%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC369-1 : 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 : n005.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 01:03:40 PM UTC 2026
% Result : Unsatisfiable 3.45s 1.26s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 13 unt; 4 def)
% Number of atoms : 90 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 39 ~; 43 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 5 ( 0 sgn 5 !; 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(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
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,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f209,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f212,plain,
~ segmentP(sk4,sk3),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f221,definition,
( spl0_1
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f222,plain,
( ~ segmentP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl0_2
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f227,plain,
( ~ neq(sk4,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f228,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f209,f225,f221]) ).
fof(f235,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f236,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f237,plain,
( nil != sk4
| spl0_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl0_5
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f241,plain,
( nil = sk3
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f242,plain,
( ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f207,f239,f235]) ).
fof(f243,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f212,f221]) ).
fof(f260,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(resolution,[],[f102,f227]) ).
fof(f263,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f260,f203]) ).
fof(f264,plain,
( nil = sk4
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f263,f8]) ).
fof(f265,plain,
( $false
| spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f264,f237]) ).
fof(f266,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f265]) ).
fof(f270,plain,
( ~ segmentP(nil,sk3)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f222,f236]) ).
fof(f272,plain,
( ~ segmentP(nil,nil)
| spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f270,f241]) ).
fof(f282,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f272,f56]) ).
fof(f286,plain,
( $false
| spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f282,f8]) ).
fof(f287,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f286]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s3,plain,
( ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f243]) ).
cnf(s5,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f266]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f287]) ).
cnf(s8,plain,
~ spl0_2,
inference(rat,[],[s1,s4]) ).
cnf(s9,plain,
spl0_4,
inference(rat,[],[s5,s8]) ).
cnf(s10,plain,
~ spl0_5,
inference(rat,[],[s7,s4,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s3,s10,s9]) ).
fof(f288,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC369-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:20:02 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 3.45/1.26 % (662558)Input is clausal, will run a generic CNF schedule.
% 3.45/1.26 % (662569)dis-21_1_sil=8000:lcm=predicate:random_seed=2705110513: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)
% 3.45/1.26 % (662569)Instruction limit reached!
% 3.45/1.26 % (662569)------------------------------
% 3.45/1.26 % (662569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.26 % (662569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.26 % (662569)CaDiCaL version: 2.1.3
% 3.45/1.26 % (662569)Termination reason: Instruction limit
% 3.45/1.26 % (662569)Termination phase: Saturation
% 3.45/1.26 % (662569)Time elapsed: 0.027 s
% 3.45/1.26 % (662569)Peak memory usage: 89 MB
% 3.45/1.26 % (662569)Instructions burned: 120 (million)
% 3.45/1.26 % (662566)lrs+10_1_sil=8000:sp=occurrence:random_seed=1397643511:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.45/1.26 % (662566)First to succeed.
% 3.45/1.26 % (662566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-662558"
% 3.45/1.26 % (662564)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3954077253:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.45/1.26 % (662563)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=1730862515:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.45/1.26 % (662565)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2674904847:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.45/1.26 % (662568)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=457933696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.45/1.26 % (662567)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=715477050:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.45/1.26 % (662567)Also succeeded, but the first one will report.
% 3.45/1.26 % (662568)Also succeeded, but the first one will report.
% 3.45/1.26 % (662572)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=1931180598:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.45/1.26 % (662572)Also succeeded, but the first one will report.
% 3.45/1.26 % (662566)Refutation found. Thanks to Tanya!
% 3.45/1.26 % SZS status Unsatisfiable for theBenchmark
% 3.45/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.26 % (662566)------------------------------
% 3.45/1.26 % (662566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.26 % (662566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.26 % (662566)CaDiCaL version: 2.1.3
% 3.45/1.26 % (662566)Termination reason: Refutation
% 3.45/1.26 % (662566)Time elapsed: 0.004 s
% 3.45/1.26 % (662566)Peak memory usage: 90 MB
% 3.45/1.26 % (662566)Instructions burned: 3 (million)
% 3.45/1.26 % (662566)------------------------------
% 3.45/1.26 % (662566)------------------------------
% 3.45/1.26 % (662558)Success in time 0.403 s
% 3.45/1.26 % Vampire exiting
%------------------------------------------------------------------------------