%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR149_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 : 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 09:46:06 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 20 unt; 0 typ; 6 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 92 ( 47 ~; 38 |; 0 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 72 ( 72 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 33 ( 0 sgn 29 !; 4 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
tff(f3,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
tff(f4,conjecture,
? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f5,negated_conjecture,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(ennf_transformation,[],[f2]) ).
tff(f7,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )),
inference(ennf_transformation,[],[f3]) ).
tff(f8,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)),
inference(ennf_transformation,[],[f5]) ).
tff(f9,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f10,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(cnf_transformation,[],[f6]) ).
tff(f11,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f7]) ).
tff(f14,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
inference(cnf_transformation,[],[f8]) ).
tff(f15,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
inference(cnf_transformation,[],[f8]) ).
tff(f18,plain,
! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$true),
inference(consistent_polarity_flipping,[],[f10]) ).
tff(f21,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f22,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
inference(consistent_polarity_flipping,[],[f15]) ).
tff(f23,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
inference(consistent_polarity_flipping,[],[f14]) ).
tff(f25,definition,
( spl1_1
<=> ! [X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
tff(f26,plain,
( ! [X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$true)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f25]) ).
tff(f28,definition,
( spl1_2
<=> ! [X0: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
tff(f29,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f30,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f23,f28,f25]) ).
tff(f32,definition,
( spl1_3
<=> ! [X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
tff(f33,plain,
( ! [X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),$false)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f35,definition,
( spl1_4
<=> ! [X0: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
tff(f36,plain,
( ! [X0: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f35]) ).
tff(f37,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f22,f35,f32]) ).
tff(f39,definition,
( spl1_5
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
tff(f41,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| spl1_5 ),
inference(avatar_component_clause,[],[f39]) ).
tff(f43,definition,
( spl1_6
<=> ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
tff(f44,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f45,plain,
( ~ spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f21,f43,f39]) ).
tff(f60,plain,
( $false
| ~ spl1_3
| spl1_5 ),
inference(forward_subsumption_resolution,[],[f41,f33]) ).
tff(f61,plain,
( ~ spl1_3
| spl1_5 ),
inference(avatar_contradiction_clause,[],[f60]) ).
tff(f62,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ spl1_2
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f44,f29]) ).
tff(f63,plain,
( $false
| ~ spl1_2
| ~ spl1_6 ),
inference(backward_subsumption_resolution,[],[f9,f62]) ).
tff(f64,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f63]) ).
tff(f65,plain,
( $false
| ~ spl1_1 ),
inference(forward_subsumption_resolution,[],[f26,f18]) ).
tff(f66,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f65]) ).
tff(f67,plain,
( $false
| ~ spl1_2
| ~ spl1_4 ),
inference(forward_subsumption_resolution,[],[f36,f29]) ).
tff(f68,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f30]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f37]) ).
cnf(s3,plain,
( ~ spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f45]) ).
cnf(s6,plain,
( ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s7,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(sat_conversion,[],[f64]) ).
cnf(s8,plain,
~ spl1_1,
inference(sat_conversion,[],[f66]) ).
cnf(s9,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f68]) ).
cnf(s10,plain,
spl1_2,
inference(rat,[],[s1,s8]) ).
cnf(s11,plain,
~ spl1_4,
inference(rat,[],[s9,s10]) ).
cnf(s12,plain,
~ spl1_6,
inference(rat,[],[s7,s10]) ).
cnf(s13,plain,
spl1_3,
inference(rat,[],[s2,s11]) ).
cnf(s14,plain,
~ spl1_5,
inference(rat,[],[s3,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s6,s14,s13]) ).
tff(f69,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR149_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n006.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 23:38:10 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 % (315970)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (315975)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1691761580_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % Detected minimum model sizes of [1,1]
% 0.08/0.26 % Detected maximum model sizes of [max,2]
% 0.08/0.26 % TRYING [1,1]
% 0.08/0.26 % TRYING [1,2]
% 0.08/0.26 % TRYING [2,2]
% 0.08/0.26 % (315975)Cannot enumerate next child to try in an incomplete setup
% 0.08/0.26 % (315975)Refutation not found, incomplete strategy
% 0.08/0.26 % (315975)------------------------------
% 0.08/0.26 % (315975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (315975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (315975)CaDiCaL version: 2.1.3
% 0.08/0.26 % (315975)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.26 % (315975)Time elapsed: 0.001 s
% 0.08/0.26 % (315975)Peak memory usage: 11 MB
% 0.08/0.26 % (315975)Instructions burned: 2 (million)
% 0.08/0.26 % (315975)------------------------------
% 0.08/0.26 % (315975)------------------------------
% 0.08/0.26 % (315976)% WARNING: option uhcvi not known.
% 0.08/0.26 % (315977)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2085908384:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (315978)dis+10_1_sil=32000:sp=arity:random_seed=1586721753:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (315979)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3637875482:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (315980)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2653432018:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (315981)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3098969153:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (315976)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1361944485:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (315979) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315979"...
% 0.08/0.26 % (315976) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315976"...
% 0.08/0.26 % (315978) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315978"...
% 0.08/0.26 % (315980) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315980"...
% 0.08/0.26 % (315981) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315981"...
% 0.08/0.26 % (315977) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-315970-315977"...
% 0.08/0.26 % (315979)...printing done.
% 0.08/0.26 % (315983)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1929239408:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.08/0.26 % (315976)...printing done.
% 0.08/0.26 % (315978)...printing done.
% 0.08/0.26 % (315980)...printing done.
% 0.08/0.26 % TRYING [1]
% 0.08/0.26 % TRYING [2]
% 0.08/0.26 % TRYING [3]
% 0.08/0.26 % (315977)...printing done.
% 0.08/0.26 % (315976)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 % (315976)------------------------------
% 0.08/0.26 % (315976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (315976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (315976)CaDiCaL version: 2.1.3
% 0.08/0.26 % (315976)Termination reason: Refutation
% 0.08/0.26 % (315976)Time elapsed: 0.002 s
% 0.08/0.26 % (315976)Peak memory usage: 13 MB
% 0.08/0.26 % (315976)Instructions burned: 1 (million)
% 0.08/0.26 % (315970)Success in time 0.04 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------