%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n004.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 09:43:46 AM UTC 2026
% Result : Theorem 3.12s 0.91s
% Output : Refutation 3.12s
% 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,
( ( $true = bG0 )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f30]) ).
tff(f33,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f12,f30,f26,f22]) ).
tff(f38,plain,
spl1_1,
inference(avatar_split_clause,[],[f15,f22]) ).
tff(f41,plain,
spl1_2,
inference(avatar_split_clause,[],[f16,f26]) ).
tff(f42,plain,
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl1_3 ),
inference(superposition,[],[f18,f32]) ).
tff(f43,plain,
( $false
| ~ spl1_3 ),
inference(forward_subsumption_resolution,[],[f42,f17]) ).
tff(f44,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f43]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2
| spl1_3 ),
inference(sat_conversion,[],[f33]) ).
cnf(s5,plain,
spl1_1,
inference(sat_conversion,[],[f38]) ).
cnf(s7,plain,
spl1_2,
inference(sat_conversion,[],[f41]) ).
cnf(s8,plain,
~ spl1_3,
inference(sat_conversion,[],[f44]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s7,s5]) ).
tff(f45,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 23:34:52 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.12/0.91 % (893907)Detected formulas, will run a generic FOF schedule.
% 3.12/0.91 % (893918)dis-21_1_sil=8000:lcm=predicate:random_seed=3136500741:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 3.12/0.91 % (893918)Refutation not found, incomplete strategy
% 3.12/0.91 % (893918)------------------------------
% 3.12/0.91 % (893918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/0.91 % (893918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.91 % (893918)CaDiCaL version: 2.1.3
% 3.12/0.91 % (893918)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.91 % (893918)Time elapsed: 0.001 s
% 3.12/0.91 % (893918)Peak memory usage: 89 MB
% 3.12/0.91 % (893917)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=670049332:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 3.12/0.91 % (893915)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1768485139:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 3.12/0.91 % (893916)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2546322330:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 3.12/0.91 % (893912)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3553682646:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 3.12/0.91 % (893914)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1296844838:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 3.12/0.91 % (893913)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2478091055:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 3.12/0.91 % (893915)Refutation not found, incomplete strategy
% 3.12/0.91 % (893915)------------------------------
% 3.12/0.91 % (893915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/0.91 % (893916)Refutation not found, incomplete strategy
% 3.12/0.91 % (893916)------------------------------
% 3.12/0.91 % (893916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/0.91 % (893915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.91 % (893916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.91 % (893915)CaDiCaL version: 2.1.3
% 3.12/0.91 % (893916)CaDiCaL version: 2.1.3
% 3.12/0.91 % (893915)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.91 % (893915)Time elapsed: 0.001 s
% 3.12/0.91 % (893916)Termination reason: Refutation not found, incomplete strategy
% 3.12/0.91 % (893916)Time elapsed: 0.001 s
% 3.12/0.91 % (893915)Peak memory usage: 88 MB
% 3.12/0.91 % (893916)Peak memory usage: 88 MB
% 3.12/0.91 % (893917)First to succeed.
% 3.12/0.91 % (893917)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-893907"
% 3.12/0.91 % (893918)------------------------------
% 3.12/0.91 % (893918)------------------------------
% 3.12/0.91 % (893926)lrs+10_1_sil=8000:sp=occurrence:random_seed=3281928538:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.12/0.91 % (893926)Also succeeded, but the first one will report.
% 3.12/0.91 % (893915)------------------------------
% 3.12/0.91 % (893915)------------------------------
% 3.12/0.91 % (893916)------------------------------
% 3.12/0.91 % (893916)------------------------------
% 3.12/0.91 % (893917)Refutation found. Thanks to Tanya!
% 3.12/0.91 % SZS status Theorem for theBenchmark
% 3.12/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.12/0.91 % (893917)------------------------------
% 3.12/0.91 % (893917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/0.91 % (893917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/0.91 % (893917)CaDiCaL version: 2.1.3
% 3.12/0.91 % (893917)Termination reason: Refutation
% 3.12/0.91 % (893917)Time elapsed: 0.002 s
% 3.12/0.91 % (893917)Peak memory usage: 90 MB
% 3.12/0.91 % (893917)Instructions burned: 1 (million)
% 3.12/0.91 % (893917)------------------------------
% 3.12/0.91 % (893917)------------------------------
% 3.12/0.91 % (893907)Success in time 0.384 s
% 3.12/0.91 % Vampire exiting
%------------------------------------------------------------------------------