%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC415-1 : 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 : n017.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 01:05:57 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.24s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 18 unt; 6 def)
% Number of atoms : 177 ( 26 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 182 ( 74 ~; 102 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| ssList(tl(X0))
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause75) ).
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] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X0 = X1 ),
inference(reorient_equations,[],[f101]) ).
fof(f118,axiom,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).
fof(f201,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
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(f210,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| sk3 = X0
| tl(sk4) != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
! [X0] :
( ~ ssList(X0)
| tl(sk2) != X0
| sk1 != X0
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f214,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f206,f204,f204]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| tl(sk4) != X0
| sk3 != X0
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(definition_unfolding,[],[f211,f204,f205,f204]) ).
fof(f225,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f118]) ).
fof(f245,plain,
( ~ ssList(tl(sk4))
| sk3 = tl(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f210]) ).
fof(f246,plain,
( ~ ssList(tl(sk4))
| sk3 != tl(sk4)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f249,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(tl(X0))
| ssList(X0)
| nil = X0 ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f316,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f329,plain,
! [X1] :
( neq(X1,X1)
| ssList(X1)
| ssList(X1) ),
inference(consistent_polarity_flipping,[],[f225]) ).
fof(f400,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f403,plain,
( ~ neq(sk4,nil)
| ~ neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f407,plain,
( ssList(tl(sk4))
| sk3 = tl(sk4)
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f245]) ).
fof(f408,plain,
( ssList(tl(sk4))
| sk3 != tl(sk4)
| neq(nil,sk4)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f246]) ).
fof(f409,plain,
~ neq(sk4,nil),
inference(duplicate_literal_removal,[],[f403]) ).
fof(f414,plain,
! [X1] :
( neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f329]) ).
fof(f417,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f418,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f421,definition,
( spl0_2
<=> neq(nil,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f423,plain,
( neq(nil,sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl0_3
<=> sk3 = tl(sk4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f429,definition,
( spl0_4
<=> ssList(tl(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f431,plain,
( ssList(tl(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f432,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f408,f429,f425,f421,f417]) ).
fof(f433,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f407,f429,f425,f421,f417]) ).
fof(f436,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f409,f417]) ).
fof(f442,definition,
( spl0_6
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f443,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f478,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f249,f442]) ).
fof(f551,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_4 ),
inference(resolution,[],[f291,f431]) ).
fof(f554,plain,
( nil = sk4
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f551,f400]) ).
fof(f556,plain,
( ~ neq(nil,nil)
| spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f418,f554]) ).
fof(f564,plain,
( ssList(nil)
| spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f414,f556]) ).
fof(f565,plain,
( $false
| spl0_1
| ~ spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f564,f443]) ).
fof(f566,plain,
( spl0_1
| ~ spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f642,plain,
( ssList(nil)
| ssList(sk4)
| nil = sk4
| ~ spl0_2 ),
inference(resolution,[],[f316,f423]) ).
fof(f645,plain,
( ssList(sk4)
| nil = sk4
| ~ spl0_2
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f642,f443]) ).
fof(f646,plain,
( nil = sk4
| ~ spl0_2
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f645,f400]) ).
fof(f653,definition,
( spl0_14
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f655,plain,
( nil = sk4
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f665,plain,
( spl0_14
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f646,f442,f421,f653]) ).
fof(f848,plain,
( ~ neq(nil,nil)
| spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f418,f655]) ).
fof(f917,plain,
( ssList(nil)
| spl0_1
| ~ spl0_14 ),
inference(resolution,[],[f848,f414]) ).
fof(f919,plain,
( $false
| spl0_1
| spl0_6
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f917,f443]) ).
fof(f920,plain,
( spl0_1
| spl0_6
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f919]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f432]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f433]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f436]) ).
cnf(s15,plain,
~ spl0_6,
inference(sat_conversion,[],[f478]) ).
cnf(s17,plain,
( spl0_1
| ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f566]) ).
cnf(s19,plain,
( ~ spl0_2
| spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f665]) ).
cnf(s27,plain,
( spl0_1
| spl0_6
| ~ spl0_14 ),
inference(sat_conversion,[],[f920]) ).
cnf(s32,plain,
~ spl0_14,
inference(rat,[],[s27,s15,s5]) ).
cnf(s33,plain,
~ spl0_4,
inference(rat,[],[s17,s15,s5]) ).
cnf(s36,plain,
~ spl0_2,
inference(rat,[],[s19,s15,s32]) ).
cnf(s37,plain,
spl0_3,
inference(rat,[],[s2,s33,s36,s5]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s33,s37,s36,s5]) ).
fof(f921,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC415-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n017.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 09:28:43 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 0.07/0.24 % (3428901)Will run a generic schedule for satisfiability detection.
% 0.07/0.24 % (3428911)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1018110775:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.24 % (3428907)% WARNING: option uhcvi not known.
% 0.07/0.24 % (3428906)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2992172085_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.24 % (3428909)dis+10_1_sil=32000:sp=arity:random_seed=3270103723:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.24 % (3428908)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=415410424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.24 % (3428907)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=203981581:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.24 % (3428910)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2044294964:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.24 % (3428912)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3547117922:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.24 % (3428907) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3428901-3428907"...
% 0.07/0.24 % (3428909) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3428901-3428909"...
% 0.07/0.24 % (3428907)...printing done.
% 0.07/0.24 % (3428907)Refutation found. Thanks to Tanya!
% 0.07/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.25 % (3428907)------------------------------
% 0.07/0.25 % (3428907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.25 % (3428907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.25 % (3428907)CaDiCaL version: 2.1.3
% 0.07/0.25 % (3428907)Termination reason: Refutation
% 0.07/0.25 % (3428907)Time elapsed: 0.008 s
% 0.07/0.25 % (3428907)Peak memory usage: 13 MB
% 0.07/0.25 % (3428907)Instructions burned: 23 (million)
% 0.07/0.25 % (3428901)Success in time 0.035 s
% 0.07/0.25 % Vampire exiting
%------------------------------------------------------------------------------