%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC200-1 : 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 : n017.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 0.16s 0.56s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 14 unt; 2 def)
% Number of atoms : 105 ( 21 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 59 ~; 57 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 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(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause9) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause10) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f103,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
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/sandbox/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(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
singletonP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X0] :
( ssItem(sk5(X0))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| memberP(sk1,sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ ssItem(X0)
| X0 != sk5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
! [X0] :
( sk5(X0) != X0
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f209]) ).
fof(f213,plain,
! [X0] :
( memberP(sk3,sk5(X0))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f283,plain,
( ~ ssList(sk3)
| sk3 = cons(skaf44(sk3),nil) ),
inference(resolution,[],[f103,f206]) ).
fof(f284,plain,
sk3 = cons(skaf44(sk3),nil),
inference(forward_subsumption_resolution,[],[f283,f202]) ).
fof(f287,definition,
( spl0_10
<=> ssItem(skaf44(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f289,plain,
( ~ ssItem(skaf44(sk3))
| spl0_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f303,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(nil)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 ),
inference(superposition,[],[f174,f284]) ).
fof(f306,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| memberP(nil,X0)
| skaf44(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f303,f8]) ).
fof(f307,plain,
! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(skaf44(sk3))
| ~ ssItem(X0)
| skaf44(sk3) = X0 ),
inference(forward_subsumption_resolution,[],[f306,f71]) ).
fof(f309,definition,
( spl0_12
<=> ! [X0] :
( ~ memberP(sk3,X0)
| skaf44(sk3) = X0
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f310,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| skaf44(sk3) = X0
| ~ ssItem(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f307,f309,f287]) ).
fof(f312,plain,
( ! [X0] :
( sk5(X0) = skaf44(sk3)
| ~ ssItem(sk5(X0))
| ~ ssItem(X0) )
| ~ spl0_12 ),
inference(resolution,[],[f310,f213]) ).
fof(f314,plain,
( ! [X0] :
( ~ ssItem(X0)
| sk5(X0) = skaf44(sk3) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f312,f207]) ).
fof(f316,plain,
( skaf44(sk3) = sk5(skac3)
| ~ spl0_12 ),
inference(resolution,[],[f314,f9]) ).
fof(f317,plain,
( skaf44(sk3) = sk5(skac2)
| ~ spl0_12 ),
inference(resolution,[],[f314,f10]) ).
fof(f320,plain,
( sk5(skac3) = sk5(skac2)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f317,f316]) ).
fof(f325,plain,
( ssItem(sk5(skac3))
| ~ ssItem(skac2)
| ~ spl0_12 ),
inference(superposition,[],[f207,f320]) ).
fof(f326,plain,
( ssItem(sk5(skac3))
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f325,f10]) ).
fof(f329,plain,
( skaf44(sk3) = sk5(sk5(skac3))
| ~ spl0_12 ),
inference(resolution,[],[f326,f314]) ).
fof(f330,plain,
( sk5(skac3) = sk5(sk5(skac3))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f329,f316]) ).
fof(f368,plain,
( sk5(skac3) != sk5(skac3)
| ~ ssItem(sk5(skac3))
| ~ spl0_12 ),
inference(superposition,[],[f210,f330]) ).
fof(f370,plain,
( ~ ssItem(sk5(skac3))
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f371,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f370,f326]) ).
fof(f372,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f376,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f47,f289]) ).
fof(f377,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f376]) ).
cnf(s9,plain,
( ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f311]) ).
cnf(s10,plain,
~ spl0_12,
inference(sat_conversion,[],[f372]) ).
cnf(s11,plain,
spl0_10,
inference(sat_conversion,[],[f377]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s9,s10,s11]) ).
fof(f378,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC200-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 08:21:51 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.56 % (3395309)Will run a generic schedule for satisfiability detection.
% 0.16/0.56 % (3395315)% WARNING: option uhcvi not known.
% 0.16/0.56 % (3395315)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3336709130:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.56 % (3395314)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2256086882_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.56 % (3395316)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2333042121:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.56 % (3395317)dis+10_1_sil=32000:sp=arity:random_seed=3515452262:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.56 % (3395318)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1603523917:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.56 % (3395320)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2056733221:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.56 % (3395319)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4150771581:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % TRYING [3]
% 0.16/0.56 % TRYING [4]
% 0.16/0.56 % (3395317)Instruction limit reached!
% 0.16/0.56 % (3395317)------------------------------
% 0.16/0.56 % (3395317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3395317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3395317)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3395317)Termination reason: Instruction limit
% 0.16/0.56 % (3395317)Termination phase: Saturation
% 0.16/0.56 % (3395317)Time elapsed: 0.058 s
% 0.16/0.56 % (3395317)Peak memory usage: 13 MB
% 0.16/0.56 % (3395317)Instructions burned: 104 (million)
% 0.16/0.56 % (3395318)Instruction limit reached!
% 0.16/0.56 % (3395318)------------------------------
% 0.16/0.56 % (3395318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3395318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3395318)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3395318)Termination reason: Instruction limit
% 0.16/0.56 % (3395318)Termination phase: Saturation
% 0.16/0.56 % (3395318)Time elapsed: 0.059 s
% 0.16/0.56 % (3395318)Peak memory usage: 13 MB
% 0.16/0.56 % (3395318)Instructions burned: 116 (million)
% 0.16/0.56 % (3395319)Instruction limit reached!
% 0.16/0.56 % (3395319)------------------------------
% 0.16/0.56 % (3395319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3395319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3395319)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3395319)Termination reason: Instruction limit
% 0.16/0.56 % (3395319)Termination phase: Saturation
% 0.16/0.56 % (3395319)Time elapsed: 0.066 s
% 0.16/0.56 % (3395319)Peak memory usage: 14 MB
% 0.16/0.56 % (3395319)Instructions burned: 133 (million)
% 0.16/0.56 % (3395329)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2945323090:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.56 % (3395328)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2332118712:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.56 % (3395320)Instruction limit reached!
% 0.16/0.56 % (3395320)------------------------------
% 0.16/0.56 % (3395320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3395320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3395320)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3395320)Termination reason: Instruction limit
% 0.16/0.56 % (3395320)Termination phase: Saturation
% 0.16/0.56 % (3395320)Time elapsed: 0.084 s
% 0.16/0.56 % (3395320)Peak memory usage: 15 MB
% 0.16/0.56 % (3395320)Instructions burned: 159 (million)
% 0.16/0.56 % (3395330)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=694202620:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.16/0.56 % TRYING [1]
% 0.16/0.56 % TRYING [2]
% 0.16/0.56 % (3395330) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3395309-3395330"...
% 0.16/0.56 % TRYING [5]
% 0.16/0.56 % (3395330)...printing done.
% 0.16/0.56 % (3395330)Refutation found. Thanks to Tanya!
% 0.16/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.56 % (3395330)------------------------------
% 0.16/0.56 % (3395330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.56 % (3395330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.56 % (3395330)CaDiCaL version: 2.1.3
% 0.16/0.56 % (3395330)Termination reason: Refutation
% 0.16/0.56 % (3395330)Time elapsed: 0.008 s
% 0.16/0.56 % (3395330)Peak memory usage: 13 MB
% 0.16/0.56 % (3395330)Instructions burned: 11 (million)
% 0.16/0.56 % (3395309)Success in time 0.136 s
% 0.16/0.56 % Vampire exiting
%------------------------------------------------------------------------------