%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR148_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 2.97s 1.10s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 63 ( 23 unt; 0 typ; 7 def)
% Number of atoms : 265 ( 36 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 121 ( 54 ~; 46 |; 8 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 159 ( 137 fml; 22 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 51 ( 0 sgn 43 !; 8 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_5,type,
bG0: $o ).
tff(func_def_8,type,
bG1: $o > $o ).
tff(func_def_9,type,
bG2: $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,
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_001) ).
tff(f3,axiom,
! [X0: $o,X1: $i] :
( (X0)
=> holdsDuring_THFTYPE_IiooI(X1,(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,definition,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f7,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(fool_elimination,[],[f2,f6]) ).
tff(f8,plain,
! [X0: $o,X1: $i] :
( (X0)
=> holdsDuring_THFTYPE_IiooI(X1,(X0)) ),
inference(rectify,[],[f3]) ).
tff(f9,definition,
! [X0: $o] :
( ( $true = (X0) )
<=> ( $true = bG1((X0)) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f10,plain,
! [X0: $o,X1: $i] :
( ( $true = (X0) )
=> holdsDuring_THFTYPE_IiooI(X1,bG1((X0))) ),
inference(fool_elimination,[],[f8,f9]) ).
tff(f11,definition,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
<=> ( $true = bG2(X0) ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f12,plain,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG2(X0)),
inference(fool_elimination,[],[f5,f11]) ).
tff(f13,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( bG0 = $true ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f14,plain,
! [X0: $o,X1: $i] :
( holdsDuring_THFTYPE_IiooI(X1,bG1((X0)))
| ( $true != (X0) ) ),
inference(ennf_transformation,[],[f10]) ).
tff(f15,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG2(X0)),
inference(ennf_transformation,[],[f12]) ).
tff(f16,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true != bG2(X0) ) )
& ( ( $true = bG2(X0) )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f17,plain,
! [X0: $o] :
( ( ( $true = (X0) )
| ( $true != bG1((X0)) ) )
& ( ( $true = bG1((X0)) )
| ( $true != (X0) ) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f18,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ? [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f19,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ? [X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X1) ) ) ),
inference(rectify,[],[f18]) ).
tff(f20,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,sK3)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3)],[f19]) ).
tff(f21,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true = bG2(X0) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f23,plain,
! [X0: $o] :
( ( $true = bG1((X0)) )
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f27,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( bG0 != $true ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f28,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f29,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(cnf_transformation,[],[f7]) ).
tff(f30,plain,
! [X0: $o,X1: $i] :
( holdsDuring_THFTYPE_IiooI(X1,bG1((X0)))
| ( $true != (X0) ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f31,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),bG2(X0)),
inference(cnf_transformation,[],[f15]) ).
tff(f33,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f34,plain,
$true = bG1($true),
inference(equality_resolution,[],[f23]) ).
tff(f35,plain,
! [X1: $i] : holdsDuring_THFTYPE_IiooI(X1,bG1($true)),
inference(equality_resolution,[],[f30]) ).
tff(f41,definition,
( spl4_2
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f42,plain,
( ( bG0 != $true )
| spl4_2 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f51,definition,
( spl4_4
<=> ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f52,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f53,plain,
( ~ spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f27,f51,f41]) ).
tff(f55,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(X0,$true),
inference(superposition,[],[f35,f34]) ).
tff(f56,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true = bG2(X0) ) )
| ~ spl4_4 ),
inference(resolution,[],[f52,f21]) ).
tff(f57,plain,
( ( $true = bG2(lBill_THFTYPE_i) )
| ~ spl4_4 ),
inference(resolution,[],[f56,f28]) ).
tff(f59,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$true)
| ~ spl4_4 ),
inference(superposition,[],[f31,f57]) ).
tff(f61,plain,
( $false
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f59,f55]) ).
tff(f62,plain,
~ spl4_4,
inference(avatar_contradiction_clause,[],[f61]) ).
tff(f70,plain,
! [X0: $i,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false)
| ( $true = bG2(X1) ) ),
inference(superposition,[],[f31,f33]) ).
tff(f74,definition,
( spl4_5
<=> ! [X1: $i] : ( $true = bG2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f75,plain,
( ! [X1: $i] : ( $true = bG2(X1) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f74]) ).
tff(f77,definition,
( spl4_6
<=> ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f78,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$false)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f77]) ).
tff(f79,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f70,f77,f74]) ).
tff(f81,plain,
( ! [X0: $o,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X1),(X0))
| ( $true = (X0) ) )
| ~ spl4_6 ),
inference(superposition,[],[f78,f33]) ).
