%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 02:06:47 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 15 unt; 2 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 28 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_9) ).
fof(f14,axiom,
! [X0] : p0(b,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).
fof(f19,axiom,
! [X0,X1] : m0(X0,d,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_19) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).
fof(f39,axiom,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_001) ).
fof(f45,axiom,
! [X2,X0,X1] :
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_007) ).
fof(f159,axiom,
! [X2,X0,X1] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_121) ).
fof(f165,axiom,
! [X2,X3,X0,X1] :
( ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1)
| ~ k2(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_127) ).
fof(f167,axiom,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_129) ).
fof(f369,negated_conjecture,
~ k2(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f703,definition,
( spl0_85
<=> r0(b) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f704,plain,
( r0(b)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f1087,definition,
( spl0_181
<=> k1(c) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
fof(f1088,plain,
( k1(c)
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1489,plain,
spl0_85,
inference(avatar_split_clause,[],[f9,f703]) ).
fof(f1536,plain,
k1(c),
inference(resolution,[],[f39,f26]) ).
fof(f1564,plain,
spl0_181,
inference(avatar_split_clause,[],[f1536,f1087]) ).
fof(f1971,plain,
! [X0] : q1(X0,X0,X0),
inference(resolution,[],[f159,f19]) ).
fof(f1989,plain,
! [X0] : k2(X0,X0),
inference(resolution,[],[f1971,f167]) ).
fof(f2224,plain,
( ! [X0,X1] :
( ~ p0(X0,X1)
| m1(b,X1,b) )
| ~ spl0_85 ),
inference(resolution,[],[f45,f704]) ).
fof(f2624,plain,
( ! [X0] : m1(b,X0,b)
| ~ spl0_85 ),
inference(resolution,[],[f2224,f14]) ).
fof(f2871,plain,
( ! [X2,X0,X1] :
( ~ k2(c,X1)
| k2(X2,X1)
| ~ m1(X0,X1,X2) )
| ~ spl0_181 ),
inference(resolution,[],[f165,f1088]) ).
fof(f3769,plain,
( ! [X0,X1] :
( ~ m1(X1,c,X0)
| k2(X0,c) )
| ~ spl0_181 ),
inference(resolution,[],[f2871,f1989]) ).
fof(f4559,plain,
( k2(b,c)
| ~ spl0_85
| ~ spl0_181 ),
inference(resolution,[],[f3769,f2624]) ).
fof(f4562,plain,
( $false
| ~ spl0_85
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f4559,f369]) ).
fof(f4563,plain,
( ~ spl0_85
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f4562]) ).
cnf(s152,plain,
spl0_85,
inference(sat_conversion,[],[f1489]) ).
cnf(s185,plain,
spl0_181,
inference(sat_conversion,[],[f1564]) ).
cnf(s433,plain,
( ~ spl0_85
| ~ spl0_181 ),
inference(sat_conversion,[],[f4563]) ).
cnf(s447,plain,
~ spl0_85,
inference(rat,[],[s433,s185]) ).
cnf(s453,plain,
$false,
inference(rat,[],[s152,s447]) ).
fof(f4566,plain,
$false,
inference(avatar_sat_refutation,[],[s453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 15:34:25 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 0.21/0.28 % (4058814)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (4058831)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=736196671:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (4058827)% WARNING: option uhcvi not known.
% 0.21/0.28 % (4058828)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=690062819:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (4058826)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2377491604_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (4058827)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=784535626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (4058829)dis+10_1_sil=32000:sp=arity:random_seed=4081832997:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (4058832)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=312241639:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (4058830)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4217032615:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (4058831) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4058814-4058831"...
% 0.21/0.28 % Detected minimum model sizes of [1]
% 0.21/0.28 % Detected maximum model sizes of [5]
% 0.21/0.28 % TRYING [1]
% 0.21/0.28 % (4058831)...printing done.
% 0.21/0.28 % (4058831)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (4058831)------------------------------
% 0.21/0.29 % (4058831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (4058831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (4058831)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4058831)Termination reason: Refutation
% 0.21/0.29 % (4058831)Time elapsed: 0.028 s
% 0.21/0.29 % (4058831)Peak memory usage: 14 MB
% 0.21/0.29 % (4058831)Instructions burned: 71 (million)
% 0.21/0.29 % (4058814)Success in time 0.051 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------