%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC106-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:04:42 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 77 ( 18 unt; 8 def)
% Number of atoms : 189 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 216 ( 104 ~; 104 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f98,axiom,
! [X0,X1] :
( cons(X0,X1) != nil
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssItem(X0)
| nil != cons(X0,X1)
| ~ ssList(X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( app(X0,X1) != X2
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f215,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f216,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f217,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f218,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f217]) ).
fof(f219,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f220,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
( ~ neq(sk1,nil)
| ~ rearsegP(sk2,sk1)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f224,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f231,plain,
( ~ neq(sk3,nil)
| ~ rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f221,f205,f204,f205]) ).
fof(f242,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f256,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f264,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f268,definition,
( spl0_2
<=> rearsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f270,plain,
( ~ rearsegP(sk4,sk3)
| spl0_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_3
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f274,plain,
( ~ neq(sk3,nil)
| spl0_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f231,f272,f268,f264]) ).
fof(f277,definition,
( spl0_4
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f279,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f280,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f220,f277,f264]) ).
fof(f282,definition,
( spl0_5
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f284,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f285,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f218,f282,f264]) ).
fof(f287,definition,
( spl0_6
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f289,plain,
( ssList(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f290,plain,
( ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f216,f287,f264]) ).
fof(f292,definition,
( spl0_7
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f294,plain,
( ssItem(sk5)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f215,f292,f264]) ).
fof(f301,plain,
spl0_1,
inference(avatar_split_clause,[],[f256,f264]) ).
fof(f307,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f308,plain,
( ssList(nil)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f343,plain,
spl0_9,
inference(avatar_split_clause,[],[f8,f307]) ).
fof(f570,plain,
( ! [X0] :
( ~ ssList(X0)
| nil != cons(sk5,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f99,f294]) ).
fof(f571,plain,
( nil != cons(sk5,nil)
| ~ spl0_7
| ~ spl0_9 ),
inference(resolution,[],[f570,f308]) ).
fof(f605,plain,
( nil != sk3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f571,f284]) ).
fof(f1101,plain,
( rearsegP(sk4,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk4)
| ~ ssList(sk6)
| ~ spl0_4 ),
inference(superposition,[],[f242,f279]) ).
fof(f1122,plain,
( rearsegP(sk4,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1101,f203]) ).
fof(f1127,plain,
( rearsegP(sk4,cons(sk5,nil))
| ~ ssList(cons(sk5,nil))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1122,f289]) ).
fof(f1130,plain,
( rearsegP(sk4,sk3)
| ~ ssList(cons(sk5,nil))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1127,f284]) ).
fof(f1134,plain,
( ~ ssList(cons(sk5,nil))
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1130,f270]) ).
fof(f1137,plain,
( ~ ssList(sk3)
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1134,f284]) ).
fof(f1138,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1137,f202]) ).
fof(f1139,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f1138]) ).
fof(f1157,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3
| spl0_3 ),
inference(resolution,[],[f274,f102]) ).
fof(f1158,plain,
( ~ ssList(nil)
| nil = sk3
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1157,f202]) ).
fof(f1160,plain,
( nil = sk3
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1158,f308]) ).
fof(f1162,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1160,f605]) ).
fof(f1163,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f275]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f280]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f285]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f290]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f295]) ).
cnf(s11,plain,
spl0_1,
inference(sat_conversion,[],[f301]) ).
cnf(s21,plain,
spl0_9,
inference(sat_conversion,[],[f343]) ).
cnf(s28,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s30,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f1163]) ).
cnf(s38,plain,
spl0_7,
inference(rat,[],[s5,s11]) ).
cnf(s39,plain,
spl0_6,
inference(rat,[],[s4,s11]) ).
cnf(s40,plain,
spl0_5,
inference(rat,[],[s3,s11]) ).
cnf(s41,plain,
spl0_3,
inference(rat,[],[s30,s21,s38,s40]) ).
cnf(s42,plain,
spl0_4,
inference(rat,[],[s2,s11]) ).
cnf(s43,plain,
spl0_2,
inference(rat,[],[s28,s39,s40,s42]) ).
cnf(s44,plain,
$false,
inference(rat,[],[s1,s41,s43,s11]) ).
fof(f1166,plain,
$false,
inference(avatar_sat_refutation,[],[s44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC106-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 07:54:49 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.47 % (24295)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (24304)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1884925264:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (24301)% WARNING: option uhcvi not known.
% 0.16/0.47 % (24300)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=868745923_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (24302)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2038281670:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (24301)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=812917155:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (24303)dis+10_1_sil=32000:sp=arity:random_seed=381883288:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (24305)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1317275031:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % (24306)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1426139631:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (24304) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-24295-24304"...
% 0.16/0.47 % (24304)...printing done.
% 0.16/0.47 % (24304)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (24304)------------------------------
% 0.16/0.47 % (24304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (24304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (24304)CaDiCaL version: 2.1.3
% 0.16/0.47 % (24304)Termination reason: Refutation
% 0.16/0.47 % (24304)Time elapsed: 0.015 s
% 0.16/0.47 % (24304)Peak memory usage: 13 MB
% 0.16/0.47 % (24304)Instructions burned: 46 (million)
% 0.16/0.47 % (24295)Success in time 0.051 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------