tff(f82,plain,
( ( bG0 = $true )
| ~ spl4_6 ),
inference(resolution,[],[f81,f29]) ).
tff(f85,plain,
( $false
| spl4_2
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f82,f42]) ).
tff(f86,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f85]) ).
tff(f89,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(X0),$true)
| ~ spl4_5 ),
inference(superposition,[],[f31,f75]) ).
tff(f92,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f89,f55]) ).
tff(f93,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f92]) ).
cnf(s3,plain,
( ~ spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
~ spl4_4,
inference(sat_conversion,[],[f62]) ).
cnf(s5,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f79]) ).
cnf(s6,plain,
( spl4_2
| ~ spl4_6 ),
inference(sat_conversion,[],[f86]) ).
cnf(s7,plain,
~ spl4_5,
inference(sat_conversion,[],[f93]) ).
cnf(s8,plain,
spl4_6,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
spl4_2,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s3,s4,s9]) ).
tff(f94,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR148_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % 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 23:37:47 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.97/1.10 % (1286983)Detected formulas, will run a generic FOF schedule.
% 2.97/1.10 % (1286990)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=694763782:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.97/1.10 % (1286988)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=2395746532:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.97/1.10 % (1286989)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=4397579:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.97/1.10 % (1286992)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3647715643:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.97/1.10 % (1286991)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=450128614:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.97/1.10 % (1286994)dis-21_1_sil=8000:lcm=predicate:random_seed=947637594: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)
% 2.97/1.10 % (1286993)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3094511067:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.97/1.10 % (1286991)Refutation not found, incomplete strategy
% 2.97/1.10 % (1286991)------------------------------
% 2.97/1.10 % (1286991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.10 % (1286991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.10 % (1286991)CaDiCaL version: 2.1.3
% 2.97/1.10 % (1286991)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.10 % (1286991)Time elapsed: 0.001 s
% 2.97/1.10 % (1286991)Peak memory usage: 88 MB
% 2.97/1.10 % (1286994)Refutation not found, incomplete strategy
% 2.97/1.10 % (1286994)------------------------------
% 2.97/1.10 % (1286994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.10 % (1286994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.10 % (1286994)CaDiCaL version: 2.1.3
% 2.97/1.10 % (1286994)Termination reason: Refutation not found, incomplete strategy
% 2.97/1.10 % (1286994)Time elapsed: 0.002 s
% 2.97/1.10 % (1286994)Peak memory usage: 88 MB
% 2.97/1.10 % (1286994)Instructions burned: 1 (million)
% 2.97/1.10 % (1286993)First to succeed.
% 2.97/1.10 % (1286993)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1286983"
% 2.97/1.10 % (1286992)Instruction limit reached!
% 2.97/1.10 % (1286992)------------------------------
% 2.97/1.10 % (1286992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.10 % (1286992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.10 % (1286992)CaDiCaL version: 2.1.3
% 2.97/1.10 % (1286992)Termination reason: Instruction limit
% 2.97/1.10 % (1286992)Termination phase: Saturation
% 2.97/1.10 % (1286992)Time elapsed: 0.055 s
% 2.97/1.10 % (1286992)Peak memory usage: 87 MB
% 2.97/1.10 % (1286992)Instructions burned: 119 (million)
% 2.97/1.10 % (1287002)lrs+10_1_sil=8000:sp=occurrence:random_seed=531298124:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.97/1.10 % (1287002)Also succeeded, but the first one will report.
% 2.97/1.10 % (1286991)------------------------------
% 2.97/1.10 % (1286991)------------------------------
% 2.97/1.10 % (1286994)------------------------------
% 2.97/1.10 % (1286994)------------------------------
% 2.97/1.10 % (1286993)Refutation found. Thanks to Tanya!
% 2.97/1.10 % SZS status Theorem for theBenchmark
% 2.97/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.30 % (1286993)------------------------------
% 0.20/1.30 % (1286993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.30 % (1286993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.30 % (1286993)CaDiCaL version: 2.1.3
% 0.20/1.30 % (1286993)Termination reason: Refutation
% 0.20/1.30 % (1286993)Time elapsed: 0.004 s
% 0.20/1.30 % (1286993)Peak memory usage: 89 MB
% 0.20/1.30 % (1286993)Instructions burned: 3 (million)
% 0.20/1.30 % (1286993)------------------------------
% 0.20/1.30 % (1286993)------------------------------
% 0.20/1.30 % (1286983)Success in time 0.433 s
% 0.20/1.30 % Vampire exiting
%------------------------------------------------------------------------------