%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN241-1 : 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 : n012.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 02:07:06 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.16s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 10 unt; 2 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 5 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_1) ).
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f61,axiom,
( m1(a,a,a)
| ~ l0(a)
| ~ s0(d) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_023) ).
fof(f369,negated_conjecture,
! [X0] : ~ m1(a,a,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f865,definition,
( spl0_125
<=> s0(d) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f1241,definition,
( spl0_218
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1438,plain,
( ~ l0(a)
| ~ s0(d) ),
inference(forward_subsumption_resolution,[],[f61,f369]) ).
fof(f1483,plain,
spl0_218,
inference(avatar_split_clause,[],[f20,f1241]) ).
fof(f1490,plain,
spl0_125,
inference(avatar_split_clause,[],[f1,f865]) ).
fof(f1491,plain,
( ~ spl0_125
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f1438,f1241,f865]) ).
cnf(s147,plain,
spl0_218,
inference(sat_conversion,[],[f1483]) ).
cnf(s154,plain,
spl0_125,
inference(sat_conversion,[],[f1490]) ).
cnf(s155,plain,
( ~ spl0_125
| ~ spl0_218 ),
inference(sat_conversion,[],[f1491]) ).
cnf(s156,plain,
~ spl0_218,
inference(rat,[],[s155,s154]) ).
cnf(s157,plain,
$false,
inference(rat,[],[s147,s156]) ).
fof(f1492,plain,
$false,
inference(avatar_sat_refutation,[],[s157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN241-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 15:38:50 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.12 Running first-order model finding
% 0.09/0.12 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
% 0.09/0.16 % (3463980)Will run a generic schedule for satisfiability detection.
% 0.09/0.16 % (3463996)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=589774780:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.16 % (3463997)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1874570609:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.16 % (3463993)% WARNING: option uhcvi not known.
% 0.09/0.16 % (3463992)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=358475251_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.16 % (3463993)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2482783737:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.16 % (3463994)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2277063368:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.16 % (3463997) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3463980-3463997"...
% 0.09/0.16 % (3463997)...printing done.
% 0.09/0.16 % (3463995)dis+10_1_sil=32000:sp=arity:random_seed=2017765603:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.16 % (3463998)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2625532863:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.16 % (3463997)Refutation found. Thanks to Tanya!
% 0.09/0.16 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.16 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.16 % (3463997)------------------------------
% 0.09/0.16 % (3463997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.16 % (3463997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.16 % (3463997)CaDiCaL version: 2.1.3
% 0.09/0.16 % (3463997)Termination reason: Refutation
% 0.09/0.16 % (3463997)Time elapsed: 0.005 s
% 0.09/0.16 % (3463997)Peak memory usage: 13 MB
% 0.09/0.16 % (3463997)Instructions burned: 9 (million)
% 0.09/0.16 % (3463980)Success in time 0.026 s
% 0.09/0.16 % Vampire exiting
%------------------------------------------------------------------------------