%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR151_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:46:07 AM UTC 2026
% Result : Theorem 0.27s 0.34s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 9 unt; 0 typ; 4 def)
% Number of atoms : 185 ( 0 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 73 ( 32 ~; 33 |; 4 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 106 ( 106 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f2,conjecture,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f3,negated_conjecture,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) )),
inference(flattening,[],[f3]) ).
tff(f5,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f1]) ).
tff(f6,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f1]) ).
tff(f7,plain,
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(cnf_transformation,[],[f1]) ).
tff(f8,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f9,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f4]) ).
tff(f10,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(cnf_transformation,[],[f4]) ).
tff(f13,plain,
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(consistent_polarity_flipping,[],[f7]) ).
tff(f14,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f6]) ).
tff(f15,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f5]) ).
tff(f16,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(consistent_polarity_flipping,[],[f10]) ).
tff(f17,plain,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f9]) ).
tff(f18,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f8]) ).
tff(f20,definition,
( spl0_1
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f24,definition,
( spl0_2
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f27,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f24,f20]) ).
tff(f29,definition,
( spl0_3
<=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f32,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f17,f29,f20]) ).
tff(f34,definition,
( spl0_4
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f37,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f16,f24,f29,f34]) ).
tff(f38,plain,
( ~ spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f29,f20]) ).
tff(f39,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f24,f20]) ).
tff(f40,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f13,f29,f24,f34]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f32]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f37]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f38]) ).
cnf(s5,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f40]) ).
cnf(s7,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s6,s3]) ).
cnf(s8,plain,
spl0_1,
inference(rat,[],[s7,s1,s2]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s5,s8]) ).
cnf(s10,plain,
spl0_3,
inference(rat,[],[s4,s8]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s7,s10,s9]) ).
tff(f41,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR151_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 % Computer : n007.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 23:36:10 UTC 2026
% 0.10/0.27 % CPUTime :
% 0.10/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.27/0.30 Running first-order model finding
% 0.27/0.30 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
% 0.27/0.34 % (2968018)Will run a generic schedule for satisfiability detection.
% 0.27/0.34 % (2968024)% WARNING: option uhcvi not known.
% 0.27/0.34 % (2968024)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=482831297:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.34 % (2968023)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1267637748_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.34 % (2968024) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2968018-2968024"...
% 0.27/0.34 % (2968024)...printing done.
% 0.27/0.34 % Detected minimum model sizes of [1,1]
% 0.27/0.34 % Detected maximum model sizes of [max,4]
% 0.27/0.34 % TRYING [1,1]
% 0.27/0.34 % (2968024)Refutation found. Thanks to Tanya!
% 0.27/0.34 % SZS status Theorem for theBenchmark
% 0.27/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.34 % (2968024)------------------------------
% 0.27/0.34 % (2968024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.34 % (2968024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.34 % (2968024)CaDiCaL version: 2.1.3
% 0.27/0.34 % (2968024)Termination reason: Refutation
% 0.27/0.34 % (2968024)Time elapsed: 0.002 s
% 0.27/0.34 % (2968024)Peak memory usage: 12 MB
% 0.27/0.34 % (2968024)Instructions burned: 1 (million)
% 0.27/0.34 % (2968018)Success in time 0.025 s
% 0.27/0.34 % Vampire exiting
%------------------------------------------------------------------------------