%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC198-1 : 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 : n015.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 01:05:04 PM UTC 2026
% Result : Unsatisfiable 0.56s 0.57s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 46 ( 9 unt; 3 def)
% Number of atoms : 119 ( 22 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 143 ( 70 ~; 70 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause10) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f173,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X2 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| X0 = X2 ),
inference(reorient_equations,[],[f173]) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk1,sk5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| X0 != sk5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,plain,
! [X0] :
( sk5(X0) != X0
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f208]) ).
fof(f211,negated_conjecture,
( ssItem(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f216,negated_conjecture,
( cons(sk6,nil) = sk3
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f217,plain,
( sk3 = cons(sk6,nil)
| nil = sk3 ),
inference(reorient_equations,[],[f216]) ).
fof(f222,plain,
! [X0] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f254,definition,
( spl0_1
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f256,plain,
( nil = sk3
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f267,definition,
( spl0_4
<=> sk3 = cons(sk6,nil) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f269,plain,
( sk3 = cons(sk6,nil)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f217,f267,f254]) ).
fof(f279,definition,
( spl0_6
<=> ssItem(sk6) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f281,plain,
( ssItem(sk6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f211,f279,f254]) ).
fof(f325,plain,
( ! [X0] :
( memberP(nil,sk5(X0))
| ~ ssItem(X0) )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f222,f256]) ).
fof(f326,plain,
( ! [X0] :
( ~ ssItem(sk5(X0))
| ~ ssItem(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f71,f325]) ).
fof(f327,plain,
( ! [X0] : ~ ssItem(X0)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f326,f206]) ).
fof(f328,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f327,f10]) ).
fof(f331,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f356,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4 ),
inference(superposition,[],[f174,f269]) ).
fof(f359,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(sk6)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f356,f8]) ).
fof(f360,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| memberP(nil,X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f359,f281]) ).
fof(f361,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk6 = X0 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f360,f71]) ).
fof(f362,plain,
( ! [X0] :
( ~ ssItem(sk5(X0))
| sk5(X0) = sk6
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f361,f222]) ).
fof(f364,plain,
( ! [X0] :
( ~ ssItem(X0)
| sk5(X0) = sk6 )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f362,f206]) ).
fof(f378,plain,
( sk6 = sk5(sk6)
| ~ spl0_4
| ~ spl0_6 ),
inference(resolution,[],[f364,f281]) ).
fof(f388,plain,
( sk6 != sk6
| ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f209,f378]) ).
fof(f390,plain,
( ~ ssItem(sk6)
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f388]) ).
fof(f391,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f390,f281]) ).
fof(f392,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f391]) ).
cnf(s3,plain,
( spl0_1
| spl0_4 ),
inference(sat_conversion,[],[f270]) ).
cnf(s7,plain,
( spl0_1
| spl0_6 ),
inference(sat_conversion,[],[f282]) ).
cnf(s17,plain,
~ spl0_1,
inference(sat_conversion,[],[f331]) ).
cnf(s19,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f392]) ).
cnf(s20,plain,
spl0_6,
inference(rat,[],[s7,s17]) ).
cnf(s21,plain,
~ spl0_4,
inference(rat,[],[s19,s20]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s3,s21,s17]) ).
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC198-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 08:28:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.56/0.56 % (2470516)Will run a generic schedule for satisfiability detection.
% 0.56/0.56 % (2470521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2217052570_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.56 % (2470522)% WARNING: option uhcvi not known.
% 0.56/0.56 % TRYING [1]
% 0.56/0.56 % TRYING [2]
% 0.56/0.56 % (2470522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2715479699:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.56 % (2470523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1392838895:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.56 % (2470524)dis+10_1_sil=32000:sp=arity:random_seed=3910358044:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.56 % (2470525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2210898315:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.56 % (2470526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2077296770:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.56 % (2470527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1334665879:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.57 % TRYING [3]
% 0.56/0.57 % TRYING [4]
% 0.56/0.57 % TRYING [5]
% 0.56/0.57 % (2470524)Instruction limit reached!
% 0.56/0.57 % (2470524)------------------------------
% 0.56/0.57 % (2470524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.57 % (2470524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.57 % (2470524)CaDiCaL version: 2.1.3
% 0.56/0.57 % (2470524)Termination reason: Instruction limit
% 0.56/0.57 % (2470524)Termination phase: Saturation
% 0.56/0.57 % (2470524)Time elapsed: 0.059 s
% 0.56/0.57 % (2470524)Peak memory usage: 13 MB
% 0.56/0.57 % (2470524)Instructions burned: 105 (million)
% 0.56/0.57 % (2470525)Instruction limit reached!
% 0.56/0.57 % (2470525)------------------------------
% 0.56/0.57 % (2470525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.57 % (2470525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.57 % (2470525)CaDiCaL version: 2.1.3
% 0.56/0.57 % (2470525)Termination reason: Instruction limit
% 0.56/0.57 % (2470525)Termination phase: Saturation
% 0.56/0.57 % (2470525)Time elapsed: 0.063 s
% 0.56/0.57 % (2470525)Peak memory usage: 13 MB
% 0.56/0.57 % (2470525)Instructions burned: 117 (million)
% 0.56/0.57 % (2470526)Instruction limit reached!
% 0.56/0.57 % (2470526)------------------------------
% 0.56/0.57 % (2470526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.57 % (2470526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.57 % (2470526)CaDiCaL version: 2.1.3
% 0.56/0.57 % (2470526)Termination reason: Instruction limit
% 0.56/0.57 % (2470526)Termination phase: Saturation
% 0.56/0.57 % (2470526)Time elapsed: 0.069 s
% 0.56/0.57 % (2470526)Peak memory usage: 14 MB
% 0.56/0.57 % (2470526)Instructions burned: 136 (million)
% 0.56/0.57 % (2470535)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2794660366:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.56/0.57 % (2470536)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3107633646:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.57 % (2470527)Instruction limit reached!
% 0.56/0.57 % (2470527)------------------------------
% 0.56/0.57 % (2470527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.57 % (2470527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.57 % (2470527)CaDiCaL version: 2.1.3
% 0.56/0.57 % (2470527)Termination reason: Instruction limit
% 0.56/0.57 % (2470527)Termination phase: Saturation
% 0.56/0.57 % (2470527)Time elapsed: 0.087 s
% 0.56/0.57 % (2470527)Peak memory usage: 14 MB
% 0.56/0.57 % (2470527)Instructions burned: 159 (million)
% 0.56/0.57 % (2470537)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=4180446784:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.56/0.57 % TRYING [1]
% 0.56/0.57 % TRYING [2]
% 0.56/0.57 % (2470537) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2470516-2470537"...
% 0.56/0.57 % TRYING [3]
% 0.56/0.57 % (2470537)...printing done.
% 0.56/0.57 % (2470537)Refutation found. Thanks to Tanya!
% 0.56/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.57 % (2470537)------------------------------
% 0.56/0.57 % (2470537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.57 % (2470537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.57 % (2470537)CaDiCaL version: 2.1.3
% 0.56/0.57 % (2470537)Termination reason: Refutation
% 0.56/0.57 % (2470537)Time elapsed: 0.007 s
% 0.56/0.57 % (2470537)Peak memory usage: 13 MB
% 0.56/0.57 % (2470537)Instructions burned: 10 (million)
% 0.56/0.57 % (2470516)Success in time 0.135 s
% 0.56/0.57 % Vampire exiting
%------------------------------------------------------------------------------