%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR128_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 : n008.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 09:45:59 AM UTC 2026
% Result : Theorem 0.20s 0.27s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 11 unt; 0 typ; 8 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 121 ( 58 ~; 54 |; 0 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 86 ( 86 fml; 0 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 31 ( 0 sgn 27 !; 4 ?; 31 :)
% 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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
! [X0: $i] :
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
tff(f3,conjecture,
? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f4,negated_conjecture,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,plain,
! [X0: $i] :
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )),
inference(ennf_transformation,[],[f2]) ).
tff(f6,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
inference(ennf_transformation,[],[f4]) ).
tff(f8,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
inference(cnf_transformation,[],[f1]) ).
tff(f9,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,[],[f5]) ).
tff(f11,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(cnf_transformation,[],[f5]) ).
tff(f12,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| ~ holdsDuring_THFTYPE_IiooI(X0,$true) ),
inference(cnf_transformation,[],[f6]) ).
tff(f13,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| ~ holdsDuring_THFTYPE_IiooI(X0,$false) ),
inference(cnf_transformation,[],[f6]) ).
tff(f16,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(f18,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
inference(consistent_polarity_flipping,[],[f11]) ).
tff(f20,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,[],[f9]) ).
tff(f21,plain,
! [X0: $i,X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| holdsDuring_THFTYPE_IiooI(X0,$false) ),
inference(consistent_polarity_flipping,[],[f13]) ).
tff(f22,plain,
! [X0: $i,X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| holdsDuring_THFTYPE_IiooI(X0,$true) ),
inference(consistent_polarity_flipping,[],[f12]) ).
tff(f24,definition,
( spl0_1
<=> ! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f25,plain,
( ! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f24]) ).
tff(f27,definition,
( spl0_2
<=> ! [X1: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f28,plain,
( ! [X1: $i] : ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f29,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f27,f24]) ).
tff(f31,definition,
( spl0_3
<=> ! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$false) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f32,plain,
( ! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$false)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f34,definition,
( spl0_4
<=> ! [X1: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f35,plain,
( ! [X1: $i] : likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
tff(f36,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f34,f31]) ).
tff(f38,definition,
( spl0_5
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
tff(f40,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f42,definition,
( spl0_6
<=> ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
tff(f43,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f44,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f42,f38]) ).
tff(f46,definition,
( spl0_7
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
tff(f48,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| spl0_7 ),
inference(avatar_component_clause,[],[f46]) ).
tff(f53,plain,
( ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f27,f46]) ).
tff(f55,definition,
( spl0_9
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
tff(f56,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f59,plain,
( ~ spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f16,f55,f38]) ).
tff(f60,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f40,f32]) ).
tff(f61,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f60]) ).
tff(f62,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f43,f28]) ).
tff(f63,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f56,f62]) ).
tff(f64,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f63]) ).
tff(f65,plain,
( $false
| ~ spl0_1
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f48,f25]) ).
tff(f66,plain,
( ~ spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f65]) ).
tff(f67,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f35,f28]) ).
tff(f68,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f36]) ).
cnf(s3,plain,
( ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
( spl0_2
| ~ spl0_7 ),
inference(sat_conversion,[],[f53]) ).
cnf(s7,plain,
( ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f59]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f61]) ).
cnf(s9,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f64]) ).
cnf(s10,plain,
( ~ spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f66]) ).
cnf(s11,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f68]) ).
cnf(s12,plain,
~ spl0_2,
inference(rat,[],[s9,s3,s7,s8,s2,s11]) ).
cnf(s13,plain,
~ spl0_7,
inference(rat,[],[s5,s12]) ).
cnf(s14,plain,
spl0_1,
inference(rat,[],[s1,s12]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s10,s13,s14]) ).
tff(f69,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR128_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 23:36:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.27 % (2761358)Will run a generic schedule for satisfiability detection.
% 0.20/0.27 % (2761363)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=283387978_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.27 % Detected minimum model sizes of [1,1]
% 0.20/0.27 % Detected maximum model sizes of [max,2]
% 0.20/0.27 % TRYING [1,1]
% 0.20/0.27 % TRYING [1,2]
% 0.20/0.27 % TRYING [2,2]
% 0.20/0.27 % (2761363)Cannot enumerate next child to try in an incomplete setup
% 0.20/0.27 % (2761363)Refutation not found, incomplete strategy
% 0.20/0.27 % (2761363)------------------------------
% 0.20/0.27 % (2761363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2761363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2761363)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2761363)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.27 % (2761363)Time elapsed: 0.001 s
% 0.20/0.27 % (2761363)Peak memory usage: 11 MB
% 0.20/0.27 % (2761363)Instructions burned: 2 (million)
% 0.20/0.27 % (2761363)------------------------------
% 0.20/0.27 % (2761363)------------------------------
% 0.20/0.27 % (2761364)% WARNING: option uhcvi not known.
% 0.20/0.27 % (2761365)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=262731161:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.27 % (2761364)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3664605921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.27 % (2761367)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=403458387:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.27 % (2761366)dis+10_1_sil=32000:sp=arity:random_seed=1868636589:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.27 % (2761368)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=887515696:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.27 % (2761369)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2491020655:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.27 % (2761364) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2761358-2761364"...
% 0.20/0.27 % (2761367) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2761358-2761367"...
% 0.20/0.27 % (2761364)...printing done.
% 0.20/0.27 % (2761367)...printing done.
% 0.20/0.27 % (2761364)Refutation found. Thanks to Tanya!
% 0.20/0.27 % SZS status Theorem for theBenchmark
% 0.20/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.27 % (2761364)------------------------------
% 0.20/0.27 % (2761364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.27 % (2761364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.27 % (2761364)CaDiCaL version: 2.1.3
% 0.20/0.27 % (2761364)Termination reason: Refutation
% 0.20/0.27 % (2761364)Time elapsed: 0.002 s
% 0.20/0.27 % (2761364)Peak memory usage: 12 MB
% 0.20/0.27 % (2761364)Instructions burned: 1 (million)
% 0.20/0.27 % (2761358)Success in time 0.042 s
% 0.20/0.27 % Vampire exiting
%------------------------------------------------------------------------------