%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:02:22 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.45s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 52 ( 14 unt; 4 def)
% Number of atoms : 102 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 50 ~; 46 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil = sk4
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk3
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f215,plain,
! [X0] :
( ~ neq(X0,nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f224,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f226,plain,
( segmentP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f228,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f230,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f231,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f211,f228,f224]) ).
fof(f233,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f235,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f210,f228,f233]) ).
fof(f238,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f240,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f209,f238,f224]) ).
fof(f242,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f238,f233]) ).
fof(f246,plain,
( ~ ssList(sk4)
| ~ segmentP(sk4,sk4)
| ~ segmentP(sk3,sk4) ),
inference(resolution,[],[f215,f214]) ).
fof(f247,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,sk4) ),
inference(forward_subsumption_resolution,[],[f246,f57]) ).
fof(f248,plain,
~ segmentP(sk3,sk4),
inference(forward_subsumption_resolution,[],[f247,f203]) ).
fof(f249,plain,
( ~ segmentP(sk3,nil)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f248,f240]) ).
fof(f250,plain,
( ~ segmentP(nil,nil)
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f249,f230]) ).
fof(f254,plain,
( ~ ssList(nil)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f56,f250]) ).
fof(f255,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f254,f8]) ).
fof(f256,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f258,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ segmentP(sk3,sk3)
| ~ spl0_3 ),
inference(resolution,[],[f235,f215]) ).
fof(f259,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f258,f57]) ).
fof(f260,plain,
( ~ segmentP(sk4,sk3)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f259,f202]) ).
fof(f264,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f260,f226]) ).
fof(f265,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f264]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f231]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f236]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f241]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f242]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f256]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f265]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s9,plain,
~ spl0_3,
inference(rat,[],[s7,s8]) ).
cnf(s10,plain,
spl0_4,
inference(rat,[],[s4,s9]) ).
cnf(s11,plain,
spl0_2,
inference(rat,[],[s2,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s10,s11]) ).
fof(f266,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 07:48:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.47/1.45 % (1614893)Input is clausal, will run a generic CNF schedule.
% 3.47/1.45 % (1614904)dis-21_1_sil=8000:lcm=predicate:random_seed=1781530860: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)
% 3.47/1.45 % (1614904)Instruction limit reached!
% 3.47/1.45 % (1614904)------------------------------
% 3.47/1.45 % (1614904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (1614904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (1614904)CaDiCaL version: 2.1.3
% 3.47/1.45 % (1614904)Termination reason: Instruction limit
% 3.47/1.45 % (1614904)Termination phase: Saturation
% 3.47/1.45 % (1614904)Time elapsed: 0.026 s
% 3.47/1.45 % (1614904)Peak memory usage: 88 MB
% 3.47/1.45 % (1614904)Instructions burned: 121 (million)
% 3.47/1.45 % (1614903)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=935550804:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.45 % (1614900)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4207810770:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.45 % (1614901)lrs+10_1_sil=8000:sp=occurrence:random_seed=2939907397:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.45 % (1614898)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=495634562:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.45 % (1614899)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2062610995:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.45 % (1614902)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1363115551:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.45 % (1614901)First to succeed.
% 3.47/1.45 % (1614902)Also succeeded, but the first one will report.
% 3.47/1.45 % (1614901)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1614893"
% 3.47/1.45 % (1614903)Also succeeded, but the first one will report.
% 3.47/1.45 % (1614906)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=1545314422:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.47/1.45 % (1614906)Also succeeded, but the first one will report.
% 3.47/1.45 % (1614901)Refutation found. Thanks to Tanya!
% 3.47/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.45 % (1614901)------------------------------
% 3.47/1.45 % (1614901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (1614901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (1614901)CaDiCaL version: 2.1.3
% 3.47/1.45 % (1614901)Termination reason: Refutation
% 3.47/1.45 % (1614901)Time elapsed: 0.004 s
% 3.47/1.45 % (1614901)Peak memory usage: 90 MB
% 3.47/1.45 % (1614901)Instructions burned: 3 (million)
% 3.47/1.45 % (1614901)------------------------------
% 3.47/1.45 % (1614901)------------------------------
% 3.47/1.45 % (1614893)Success in time 0.412 s
% 3.47/1.45 % Vampire exiting
%------------------------------------------------------------------------------