%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR122_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:45:57 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 20 unt; 0 typ; 4 def)
% Number of atoms : 139 ( 8 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 48 ( 22 ~; 15 |; 7 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 81 ( 81 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 3 ( 0 sgn 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_7,type,
bG0: $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
tff(f3,axiom,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
tff(f4,conjecture,
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/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f5,negated_conjecture,
~ 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) )),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(fool_elimination,[],[f3]) ).
tff(f7,definition,
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) )
<=> ( $true = bG0 ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f8,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(fool_elimination,[],[f5,f7]) ).
tff(f9,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(flattening,[],[f8]) ).
tff(f10,plain,
( ( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f11,plain,
( ( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
& likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(flattening,[],[f10]) ).
tff(f12,plain,
( ( $true = bG0 )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f11]) ).
tff(f15,plain,
likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f16,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f2]) ).
tff(f17,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(cnf_transformation,[],[f6]) ).
tff(f18,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(cnf_transformation,[],[f9]) ).
tff(f22,definition,
( spl1_1
<=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f26,definition,
( spl1_2
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f30,definition,
( spl1_3
<=> ( $true = bG0 ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f32,plain,
( ( $true = bG0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f33,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f12,f30,f26,f22]) ).
tff(f36,plain,
spl1_1,
inference(avatar_split_clause,[],[f15,f22]) ).
tff(f37,plain,
spl1_2,
inference(avatar_split_clause,[],[f16,f26]) ).
tff(f38,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl1_3 ),
inference(superposition,[],[f18,f32]) ).
tff(f39,plain,
( $false
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f38,f17]) ).
tff(f40,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f39]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
spl1_1,
inference(sat_conversion,[],[f36]) ).
cnf(s5,plain,
spl1_2,
inference(sat_conversion,[],[f37]) ).
cnf(s6,plain,
~ spl1_3,
inference(sat_conversion,[],[f40]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s6,s5,s4]) ).
tff(f41,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR122_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 23:34:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (1689267)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (1689275)dis+10_1_sil=32000:sp=arity:random_seed=1103402018:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (1689275) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1689267-1689275"...
% 0.08/0.26 % (1689275)...printing done.
% 0.08/0.26 % (1689275)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (1689275)------------------------------
% 0.08/0.26 % (1689275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (1689275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (1689275)CaDiCaL version: 2.1.3
% 0.08/0.26 % (1689275)Termination reason: Refutation
% 0.08/0.26 % (1689275)Time elapsed: 0.001 s
% 0.08/0.26 % (1689275)Peak memory usage: 12 MB
% 0.08/0.26 % (1689275)Instructions burned: 1 (million)
% 0.08/0.26 % (1689267)Success in time 0.032 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------