%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC387-1 : 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 : n020.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 01:03:45 PM UTC 2026
% Result : Unsatisfiable 2.75s 1.18s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 11 unt; 6 def)
% Number of atoms : 117 ( 23 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 59 ~; 56 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
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(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] :
( ~ ssItem(X0)
| cons(X0,nil) != sk1
| ~ memberP(sk2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f215,plain,
! [X0] :
( cons(X0,nil) != sk3
| ~ ssItem(X0)
| ~ memberP(sk4,X0) ),
inference(definition_unfolding,[],[f206,f205,f204]) ).
fof(f216,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f235,definition,
( spl0_3
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f236,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,definition,
( spl0_4
<=> memberP(sk4,sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f239,plain,
( memberP(sk4,sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f212,f238,f235]) ).
fof(f242,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f243,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f211,f242,f235]) ).
fof(f246,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f247,plain,
( ssItem(sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f209,f246,f235]) ).
fof(f250,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f253,definition,
( spl0_8
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f254,plain,
( nil != sk4
| spl0_8 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f255,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f216,f253,f250]) ).
fof(f257,plain,
( ~ spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f207,f250,f253]) ).
fof(f266,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(resolution,[],[f102,f236]) ).
fof(f271,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f266,f203]) ).
fof(f272,plain,
( nil = sk4
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f271,f8]) ).
fof(f273,plain,
( $false
| spl0_3
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f272,f254]) ).
fof(f274,plain,
( spl0_3
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( sk3 != sk3
| ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_5 ),
inference(superposition,[],[f215,f243]) ).
fof(f280,plain,
( ~ ssItem(sk5)
| ~ memberP(sk4,sk5)
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f275]) ).
fof(f284,plain,
( ~ memberP(sk4,sk5)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f280,f247]) ).
fof(f288,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f284,f239]) ).
fof(f289,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f288]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f240]) ).
cnf(s3,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f244]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f248]) ).
cnf(s5,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f255]) ).
cnf(s6,plain,
( spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f257]) ).
cnf(s8,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f274]) ).
cnf(s9,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f289]) ).
cnf(s13,plain,
~ spl0_8,
inference(rat,[],[s5,s6]) ).
cnf(s14,plain,
spl0_3,
inference(rat,[],[s8,s13]) ).
cnf(s15,plain,
spl0_6,
inference(rat,[],[s4,s14]) ).
cnf(s16,plain,
spl0_5,
inference(rat,[],[s3,s14]) ).
cnf(s17,plain,
spl0_4,
inference(rat,[],[s2,s14]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s9,s15,s16,s17]) ).
fof(f291,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC387-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 09:26:34 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 2.75/1.18 % (52501)Input is clausal, will run a generic CNF schedule.
% 2.75/1.18 % (52510)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1902931766:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.18 % (52510)First to succeed.
% 2.75/1.18 % (52510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-52501"
% 2.75/1.18 % (52512)dis-21_1_sil=8000:lcm=predicate:random_seed=622403957: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)
% 2.75/1.18 % (52506)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=380532620:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.18 % (52509)lrs+10_1_sil=8000:sp=occurrence:random_seed=1232720559:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.18 % (52511)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3907115071:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.18 % (52508)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2976671382:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.18 % (52507)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1353597624:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.18 % (52509)Also succeeded, but the first one will report.
% 2.75/1.18 % (52511)Also succeeded, but the first one will report.
% 2.75/1.18 % (52512)Instruction limit reached!
% 2.75/1.18 % (52512)------------------------------
% 2.75/1.18 % (52512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.18 % (52512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.18 % (52512)CaDiCaL version: 2.1.3
% 2.75/1.18 % (52512)Termination reason: Instruction limit
% 2.75/1.18 % (52512)Termination phase: Saturation
% 2.75/1.18 % (52512)Time elapsed: 0.052 s
% 2.75/1.18 % (52512)Peak memory usage: 88 MB
% 2.75/1.18 % (52512)Instructions burned: 120 (million)
% 2.75/1.18 % (52510)Refutation found. Thanks to Tanya!
% 2.75/1.18 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/1.19 % (52510)------------------------------
% 2.75/1.19 % (52510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.19 % (52510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.19 % (52510)CaDiCaL version: 2.1.3
% 2.75/1.19 % (52510)Termination reason: Refutation
% 2.75/1.19 % (52510)Time elapsed: 0.003 s
% 2.75/1.19 % (52510)Peak memory usage: 90 MB
% 2.75/1.19 % (52510)Instructions burned: 4 (million)
% 2.75/1.19 % (52510)------------------------------
% 2.75/1.19 % (52510)------------------------------
% 2.75/1.19 % (52501)Success in time 0.3 s
% 2.75/1.19 % Vampire exiting
%------------------------------------------------------------------------------