%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC105-1 : 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 : n013.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 01:02:28 PM UTC 2026
% Result : Unsatisfiable 3.59s 1.49s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 10 unt; 5 def)
% Number of atoms : 156 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 171 ( 82 ~; 84 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f82,axiom,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( nil = sk2
| ~ neq(sk1,nil)
| ~ rearsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk1
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil != sk1
| ~ neq(sk1,nil)
| ~ rearsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( nil = sk4
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( nil = sk3
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f213,negated_conjecture,
( nil = sk3
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
( nil = sk4
| ~ neq(sk3,nil)
| ~ rearsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f207,f204,f205,f204,f205]) ).
fof(f218,plain,
( nil != sk3
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f208,f205,f204]) ).
fof(f219,plain,
( nil != sk3
| ~ neq(sk3,nil)
| ~ rearsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f209,f205,f205,f204,f205]) ).
fof(f220,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f226,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f229,definition,
( spl0_1
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f230,plain,
( ~ rearsegP(sk4,sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( rearsegP(sk4,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl0_2
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f234,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f236,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f213,f233,f229]) ).
fof(f238,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f241,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f212,f233,f238]) ).
fof(f243,definition,
( spl0_4
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f245,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f243,f229]) ).
fof(f247,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f210,f243,f238]) ).
fof(f248,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f219,f233,f238,f229]) ).
fof(f250,definition,
( spl0_5
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f252,plain,
( neq(sk4,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f218,f233,f250]) ).
fof(f254,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f217,f243,f238,f229]) ).
fof(f256,plain,
( neq(nil,nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f252,f245]) ).
fof(f257,plain,
( ~ rearsegP(sk4,nil)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f230,f235]) ).
fof(f259,plain,
( ~ rearsegP(nil,nil)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f257,f245]) ).
fof(f263,plain,
( ~ ssList(nil)
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f58,f259]) ).
fof(f264,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f263,f8]) ).
fof(f265,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f271,plain,
( rearsegP(nil,sk3)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f231,f245]) ).
fof(f272,plain,
( ~ ssList(nil)
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f226,f256]) ).
fof(f273,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f272,f8]) ).
fof(f274,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f284,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f82,f271]) ).
fof(f289,plain,
( nil = sk3
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f284,f202]) ).
fof(f290,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f289,f234]) ).
fof(f291,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f290]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f236]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f241]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f246]) ).
cnf(s4,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f247]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f248]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f253]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f254]) ).
cnf(s9,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f265]) ).
cnf(s11,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f274]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f291]) ).
cnf(s13,plain,
spl0_1,
inference(rat,[],[s9,s1,s3]) ).
cnf(s14,plain,
~ spl0_2,
inference(rat,[],[s4,s11,s5,s6,s13]) ).
cnf(s15,plain,
~ spl0_4,
inference(rat,[],[s12,s13,s14]) ).
cnf(s16,plain,
spl0_3,
inference(rat,[],[s2,s14]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s7,s13,s15,s16]) ).
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC105-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:53:07 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.59/1.49 % (1010876)Input is clausal, will run a generic CNF schedule.
% 3.59/1.49 % (1010887)dis-21_1_sil=8000:lcm=predicate:random_seed=3340833944: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)
% 3.59/1.49 % (1010887)Instruction limit reached!
% 3.59/1.49 % (1010887)------------------------------
% 3.59/1.49 % (1010887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.49 % (1010887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.49 % (1010887)CaDiCaL version: 2.1.3
% 3.59/1.49 % (1010887)Termination reason: Instruction limit
% 3.59/1.49 % (1010887)Termination phase: Saturation
% 3.59/1.49 % (1010887)Time elapsed: 0.026 s
% 3.59/1.49 % (1010887)Peak memory usage: 89 MB
% 3.59/1.49 % (1010887)Instructions burned: 117 (million)
% 3.59/1.49 % (1010886)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2856165450:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.59/1.49 % (1010884)lrs+10_1_sil=8000:sp=occurrence:random_seed=3102223718:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.59/1.49 % (1010882)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2160142868:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.59/1.49 % (1010881)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=514062734:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.59/1.49 % (1010885)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3075014336:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.59/1.49 % (1010883)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2194479603:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.59/1.49 % (1010884)First to succeed.
% 3.59/1.49 % (1010886)Also succeeded, but the first one will report.
% 3.59/1.49 % (1010885)Also succeeded, but the first one will report.
% 3.59/1.49 % (1010884)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1010876"
% 3.59/1.49 % (1010889)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=2449277192:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.59/1.49 % (1010889)Also succeeded, but the first one will report.
% 3.59/1.49 % (1010897)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=182034689:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 3.59/1.49 % (1010897)Also succeeded, but the first one will report.
% 3.59/1.49 % (1010884)Refutation found. Thanks to Tanya!
% 3.59/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.59/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.49 % (1010884)------------------------------
% 3.59/1.49 % (1010884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.49 % (1010884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.49 % (1010884)CaDiCaL version: 2.1.3
% 3.59/1.49 % (1010884)Termination reason: Refutation
% 3.59/1.49 % (1010884)Time elapsed: 0.004 s
% 3.59/1.49 % (1010884)Peak memory usage: 90 MB
% 3.59/1.49 % (1010884)Instructions burned: 3 (million)
% 3.59/1.49 % (1010884)------------------------------
% 3.59/1.49 % (1010884)------------------------------
% 3.59/1.49 % (1010876)Success in time 0.427 s
% 3.59/1.49 % Vampire exiting
%------------------------------------------------------------------------------