%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC419-1 : 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 : n011.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 01:05:58 PM UTC 2026
% Result : Unsatisfiable 0.93s 0.37s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 69 ( 18 unt; 7 def)
% Number of atoms : 163 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 191 ( 97 ~; 87 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 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(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X1,cons(X0,nil)),X2) != sk2
| app(app(X2,cons(X0,nil)),X1) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| sk2 != app(app(X1,cons(X0,nil)),X2)
| sk1 != app(app(X2,cons(X0,nil)),X1) ),
inference(reorient_equations,[],[f207]) ).
fof(f210,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f213,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( app(sk6,cons(sk5,nil)) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f215,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f214]) ).
fof(f218,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f219,plain,
! [X2,X0,X1] :
( sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| sk3 != app(app(X2,cons(X0,nil)),X1) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f251,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f253,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_2
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f257,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f258,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f215,f255,f251]) ).
fof(f260,definition,
( spl0_3
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f262,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f263,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f213,f260,f251]) ).
fof(f265,definition,
( spl0_4
<=> ssList(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f267,plain,
( ssList(sk6)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f265,f251]) ).
fof(f270,definition,
( spl0_5
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f272,plain,
( ssItem(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f210,f270,f251]) ).
fof(f288,definition,
( spl0_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f290,plain,
( ~ ssList(nil)
| spl0_9 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f340,plain,
sk3 = app(sk3,nil),
inference(resolution,[],[f73,f202]) ).
fof(f383,definition,
( spl0_20
<=> ssList(cons(sk5,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f384,plain,
( ssList(cons(sk5,nil))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( ~ ssList(cons(sk5,nil))
| spl0_20 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f413,plain,
( ~ ssList(nil)
| ~ ssItem(sk5)
| spl0_20 ),
inference(resolution,[],[f385,f86]) ).
fof(f417,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f253,f218]) ).
fof(f418,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f419,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f413,f383,f288,f270]) ).
fof(f467,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f290,f8]) ).
fof(f468,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f473,plain,
( cons(sk5,nil) = app(nil,cons(sk5,nil))
| ~ spl0_20 ),
inference(resolution,[],[f384,f74]) ).
fof(f476,plain,
( ! [X0] :
( sk4 != app(cons(sk5,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(sk5)
| sk3 != app(app(X0,cons(sk5,nil)),nil) )
| ~ spl0_20 ),
inference(superposition,[],[f219,f473]) ).
fof(f479,plain,
( ! [X0] :
( sk4 != app(cons(sk5,nil),X0)
| ~ ssList(X0)
| ~ ssItem(sk5)
| sk3 != app(app(X0,cons(sk5,nil)),nil) )
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f476,f8]) ).
fof(f481,plain,
( ! [X0] :
( sk3 != app(app(X0,cons(sk5,nil)),nil)
| ~ ssList(X0)
| sk4 != app(cons(sk5,nil),X0) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f479,f272]) ).
fof(f488,plain,
( sk3 != app(sk3,nil)
| ~ ssList(sk6)
| sk4 != app(cons(sk5,nil),sk6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_20 ),
inference(superposition,[],[f481,f257]) ).
fof(f489,plain,
( ~ ssList(sk6)
| sk4 != app(cons(sk5,nil),sk6)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f488,f340]) ).
fof(f491,plain,
( sk4 != app(cons(sk5,nil),sk6)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f489,f267]) ).
fof(f493,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f491,f262]) ).
fof(f494,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f493]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f258]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f263]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f268]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f273]) ).
cnf(s20,plain,
spl0_1,
inference(sat_conversion,[],[f418]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f419]) ).
cnf(s23,plain,
spl0_9,
inference(sat_conversion,[],[f468]) ).
cnf(s24,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(sat_conversion,[],[f494]) ).
cnf(s26,plain,
( ~ spl0_5
| spl0_20 ),
inference(rat,[],[s21,s23]) ).
cnf(s33,plain,
spl0_5,
inference(rat,[],[s4,s20]) ).
cnf(s34,plain,
spl0_20,
inference(rat,[],[s26,s33]) ).
cnf(s35,plain,
spl0_4,
inference(rat,[],[s3,s20]) ).
cnf(s36,plain,
spl0_3,
inference(rat,[],[s2,s20]) ).
cnf(s37,plain,
~ spl0_2,
inference(rat,[],[s24,s34,s33,s35,s36]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s1,s37,s20]) ).
fof(f505,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC419-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 09:34:00 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.93/0.37 % (3273041)Will run a generic schedule for satisfiability detection.
