%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC256-1 : 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 : n002.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 01:03:10 PM UTC 2026
% Result : Unsatisfiable 0.18s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 14 unt; 3 def)
% Number of atoms : 78 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 77 ( 40 ~; 34 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f119,axiom,
! [X0,X1] :
( cons(X0,nil) != X1
| ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
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,
~ singletonP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f218,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f219,plain,
~ singletonP(sk3),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f223,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f224,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f228,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f246,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f247,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f251,plain,
( nil = sk4
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f253,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f211,f246,f250]) ).
fof(f255,definition,
( spl0_7
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f256,plain,
( ssItem(sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f208,f255,f250]) ).
fof(f261,plain,
( neq(nil,nil)
| ~ spl0_6 ),
inference(superposition,[],[f218,f251]) ).
fof(f265,plain,
( ~ ssList(nil)
| ~ spl0_6 ),
inference(resolution,[],[f228,f261]) ).
fof(f266,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f265,f8]) ).
fof(f267,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f266]) ).
fof(f294,plain,
( singletonP(sk3)
| ~ ssList(sk3)
| ~ ssItem(sk5)
| ~ spl0_5 ),
inference(superposition,[],[f224,f247]) ).
fof(f295,plain,
( ~ ssList(sk3)
| ~ ssItem(sk5)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f294,f219]) ).
fof(f296,plain,
( ~ ssItem(sk5)
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f295,f202]) ).
fof(f297,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f296,f256]) ).
fof(f298,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f297]) ).
cnf(s5,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f253]) ).
cnf(s7,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f258]) ).
cnf(s9,plain,
~ spl0_6,
inference(sat_conversion,[],[f267]) ).
cnf(s11,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f298]) ).
cnf(s12,plain,
spl0_7,
inference(rat,[],[s7,s9]) ).
cnf(s13,plain,
~ spl0_5,
inference(rat,[],[s11,s12]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s5,s9,s13]) ).
fof(f299,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC256-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n002.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 08:47:13 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 0.18/1.31 % (216445)Input is clausal, will run a generic CNF schedule.
% 0.18/1.31 % (216456)dis-21_1_sil=8000:lcm=predicate:random_seed=1827933384: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)
% 0.18/1.31 % (216456)Instruction limit reached!
% 0.18/1.31 % (216456)------------------------------
% 0.18/1.31 % (216456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (216456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (216456)CaDiCaL version: 2.1.3
% 0.18/1.31 % (216456)Termination reason: Instruction limit
% 0.18/1.31 % (216456)Termination phase: Saturation
% 0.18/1.31 % (216456)Time elapsed: 0.027 s
% 0.18/1.31 % (216456)Peak memory usage: 89 MB
% 0.18/1.31 % (216456)Instructions burned: 121 (million)
% 0.18/1.31 % (216454)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3527150758:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.31 % (216450)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=822133598:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.31 % (216455)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3661171523:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.31 % (216452)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2377905427:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.31 % (216451)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3833574203:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.31 % (216453)lrs+10_1_sil=8000:sp=occurrence:random_seed=787114032:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.31 % (216454)First to succeed.
% 0.18/1.31 % (216453)Also succeeded, but the first one will report.
% 0.18/1.31 % (216454)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-216445"
% 0.18/1.31 % (216455)Also succeeded, but the first one will report.
% 0.18/1.31 % (216458)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=400600215:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.18/1.31 % (216458)Also succeeded, but the first one will report.
% 0.18/1.31 % (216454)Refutation found. Thanks to Tanya!
% 0.18/1.31 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.31 % (216454)------------------------------
% 0.18/1.31 % (216454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.31 % (216454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.31 % (216454)CaDiCaL version: 2.1.3
% 0.18/1.31 % (216454)Termination reason: Refutation
% 0.18/1.31 % (216454)Time elapsed: 0.005 s
% 0.18/1.31 % (216454)Peak memory usage: 89 MB
% 0.18/1.31 % (216454)Instructions burned: 4 (million)
% 0.18/1.31 % (216454)------------------------------
% 0.18/1.31 % (216454)------------------------------
% 0.18/1.31 % (216445)Success in time 0.448 s
% 0.18/1.31 % Vampire exiting
%------------------------------------------------------------------------------