%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR127_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:43:48 AM UTC 2026
% Result : Theorem 0.19s 1.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 19 unt; 0 typ; 5 def)
% Number of atoms : 205 ( 23 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 76 ( 34 ~; 29 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 118 ( 116 fml; 2 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 26 ( 0 sgn 23 !; 3 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_5,type,
bG0: $i > $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/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] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f4,negated_conjecture,
~ ? [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,definition,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( bG0(X0) = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f6,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(fool_elimination,[],[f2,f5]) ).
tff(f7,definition,
! [X0: $i] :
( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
<=> ( $true = bG1(X0) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f8,plain,
~ ? [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
inference(fool_elimination,[],[f4,f7]) ).
tff(f9,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( bG0(X0) = $true ) ),
inference(ennf_transformation,[],[f5]) ).
tff(f10,plain,
! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
inference(ennf_transformation,[],[f8]) ).
tff(f11,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $true != bG1(X0) ) )
& ( ( $true = bG1(X0) )
| ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f7]) ).
tff(f12,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( bG0(X0) != $true ) )
& ( ( bG0(X0) = $true )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f9]) ).
tff(f13,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( bG0(X0) != $true ) )
& ( ( bG0(X0) = $true )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(flattening,[],[f12]) ).
tff(f14,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ( $true = bG1(X0) ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f15,plain,
! [X0: $i] :
( ( $true != bG1(X0) )
| likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f11]) ).
tff(f17,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( bG0(X0) = $true ) ),
inference(cnf_transformation,[],[f13]) ).
tff(f19,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f1]) ).
tff(f20,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0(X0)),
inference(cnf_transformation,[],[f6]) ).
tff(f21,plain,
! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
inference(cnf_transformation,[],[f10]) ).
tff(f23,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f24,plain,
$true = bG1(lMary_THFTYPE_i),
inference(resolution,[],[f14,f19]) ).
tff(f26,plain,
~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true),
inference(superposition,[],[f21,f24]) ).
tff(f30,plain,
! [X0: $i] :
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ( bG0(X0) = $true ) ),
inference(superposition,[],[f20,f23]) ).
tff(f32,plain,
! [X0: $i] :
( ~ holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ( $true = bG1(X0) ) ),
inference(superposition,[],[f21,f23]) ).
tff(f37,definition,
( spl2_1
<=> ! [X0: $i] : ( $true = bG1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f38,plain,
( ! [X0: $i] : ( $true = bG1(X0) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f37]) ).
tff(f40,definition,
( spl2_2
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f43,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f32,f40,f37]) ).
tff(f45,definition,
( spl2_3
<=> ! [X0: $i] : ( bG0(X0) = $true ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f46,plain,
( ! [X0: $i] : ( bG0(X0) = $true )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f47,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f30,f40,f45]) ).
tff(f52,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl2_3 ),
inference(superposition,[],[f20,f46]) ).
tff(f55,plain,
( $false
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f52,f26]) ).
tff(f56,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f55]) ).
tff(f58,plain,
( ! [X0: $i] :
( ( $true != $true )
| likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i) )
| ~ spl2_1 ),
inference(superposition,[],[f15,f38]) ).
tff(f60,plain,
( ! [X0: $i] : likes_THFTYPE_IiioI(X0,lBill_THFTYPE_i)
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f58]) ).
tff(f64,plain,
( ( $true = bG0(lBill_THFTYPE_i) )
| ~ spl2_1 ),
inference(resolution,[],[f60,f17]) ).
tff(f81,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl2_1 ),
inference(superposition,[],[f20,f64]) ).
tff(f84,plain,
( $false
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f81,f26]) ).
tff(f85,plain,
~ spl2_1,
inference(avatar_contradiction_clause,[],[f84]) ).
cnf(s1,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f43]) ).
cnf(s2,plain,
( spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f47]) ).
cnf(s3,plain,
~ spl2_3,
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
~ spl2_1,
inference(sat_conversion,[],[f85]) ).
cnf(s5,plain,
spl2_2,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
tff(f86,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR127_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n005.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 23:35:01 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.30 % (1281005)Detected formulas, will run a generic FOF schedule.
% 0.19/1.30 % (1281127)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2170571877:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.19/1.30 % (1281127)Instruction limit reached!
% 0.19/1.30 % (1281127)------------------------------
% 0.19/1.30 % (1281127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1281127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1281127)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1281127)Termination reason: Instruction limit
% 0.19/1.30 % (1281127)Termination phase: Saturation
% 0.19/1.30 % (1281127)Time elapsed: 0.031 s
% 0.19/1.30 % (1281127)Peak memory usage: 88 MB
% 0.19/1.30 % (1281127)Instructions burned: 122 (million)
% 0.19/1.30 % (1281124)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=2960636430:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.19/1.30 % (1281123)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=3583823943:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.19/1.30 % (1281128)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1781870095:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.19/1.30 % (1281129)dis-21_1_sil=8000:lcm=predicate:random_seed=3394796147: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)
% 0.19/1.30 % (1281125)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=848056317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.19/1.30 % (1281126)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1536882488:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.19/1.30 % (1281129)Refutation not found, incomplete strategy
% 0.19/1.30 % (1281129)------------------------------
% 0.19/1.30 % (1281129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1281129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1281129)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1281129)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (1281129)Time elapsed: 0.001 s
% 0.19/1.30 % (1281129)Peak memory usage: 88 MB
% 0.19/1.30 % (1281126)Refutation not found, incomplete strategy
% 0.19/1.30 % (1281126)------------------------------
% 0.19/1.30 % (1281126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1281126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1281126)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1281126)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.30 % (1281126)Time elapsed: 0.001 s
% 0.19/1.30 % (1281126)Peak memory usage: 88 MB
% 0.19/1.30 % (1281128)First to succeed.
% 0.19/1.30 % (1281128)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1281005"
% 0.19/1.30 % (1281131)lrs+10_1_sil=8000:sp=occurrence:random_seed=1977344300:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.19/1.30 % (1281131)Also succeeded, but the first one will report.
% 0.19/1.30 % (1281126)------------------------------
% 0.19/1.30 % (1281126)------------------------------
% 0.19/1.30 % (1281129)------------------------------
% 0.19/1.30 % (1281129)------------------------------
% 0.19/1.30 % (1281128)Refutation found. Thanks to Tanya!
% 0.19/1.30 % SZS status Theorem for theBenchmark
% 0.19/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (1281128)------------------------------
% 0.19/1.30 % (1281128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (1281128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (1281128)CaDiCaL version: 2.1.3
% 0.19/1.30 % (1281128)Termination reason: Refutation
% 0.19/1.30 % (1281128)Time elapsed: 0.004 s
% 0.19/1.30 % (1281128)Peak memory usage: 90 MB
% 0.19/1.30 % (1281128)Instructions burned: 3 (million)
% 0.19/1.30 % (1281128)------------------------------
% 0.19/1.30 % (1281128)------------------------------
% 0.19/1.30 % (1281005)Success in time 0.438 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------