% 0.93/0.37 % (3273048)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2786763030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.93/0.37 % (3273047)% WARNING: option uhcvi not known.
% 0.93/0.37 % (3273046)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4286618118_2999 on theBenchmark for (2999ds/0Mi)
% 0.93/0.37 % (3273047)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1859308398:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.93/0.37 % (3273049)dis+10_1_sil=32000:sp=arity:random_seed=769163829:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.93/0.37 % (3273050)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=425279068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.93/0.37 % (3273052)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3108869571:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.93/0.37 % (3273051)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1366233701:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.93/0.37 % TRYING [1]
% 0.93/0.37 % TRYING [2]
% 0.93/0.37 % TRYING [3]
% 0.93/0.37 % TRYING [4]
% 0.93/0.37 % (3273049)Instruction limit reached!
% 0.93/0.37 % (3273049)------------------------------
% 0.93/0.37 % (3273049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3273049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3273049)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3273049)Termination reason: Instruction limit
% 0.93/0.37 % (3273049)Termination phase: Saturation
% 0.93/0.37 % (3273049)Time elapsed: 0.059 s
% 0.93/0.37 % (3273049)Peak memory usage: 13 MB
% 0.93/0.37 % (3273049)Instructions burned: 104 (million)
% 0.93/0.37 % (3273050)Instruction limit reached!
% 0.93/0.37 % (3273050)------------------------------
% 0.93/0.37 % (3273050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3273050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3273050)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3273050)Termination reason: Instruction limit
% 0.93/0.37 % (3273050)Termination phase: Saturation
% 0.93/0.37 % (3273050)Time elapsed: 0.062 s
% 0.93/0.37 % (3273050)Peak memory usage: 13 MB
% 0.93/0.37 % (3273050)Instructions burned: 118 (million)
% 0.93/0.37 % (3273051)Instruction limit reached!
% 0.93/0.37 % (3273051)------------------------------
% 0.93/0.37 % (3273051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3273051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3273051)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3273051)Termination reason: Instruction limit
% 0.93/0.37 % (3273051)Termination phase: Saturation
% 0.93/0.37 % (3273051)Time elapsed: 0.071 s
% 0.93/0.37 % (3273051)Peak memory usage: 13 MB
% 0.93/0.37 % (3273051)Instructions burned: 138 (million)
% 0.93/0.37 % (3273060)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3512039187:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.93/0.37 % (3273061)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=396790360:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.93/0.37 % (3273062)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2897186084:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.93/0.37 % TRYING [1]
% 0.93/0.37 % TRYING [2]
% 0.93/0.37 % (3273052)Instruction limit reached!
% 0.93/0.37 % (3273052)------------------------------
% 0.93/0.37 % (3273052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3273052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3273052)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3273052)Termination reason: Instruction limit
% 0.93/0.37 % (3273052)Termination phase: Saturation
% 0.93/0.37 % (3273052)Time elapsed: 0.093 s
% 0.93/0.37 % (3273052)Peak memory usage: 14 MB
% 0.93/0.37 % (3273052)Instructions burned: 160 (million)
% 0.93/0.37 % TRYING [3]
% 0.93/0.37 % (3273062) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3273041-3273062"...
% 0.93/0.37 % TRYING [5]
% 0.93/0.37 % (3273062)...printing done.
% 0.93/0.37 % (3273062)Refutation found. Thanks to Tanya!
% 0.93/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.93/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.93/0.37 % (3273062)------------------------------
% 0.93/0.37 % (3273062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.37 % (3273062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.37 % (3273062)CaDiCaL version: 2.1.3
% 0.93/0.37 % (3273062)Termination reason: Refutation
% 0.93/0.37 % (3273062)Time elapsed: 0.010 s
% 0.93/0.37 % (3273062)Peak memory usage: 13 MB
% 0.93/0.37 % (3273062)Instructions burned: 14 (million)
% 0.93/0.37 % (3273041)Success in time 0.151 s
% 0.93/0.37 % Vampire exiting
%------------------------------------------------------------------------------