%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN135-1 : 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 : n011.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 02:06:51 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 3 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 13 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).
fof(f126,axiom,
( p1(a,a,a)
| ~ l0(a) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_088) ).
fof(f175,axiom,
! [X2,X0,X1] :
( n2(X0)
| ~ p1(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).
fof(f274,axiom,
! [X0] :
( m3(X0,X0,X0)
| ~ n2(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_236) ).
fof(f369,negated_conjecture,
! [X0,X1] : ~ m3(X0,X1,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f578,plain,
! [X0] :
( ~ m3(X0,X0,X0)
| ~ n2(X0) ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f657,plain,
! [X0,X1] : m3(X0,X1,a),
inference(consistent_polarity_flipping,[],[f369]) ).
fof(f1384,definition,
( spl0_183
<=> n2(a) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
fof(f1385,plain,
( ~ n2(a)
| spl0_183 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1528,definition,
( spl0_218
<=> l0(a) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
fof(f1532,definition,
( spl0_219
<=> p1(a,a,a) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
fof(f1534,plain,
( p1(a,a,a)
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1535,plain,
( ~ spl0_218
| spl0_219 ),
inference(avatar_split_clause,[],[f126,f1532,f1528]) ).
fof(f1774,plain,
spl0_218,
inference(avatar_split_clause,[],[f20,f1528]) ).
fof(f1905,plain,
( ! [X0,X1] : ~ p1(X0,X1,a)
| spl0_183 ),
inference(resolution,[],[f175,f1385]) ).
fof(f1906,plain,
( $false
| spl0_183
| ~ spl0_219 ),
inference(resolution,[],[f1905,f1534]) ).
fof(f1909,plain,
( spl0_183
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f1906]) ).
fof(f1939,plain,
~ n2(a),
inference(resolution,[],[f578,f657]) ).
fof(f1940,plain,
~ spl0_183,
inference(avatar_split_clause,[],[f1939,f1384]) ).
cnf(s105,plain,
( ~ spl0_218
| spl0_219 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s148,plain,
spl0_218,
inference(sat_conversion,[],[f1774]) ).
cnf(s213,plain,
( spl0_183
| ~ spl0_219 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s219,plain,
~ spl0_183,
inference(sat_conversion,[],[f1940]) ).
cnf(s220,plain,
~ spl0_219,
inference(rat,[],[s213,s219]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s105,s220,s148]) ).
fof(f1941,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN135-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n011.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 15:36:46 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.19/0.29 % (3473282)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (3473293)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1926677681:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (3473288)% WARNING: option uhcvi not known.
% 0.19/0.29 % (3473291)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4048757307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (3473287)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1454431295_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (3473290)dis+10_1_sil=32000:sp=arity:random_seed=2504509221:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (3473289)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1518688653:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (3473288)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1773124962:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (3473293) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3473282-3473293"...
% 0.19/0.29 % (3473293)...printing done.
% 0.19/0.29 % (3473293)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (3473293)------------------------------
% 0.19/0.29 % (3473293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (3473293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (3473293)CaDiCaL version: 2.1.3
% 0.19/0.29 % (3473293)Termination reason: Refutation
% 0.19/0.29 % (3473293)Time elapsed: 0.010 s
% 0.19/0.29 % (3473293)Peak memory usage: 13 MB
% 0.19/0.29 % (3473293)Instructions burned: 23 (million)
% 0.19/0.29 % (3473282)Success in time 0.048 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------