%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC292-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:05:25 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 18 unt; 7 def)
% Number of atoms : 119 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 116 ( 55 ~; 54 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause3) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
fof(f101,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
file('/export/starexec/sandbox2/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(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
~ strictorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
( sk3 = cons(sk5,nil)
| ~ neq(sk4,nil) ),
inference(reorient_equations,[],[f209]) ).
fof(f214,plain,
~ strictorderedP(sk3),
inference(definition_unfolding,[],[f206,f205]) ).
fof(f244,definition,
( spl0_1
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f246,plain,
( ~ neq(sk4,nil)
| spl0_1 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f253,definition,
( spl0_3
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f255,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f210,f253,f244]) ).
fof(f258,definition,
( spl0_4
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f260,plain,
( ssItem(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f258,f244]) ).
fof(f263,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f265,plain,
( nil != sk4
| spl0_5 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f267,definition,
( spl0_6
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f269,plain,
( nil = sk3
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f207,f267,f263]) ).
fof(f276,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f277,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f285,definition,
( spl0_10
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f286,plain,
( ! [X1] :
( strictorderedP(cons(X1,nil))
| ~ ssItem(X1) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f311,plain,
spl0_10,
inference(avatar_split_clause,[],[f66,f285]) ).
fof(f312,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f276]) ).
fof(f516,plain,
( ~ ssList(sk4)
| ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(resolution,[],[f102,f246]) ).
fof(f517,plain,
( ~ ssList(nil)
| nil = sk4
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f516,f203]) ).
fof(f518,plain,
( nil = sk4
| spl0_1
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f517,f277]) ).
fof(f519,plain,
( $false
| spl0_1
| spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f518,f265]) ).
fof(f520,plain,
( spl0_1
| spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f528,plain,
( ~ strictorderedP(nil)
| ~ spl0_6 ),
inference(superposition,[],[f214,f269]) ).
fof(f530,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f528,f3]) ).
fof(f531,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f538,plain,
( strictorderedP(sk3)
| ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f286,f255]) ).
fof(f542,plain,
( ~ ssItem(sk5)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f538,f214]) ).
fof(f559,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f542,f260]) ).
fof(f560,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f559]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f256]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s4,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f270]) ).
cnf(s13,plain,
spl0_10,
inference(sat_conversion,[],[f311]) ).
cnf(s14,plain,
spl0_8,
inference(sat_conversion,[],[f312]) ).
cnf(s15,plain,
( spl0_1
| spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f520]) ).
cnf(s16,plain,
~ spl0_6,
inference(sat_conversion,[],[f531]) ).
cnf(s18,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(sat_conversion,[],[f560]) ).
cnf(s23,plain,
~ spl0_5,
inference(rat,[],[s4,s16]) ).
cnf(s24,plain,
spl0_1,
inference(rat,[],[s15,s14,s23]) ).
cnf(s25,plain,
spl0_4,
inference(rat,[],[s3,s24]) ).
cnf(s26,plain,
~ spl0_3,
inference(rat,[],[s18,s13,s25]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s2,s26,s24]) ).
fof(f562,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC292-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 09:00:56 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.25 % (229139)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (229148)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1168777762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.25 % (229145)% WARNING: option uhcvi not known.
% 0.08/0.25 % (229148) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-229139-229148"...
% 0.08/0.25 % (229146)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1655396565:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.25 % (229144)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2226564012_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % (229147)dis+10_1_sil=32000:sp=arity:random_seed=1117226226:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (229149)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=769089477:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.25 % (229150)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=313614038:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.25 % (229148)...printing done.
% 0.08/0.25 % (229145)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1177717274:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (229148)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (229148)------------------------------
% 0.08/0.25 % (229148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (229148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (229148)CaDiCaL version: 2.1.3
% 0.08/0.25 % (229148)Termination reason: Refutation
% 0.08/0.25 % (229148)Time elapsed: 0.008 s
% 0.08/0.25 % (229148)Peak memory usage: 13 MB
% 0.08/0.25 % (229148)Instructions burned: 23 (million)
% 0.08/0.25 % (229139)Success in time 0.036 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------