal, will run a generic CNF schedule.
% 3.22/0.92 % (3497952)dis-21_1_sil=8000:lcm=predicate:random_seed=336845866: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)
% 3.22/0.92 % (3497951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1214266251:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.22/0.92 % (3497949)lrs+10_1_sil=8000:sp=occurrence:random_seed=2515639392:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.22/0.92 % (3497947)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3669554390:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.22/0.92 % (3497950)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1961072207:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.22/0.92 % (3497946)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=3529373054:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.22/0.92 % (3497948)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=984901345:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.22/0.92 % (3497952)Instruction limit reached!
% 3.22/0.92 % (3497952)------------------------------
% 3.22/0.92 % (3497952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/0.92 % (3497952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.92 % (3497952)CaDiCaL version: 2.1.3
% 3.22/0.92 % (3497952)Termination reason: Instruction limit
% 3.22/0.92 % (3497952)Termination phase: Saturation
% 3.22/0.92 % (3497952)Time elapsed: 0.028 s
% 3.22/0.92 % (3497952)Peak memory usage: 89 MB
% 3.22/0.92 % (3497952)Instructions burned: 119 (million)
% 3.22/0.92 % (3497949)First to succeed.
% 3.22/0.92 % (3497949)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3497941"
% 3.22/0.92 % (3497951)Also succeeded, but the first one will report.
% 3.22/0.92 % (3497950)Also succeeded, but the first one will report.
% 3.22/0.92 % (3497960)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=2351063617:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.22/0.92 % (3497960)Also succeeded, but the first one will report.
% 3.22/0.92 % (3497949)Refutation found. Thanks to Tanya!
% 3.22/0.92 % SZS status Unsatisfiable for theBenchmark
% 3.22/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 3.22/0.92 % (3497949)------------------------------
% 3.22/0.92 % (3497949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/0.92 % (3497949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/0.92 % (3497949)CaDiCaL version: 2.1.3
% 3.22/0.92 % (3497949)Termination reason: Refutation
% 3.22/0.92 % (3497949)Time elapsed: 0.018 s
% 3.22/0.92 % (3497949)Peak memory usage: 90 MB
% 3.22/0.92 % (3497949)Instructions burned: 25 (million)
% 3.22/0.92 % (3497949)------------------------------
% 3.22/0.92 % (3497949)------------------------------
% 3.22/0.92 % (3497941)Success in time 0.408 s
% 3.22/0.92 % Vampire exiting
%------------------------------------------------------------------------------