%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n005.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 09:43:56 AM UTC 2026
% Result : Theorem 0.21s 1.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 55 ( 21 unt; 0 typ; 6 def)
% Number of atoms : 228 ( 24 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 106 ( 49 ~; 41 |; 7 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 120 ( 116 fml; 4 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 39 ( 0 sgn 31 !; 8 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_7,type,
bG0: $o ).
tff(func_def_8,type,
bG1: $i > $o ).
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(fool_elimination,[],[f2]) ).
tff(f7,definition,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( $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,[],[f3,f7]) ).
tff(f9,definition,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
<=> ( $true = bG1(X0) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f10,plain,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG1(X0)),
inference(fool_elimination,[],[f5,f9]) ).
tff(f11,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( $true = bG0 ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f12,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG1(X0)),
inference(ennf_transformation,[],[f10]) ).
tff(f13,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true != bG1(X0) ) )
& ( ( $true = bG1(X0) )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f14,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ? [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f15,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ? [X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X1) ) ) ),
inference(rectify,[],[f14]) ).
tff(f16,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG0 ) )
& ( ( $true = bG0 )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,sK2)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,sK2) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2)],[f15]) ).
tff(f17,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true = bG1(X0) ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f21,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG0 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f22,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f23,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(cnf_transformation,[],[f6]) ).
tff(f24,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(cnf_transformation,[],[f8]) ).
tff(f25,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG1(X0)),
inference(cnf_transformation,[],[f12]) ).
tff(f27,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f33,definition,
( spl3_2
<=> ( $true = bG0 ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f34,plain,
( ( $true != bG0 )
| spl3_2 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f43,definition,
( spl3_4
<=> ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f44,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f43]) ).
tff(f45,plain,
( ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f21,f43,f33]) ).
tff(f47,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true = bG1(X0) ) )
| ~ spl3_4 ),
inference(resolution,[],[f44,f17]) ).
tff(f48,plain,
( ( $true = bG1(lBill_THFTYPE_i) )
| ~ spl3_4 ),
inference(resolution,[],[f47,f22]) ).
tff(f50,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$true)
| ~ spl3_4 ),
inference(superposition,[],[f25,f48]) ).
tff(f52,plain,
( $false
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f50,f23]) ).
tff(f53,plain,
~ spl3_4,
inference(avatar_contradiction_clause,[],[f52]) ).
tff(f58,plain,
! [X0: $i,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false)
| ( $true = bG1(X1) ) ),
inference(superposition,[],[f25,f27]) ).
tff(f61,definition,
( spl3_5
<=> ! [X1: $i] : ( $true = bG1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f62,plain,
( ! [X1: $i] : ( $true = bG1(X1) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f64,definition,
( spl3_6
<=> ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f65,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f64]) ).
tff(f66,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f58,f64,f61]) ).
tff(f68,plain,
( ! [X0: $o,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),(X0))
| ( $true = (X0) ) )
| ~ spl3_6 ),
inference(superposition,[],[f65,f27]) ).
tff(f69,plain,
( ( $true = bG0 )
| ~ spl3_6 ),
inference(resolution,[],[f68,f24]) ).
tff(f71,plain,
( $false
| spl3_2
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f69,f34]) ).
tff(f72,plain,
( spl3_2
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f71]) ).
tff(f75,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$true)
| ~ spl3_5 ),
inference(superposition,[],[f25,f62]) ).
tff(f78,plain,
( $false
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f75,f23]) ).
tff(f79,plain,
~ spl3_5,
inference(avatar_contradiction_clause,[],[f78]) ).
cnf(s3,plain,
( ~ spl3_2
| spl3_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s4,plain,
~ spl3_4,
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
( spl3_5
| spl3_6 ),
inference(sat_conversion,[],[f66]) ).
cnf(s6,plain,
( spl3_2
| ~ spl3_6 ),
inference(sat_conversion,[],[f72]) ).
cnf(s7,plain,
~ spl3_5,
inference(sat_conversion,[],[f79]) ).
cnf(s8,plain,
spl3_6,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl3_2,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s4,s9]) ).
tff(f80,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR149_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 23:38:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 0.21/1.30 % (1288375)Detected formulas, will run a generic FOF schedule.
% 0.21/1.30 % (1288521)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3293409317:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.21/1.30 % (1288521)Instruction limit reached!
% 0.21/1.30 % (1288521)------------------------------
% 0.21/1.30 % (1288521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (1288521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (1288521)CaDiCaL version: 2.1.3
% 0.21/1.30 % (1288521)Termination reason: Instruction limit
% 0.21/1.30 % (1288521)Termination phase: Saturation
% 0.21/1.30 % (1288521)Time elapsed: 0.028 s
% 0.21/1.30 % (1288521)Peak memory usage: 88 MB
% 0.21/1.30 % (1288521)Instructions burned: 123 (million)
% 0.21/1.30 % (1288517)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=3265891904:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.21/1.30 % (1288519)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=1843675446:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.21/1.30 % (1288522)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2205625828:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.21/1.30 % (1288518)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=356007433:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.21/1.30 % (1288520)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1034492990:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.21/1.30 % (1288523)dis-21_1_sil=8000:lcm=predicate:random_seed=2485107701:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.21/1.30 % (1288520)Refutation not found, incomplete strategy
% 0.21/1.30 % (1288520)------------------------------
% 0.21/1.30 % (1288520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (1288520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (1288523)Refutation not found, incomplete strategy
% 0.21/1.30 % (1288523)------------------------------
% 0.21/1.30 % (1288523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (1288520)CaDiCaL version: 2.1.3
% 0.21/1.30 % (1288520)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (1288520)Time elapsed: 0.001 s
% 0.21/1.30 % (1288523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (1288520)Peak memory usage: 88 MB
% 0.21/1.30 % (1288523)CaDiCaL version: 2.1.3
% 0.21/1.30 % (1288523)Termination reason: Refutation not found, incomplete strategy
% 0.21/1.30 % (1288523)Time elapsed: 0.001 s
% 0.21/1.30 % (1288523)Peak memory usage: 89 MB
% 0.21/1.30 % (1288522)First to succeed.
% 0.21/1.30 % (1288522)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1288375"
% 0.21/1.30 % (1288558)lrs+10_1_sil=8000:sp=occurrence:random_seed=3752860763:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.21/1.30 % (1288558)Also succeeded, but the first one will report.
% 0.21/1.30 % (1288520)------------------------------
% 0.21/1.30 % (1288520)------------------------------
% 0.21/1.30 % (1288523)------------------------------
% 0.21/1.30 % (1288523)------------------------------
% 0.21/1.30 % (1288522)Refutation found. Thanks to Tanya!
% 0.21/1.30 % SZS status Theorem for theBenchmark
% 0.21/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.30 % (1288522)------------------------------
% 0.21/1.30 % (1288522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.30 % (1288522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.30 % (1288522)CaDiCaL version: 2.1.3
% 0.21/1.30 % (1288522)Termination reason: Refutation
% 0.21/1.30 % (1288522)Time elapsed: 0.004 s
% 0.21/1.30 % (1288522)Peak memory usage: 89 MB
% 0.21/1.30 % (1288522)Instructions burned: 3 (million)
% 0.21/1.30 % (1288522)------------------------------
% 0.21/1.30 % (1288522)------------------------------
% 0.21/1.30 % (1288375)Success in time 0.419 s
% 0.21/1.30 % Vampire exiting
%------------------------------------------------------------------------------