%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 02:07:09 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of formulae : 57 ( 20 unt; 5 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 57 ~; 48 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 51 ( 0 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
n0(d,e),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_3) ).
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f39,axiom,
! [X0,X1] :
( k1(X0)
| ~ n0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f45,axiom,
! [X2,X0,X1] :
( m1(X0,X1,X0)
| ~ p0(X2,X1)
| ~ r0(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_007) ).
fof(f123,axiom,
! [X0,X1] :
( p1(X0,X0,X0)
| ~ p0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_085) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f193,axiom,
! [X2,X0,X1] :
( p2(X0,X1,X1)
| ~ k1(X2)
| ~ p2(e,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).
fof(f214,axiom,
! [X0,X1] :
( p2(X0,X1,X0)
| ~ m1(X1,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).
fof(f274,axiom,
! [X0] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f289,axiom,
! [X2,X3,X0,X1] :
( p3(X0,X1,X1)
| ~ m3(X1,X2,X3)
| ~ p2(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_251) ).
fof(f369,negated_conjecture,
~ p3(b,e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f372,plain,
~ n0(d,e),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f378,plain,
~ r0(b),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f404,plain,
! [X0,X1] :
( k1(X0)
| n0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f410,plain,
! [X2,X0,X1] :
( r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
inference(consistent_polarity_flipping,[],[f45]) ).
fof(f487,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ p0(X1,X0) ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f536,plain,
! [X2,X0,X1] :
( p1(X1,X2,X0)
| ~ n2(X0) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f621,plain,
! [X0] :
( n2(X0)
| m3(X0,X0,X0) ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f1025,definition,
( spl0_85
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f1026,plain,
( ~ r0(b)
| spl0_85 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1337,definition,
( spl0_163
<=> ! [X2] : ~ k1(X2) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1338,plain,
( ! [X2] : ~ k1(X2)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f1337]) ).
fof(f1340,definition,
( spl0_164
<=> ! [X0,X1] :
( p2(X0,X1,X1)
| ~ p2(e,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1341,plain,
( ! [X0,X1] :
( p2(X0,X1,X1)
| ~ p2(e,X0,X1) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( spl0_163
| spl0_164 ),
inference(avatar_split_clause,[],[f193,f1340,f1337]) ).
fof(f1820,plain,
~ spl0_85,
inference(avatar_split_clause,[],[f378,f1025]) ).
fof(f1852,plain,
( ! [X0,X1] : n0(X0,X1)
| ~ spl0_163 ),
inference(resolution,[],[f404,f1338]) ).
fof(f1853,plain,
( $false
| ~ spl0_163 ),
inference(resolution,[],[f1852,f372]) ).
fof(f1868,plain,
~ spl0_163,
inference(avatar_contradiction_clause,[],[f1853]) ).
fof(f2055,plain,
! [X0,X1] :
( ~ p0(X0,X1)
| ~ n2(X1) ),
inference(resolution,[],[f487,f536]) ).
fof(f2056,plain,
! [X0] : ~ n2(X0),
inference(resolution,[],[f2055,f14]) ).
fof(f2060,plain,
! [X0] : m3(X0,X0,X0),
inference(resolution,[],[f2056,f621]) ).
fof(f2248,plain,
( ! [X0,X1] :
( m1(b,X1,b)
| ~ p0(X0,X1) )
| spl0_85 ),
inference(resolution,[],[f410,f1026]) ).
fof(f2301,definition,
( spl0_284
<=> ! [X0] : ~ p0(X0,e) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
fof(f2302,plain,
( ! [X0] : ~ p0(X0,e)
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f3521,plain,
! [X0,X1] :
( ~ m3(e,X0,X1)
| ~ p2(b,e,X1) ),
inference(resolution,[],[f289,f369]) ).
fof(f3523,plain,
~ p2(b,e,e),
inference(resolution,[],[f3521,f2060]) ).
fof(f3533,definition,
( spl0_399
<=> p2(b,e,e) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
fof(f3535,plain,
( ~ p2(b,e,e)
| spl0_399 ),
inference(avatar_component_clause,[],[f3533]) ).
fof(f3538,plain,
~ spl0_399,
inference(avatar_split_clause,[],[f3523,f3533]) ).
fof(f3551,plain,
( ~ p2(e,b,e)
| ~ spl0_164
| spl0_399 ),
inference(resolution,[],[f3535,f1341]) ).
fof(f3553,plain,
( ~ m1(b,e,b)
| ~ spl0_164
| spl0_399 ),
inference(resolution,[],[f3551,f214]) ).
fof(f3554,plain,
( ! [X0] : ~ p0(X0,e)
| spl0_85
| ~ spl0_164
| spl0_399 ),
inference(resolution,[],[f3553,f2248]) ).
fof(f3556,plain,
( spl0_284
| spl0_85
| ~ spl0_164
| spl0_399 ),
inference(avatar_split_clause,[],[f3554,f3533,f1340,f1025,f2301]) ).
fof(f3576,plain,
( $false
| ~ spl0_284 ),
inference(resolution,[],[f2302,f14]) ).
fof(f3577,plain,
~ spl0_284,
inference(avatar_contradiction_clause,[],[f3576]) ).
cnf(s74,plain,
( spl0_163
| spl0_164 ),
inference(sat_conversion,[],[f1342]) ).
cnf(s153,plain,
~ spl0_85,
inference(sat_conversion,[],[f1820]) ).
cnf(s178,plain,
~ spl0_163,
inference(sat_conversion,[],[f1868]) ).
cnf(s434,plain,
~ spl0_399,
inference(sat_conversion,[],[f3538]) ).
cnf(s439,plain,
( spl0_85
| ~ spl0_164
| spl0_284
| spl0_399 ),
inference(sat_conversion,[],[f3556]) ).
cnf(s441,plain,
~ spl0_284,
inference(sat_conversion,[],[f3577]) ).
cnf(s442,plain,
( spl0_85
| ~ spl0_164
| spl0_399 ),
inference(rat,[],[s439,s441]) ).
cnf(s496,plain,
~ spl0_164,
inference(rat,[],[s442,s434,s153]) ).
cnf(s595,plain,
$false,
inference(rat,[],[s74,s496,s178]) ).
fof(f3578,plain,
$false,
inference(avatar_sat_refutation,[],[s595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n018.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 15:42:30 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 0.21/0.31 % (3496657)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (3496670)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2563696240:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % (3496665)% WARNING: option uhcvi not known.
% 0.21/0.31 % (3496665)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3803457972:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (3496664)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1775126297_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (3496667)dis+10_1_sil=32000:sp=arity:random_seed=647149839:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (3496666)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=34694588:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (3496668)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3933246049:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (3496669)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=703419935:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (3496670) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3496657-3496670"...
% 0.21/0.31 % (3496670)...printing done.
% 0.21/0.31 % (3496670)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3496670)------------------------------
% 0.21/0.31 % (3496670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3496670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3496670)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3496670)Termination reason: Refutation
% 0.21/0.31 % (3496670)Time elapsed: 0.024 s
% 0.21/0.31 % (3496670)Peak memory usage: 14 MB
% 0.21/0.31 % (3496670)Instructions burned: 61 (million)
% 0.21/0.31 % (3496657)Success in time 0.063 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------