%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC207-1 : 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 : n002.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 01:05:06 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 16 unt; 5 def)
% Number of atoms : 113 ( 24 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 116 ( 57 ~; 54 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 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] :
( nil != cons(X0,X1)
| ~ ssItem(X0)
| ~ 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(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,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
( cons(sk5,nil) = sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
( sk3 = cons(sk5,nil)
| nil = sk4 ),
inference(reorient_equations,[],[f210]) ).
fof(f220,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f206,f204]) ).
fof(f221,plain,
~ neq(sk3,nil),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f297,plain,
! [X0,X1] :
( nil != cons(X0,X1)
| ssItem(X0)
| ~ ssList(X1) ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f366,plain,
( ~ ssItem(sk5)
| nil = sk4 ),
inference(consistent_polarity_flipping,[],[f208]) ).
fof(f379,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f381,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f392,definition,
( spl0_4
<=> sk3 = cons(sk5,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f394,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f397,definition,
( spl0_5
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f399,plain,
( nil = sk4
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f402,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f211,f392,f397]) ).
fof(f404,definition,
( spl0_6
<=> ssItem(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f408,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f366,f404,f397]) ).
fof(f414,definition,
( spl0_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f415,plain,
( ssList(nil)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f450,plain,
spl0_8,
inference(avatar_split_clause,[],[f8,f414]) ).
fof(f578,plain,
( ~ ssList(sk3)
| ~ ssList(nil)
| nil = sk3 ),
inference(resolution,[],[f102,f221]) ).
fof(f581,plain,
( ~ ssList(nil)
| nil = sk3 ),
inference(forward_subsumption_resolution,[],[f578,f202]) ).
fof(f582,plain,
( nil = sk3
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f581,f415]) ).
fof(f585,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f582,f414,f379]) ).
fof(f587,plain,
( ~ neq(nil,nil)
| ~ spl0_1 ),
inference(superposition,[],[f221,f381]) ).
fof(f593,plain,
( neq(nil,nil)
| ~ spl0_5 ),
inference(superposition,[],[f220,f399]) ).
fof(f599,plain,
( nil = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f394,f381]) ).
fof(f618,plain,
( nil != nil
| ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f297,f599]) ).
fof(f619,plain,
( ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f618]) ).
fof(f623,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f593,f587]) ).
fof(f624,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f625,plain,
( ssItem(sk5)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f619,f415]) ).
fof(f626,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f625,f414,f392,f379,f404]) ).
cnf(s6,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f402]) ).
cnf(s8,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f408]) ).
cnf(s18,plain,
spl0_8,
inference(sat_conversion,[],[f450]) ).
cnf(s21,plain,
( spl0_1
| ~ spl0_8 ),
inference(sat_conversion,[],[f585]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(sat_conversion,[],[f624]) ).
cnf(s26,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f626]) ).
cnf(s27,plain,
spl0_1,
inference(rat,[],[s21,s18]) ).
cnf(s28,plain,
~ spl0_5,
inference(rat,[],[s25,s27]) ).
cnf(s33,plain,
~ spl0_6,
inference(rat,[],[s8,s28]) ).
cnf(s34,plain,
~ spl0_4,
inference(rat,[],[s26,s18,s27,s33]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s6,s28,s34]) ).
fof(f627,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC207-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 08:30:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.46 % (210738)Will run a generic schedule for satisfiability detection.
% 0.17/0.46 % (210744)% WARNING: option uhcvi not known.
% 0.17/0.46 % (210744)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1487673043:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.46 % (210744) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-210738-210744"...
% 0.17/0.46 % (210743)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2770450943_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.46 % (210745)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3719832403:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.46 % (210746)dis+10_1_sil=32000:sp=arity:random_seed=4133250822:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.46 % (210744)...printing done.
% 0.17/0.46 % (210747)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2697204288:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.46 % (210749)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1183897845:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.46 % (210748)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=593741721:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.46 % (210744)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (210744)------------------------------
% 0.17/0.46 % (210744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (210744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (210744)CaDiCaL version: 2.1.3
% 0.17/0.46 % (210744)Termination reason: Refutation
% 0.17/0.46 % (210744)Time elapsed: 0.006 s
% 0.17/0.46 % (210744)Peak memory usage: 13 MB
% 0.17/0.46 % (210744)Instructions burned: 14 (million)
% 0.17/0.46 % (210738)Success in time 0.035 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------