%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC325-1 : 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 : n010.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 01:05:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 89 ( 15 unt; 10 def)
% Number of atoms : 221 ( 50 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 229 ( 97 ~; 122 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
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(f156,axiom,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause145) ).
fof(f157,plain,
! [X0,X1] :
( nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0)
| nil = app(X0,X1) ),
inference(reorient_equations,[],[f156]) ).
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,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk2
| app(X1,X0) != sk1 ),
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,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk4 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f215,plain,
ssList(sk4),
inference(definition_unfolding,[],[f201,f204]) ).
fof(f216,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4
| app(X1,X0) != sk3 ),
inference(definition_unfolding,[],[f206,f204,f205]) ).
fof(f229,plain,
! [X1] :
( nil != X1
| ~ ssList(X1)
| ~ ssList(nil)
| nil = app(nil,X1) ),
inference(equality_resolution,[],[f157]) ).
fof(f230,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f229]) ).
fof(f246,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f300,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ssList(X1)
| ~ ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f314,plain,
! [X0,X1] :
( ~ neq(X1,X0)
| ssList(X1)
| ssList(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f356,plain,
( ssList(nil)
| ssList(nil)
| nil = app(nil,nil) ),
inference(consistent_polarity_flipping,[],[f230]) ).
fof(f396,plain,
~ ssList(sk4),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f399,plain,
! [X0,X1] :
( app(X1,X0) != sk3
| ssList(X1)
| app(X0,X1) != sk4
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f216]) ).
fof(f400,plain,
( ssItem(sk5)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f401,plain,
( ~ ssList(sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f209]) ).
fof(f402,plain,
( sk3 = app(cons(sk5,nil),sk6)
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f403,plain,
( sk4 = app(sk6,cons(sk5,nil))
| neq(sk4,nil) ),
inference(consistent_polarity_flipping,[],[f213]) ).
fof(f405,plain,
( ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f356]) ).
fof(f411,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f413,plain,
( neq(sk4,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f415,definition,
( spl0_2
<=> sk4 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f418,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f403,f415,f411]) ).
fof(f420,definition,
( spl0_3
<=> sk3 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f422,plain,
( sk3 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f402,f420,f411]) ).
fof(f425,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f427,plain,
( ~ ssList(sk6)
| spl0_4 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f401,f425,f411]) ).
fof(f430,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f432,plain,
( ssItem(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f433,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f400,f430,f411]) ).
fof(f435,definition,
( spl0_6
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f439,definition,
( spl0_7
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f442,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f207,f439,f435]) ).
fof(f444,definition,
( spl0_8
<=> nil = app(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f446,plain,
( nil = app(nil,nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f449,plain,
( ~ ssList(nil)
| spl0_9 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f405,f448,f444]) ).
fof(f484,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f246,f448]) ).
fof(f486,plain,
( sk3 != sk3
| ssList(cons(sk5,nil))
| sk4 != app(sk6,cons(sk5,nil))
| ssList(sk6)
| ~ spl0_3 ),
inference(superposition,[],[f399,f422]) ).
fof(f487,plain,
( ssList(cons(sk5,nil))
| sk4 != app(sk6,cons(sk5,nil))
| ssList(sk6)
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f486]) ).
fof(f494,definition,
( spl0_17
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f496,plain,
( ssList(cons(sk5,nil))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f503,plain,
( ssList(cons(sk5,nil))
| sk4 != app(sk6,cons(sk5,nil))
| ~ spl0_3
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f487,f427]) ).
fof(f504,plain,
( ~ spl0_2
| spl0_17
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f503,f425,f420,f494,f415]) ).
fof(f510,plain,
( nil != sk3
| ssList(nil)
| nil != sk4
| ssList(nil)
| ~ spl0_8 ),
inference(superposition,[],[f399,f446]) ).
fof(f511,plain,
( nil != sk3
| ssList(nil)
| nil != sk4
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f734,plain,
( ssList(sk4)
| ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(resolution,[],[f314,f413]) ).
fof(f737,plain,
( ssList(nil)
| nil = sk4
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f734,f396]) ).
fof(f738,plain,
( nil = sk4
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f737,f449]) ).
fof(f741,plain,
( nil != sk3
| nil != sk4
| ~ spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f511,f449]) ).
fof(f742,plain,
( spl0_6
| ~ spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f738,f448,f411,f435]) ).
fof(f743,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f741,f448,f444,f439,f435]) ).
fof(f769,plain,
( ssList(nil)
| ~ ssItem(sk5)
| ~ spl0_17 ),
inference(resolution,[],[f300,f496]) ).
fof(f772,plain,
( ~ ssItem(sk5)
| spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f769,f449]) ).
fof(f773,plain,
( $false
| ~ spl0_5
| spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f772,f432]) ).
fof(f774,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f773]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f418]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f423]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f428]) ).
cnf(s4,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f433]) ).
cnf(s5,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f442]) ).
cnf(s6,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f451]) ).
cnf(s15,plain,
~ spl0_9,
inference(sat_conversion,[],[f484]) ).
cnf(s18,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f504]) ).
cnf(s22,plain,
( ~ spl0_1
| spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f742]) ).
cnf(s23,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f743]) ).
cnf(s27,plain,
( ~ spl0_5
| spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f774]) ).
cnf(s31,plain,
spl0_8,
inference(rat,[],[s6,s15]) ).
cnf(s32,plain,
spl0_1,
inference(rat,[],[s18,s27,s1,s2,s3,s4,s15]) ).
cnf(s33,plain,
spl0_6,
inference(rat,[],[s22,s15,s32]) ).
cnf(s34,plain,
~ spl0_7,
inference(rat,[],[s23,s15,s31,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s5,s34,s33]) ).
fof(f775,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC325-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:06:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.26 % (1789336)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (1789342)% WARNING: option uhcvi not known.
% 0.09/0.26 % (1789342)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=260161354:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (1789342) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1789336-1789342"...
% 0.09/0.26 % (1789341)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2725047280_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (1789343)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=828503822:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (1789344)dis+10_1_sil=32000:sp=arity:random_seed=4026695332:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (1789345)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1729634758:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (1789342)...printing done.
% 0.09/0.26 % (1789347)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2555479864:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (1789346)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2796267935:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (1789342)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (1789342)------------------------------
% 0.09/0.26 % (1789342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (1789342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (1789342)CaDiCaL version: 2.1.3
% 0.09/0.26 % (1789342)Termination reason: Refutation
% 0.09/0.26 % (1789342)Time elapsed: 0.007 s
% 0.09/0.26 % (1789342)Peak memory usage: 13 MB
% 0.09/0.26 % (1789342)Instructions burned: 18 (million)
% 0.09/0.26 % (1789336)Success in time 0.037 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------