%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR152_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 : n018.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 09:43:58 AM UTC 2026
% Result : Theorem 3.70s 1.28s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 61 ( 22 unt; 0 typ; 7 def)
% Number of atoms : 268 ( 33 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 113 ( 48 ~; 47 |; 8 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 146 ( 142 fml; 4 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 14 usr; 14 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 13 ( 0 sgn 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_4,type,
bG0: $o ).
tff(func_def_7,type,
bG1: $o ).
tff(func_def_8,type,
bG2: $o ).
tff(pred_def_1,type,
knows_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,lChris_THFTYPE_i = lChris_THFTYPE_i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
tff(f3,axiom,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
tff(f4,conjecture,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f5,negated_conjecture,
~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
inference(negated_conjecture,[status(cth)],[f4]) ).
tff(f6,definition,
( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f7,plain,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG0),
inference(fool_elimination,[],[f1,f6]) ).
tff(f8,definition,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f9,plain,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG1),
inference(fool_elimination,[],[f3,f8]) ).
tff(f10,definition,
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f11,plain,
~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
inference(fool_elimination,[],[f5,f10]) ).
tff(f12,plain,
~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
inference(flattening,[],[f11]) ).
tff(f13,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( $true = bG1 ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f14,plain,
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f10]) ).
tff(f15,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ? [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f16,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ? [X1: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X1) ) ) ),
inference(rectify,[],[f15]) ).
tff(f17,plain,
( ( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ( ~ 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)],[f16]) ).
tff(f18,plain,
( ( ( lChris_THFTYPE_i = lChris_THFTYPE_i )
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f19,plain,
( ( $true = bG2 )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f14]) ).
tff(f23,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f24,plain,
( ( bG0 = $true )
| ( lChris_THFTYPE_i != lChris_THFTYPE_i ) ),
inference(cnf_transformation,[],[f18]) ).
tff(f26,plain,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG0),
inference(cnf_transformation,[],[f7]) ).
tff(f27,plain,
likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
inference(cnf_transformation,[],[f2]) ).
tff(f28,plain,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG1),
inference(cnf_transformation,[],[f9]) ).
tff(f29,plain,
~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,bG2),
inference(cnf_transformation,[],[f12]) ).
tff(f31,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f32,plain,
bG0 = $true,
inference(trivial_inequality_removal,[],[f24]) ).
tff(f38,definition,
( spl4_2
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f39,plain,
( ( $true != bG1 )
| spl4_2 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f48,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(f49,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f50,plain,
( ~ spl4_2
| spl4_4 ),
inference(avatar_split_clause,[],[f23,f48,f38]) ).
tff(f52,definition,
( spl4_5
<=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f54,plain,
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
| spl4_5 ),
inference(avatar_component_clause,[],[f52]) ).
tff(f56,definition,
( spl4_6
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f57,plain,
( ( $true != bG2 )
| spl4_6 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f58,plain,
( ( $true = bG2 )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f59,plain,
( ~ spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f19,f56,f52]) ).
tff(f61,plain,
knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true),
inference(superposition,[],[f26,f32]) ).
tff(f63,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ spl4_4
| spl4_5 ),
inference(resolution,[],[f49,f54]) ).
tff(f64,plain,
( $false
| ~ spl4_4
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f63,f27]) ).
tff(f65,plain,
( ~ spl4_4
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f64]) ).
tff(f66,plain,
( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true)
| ~ spl4_6 ),
inference(superposition,[],[f29,f58]) ).
tff(f67,plain,
( $false
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f66,f61]) ).
tff(f68,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f67]) ).
tff(f75,plain,
( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false)
| ( $true = bG2 ) ),
inference(superposition,[],[f29,f31]) ).
tff(f78,plain,
( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false)
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f75,f57]) ).
tff(f80,plain,
( ! [X0: $o] :
( ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,(X0))
| ( $true = (X0) ) )
| spl4_6 ),
inference(superposition,[],[f78,f31]) ).
tff(f82,plain,
( ( $true = bG1 )
| spl4_6 ),
inference(resolution,[],[f80,f28]) ).
tff(f84,plain,
( $false
| spl4_2
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f82,f39]) ).
tff(f85,plain,
( spl4_2
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f84]) ).
cnf(s3,plain,
( ~ spl4_2
| spl4_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
( ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
( ~ spl4_4
| spl4_5 ),
inference(sat_conversion,[],[f65]) ).
cnf(s7,plain,
~ spl4_6,
inference(sat_conversion,[],[f68]) ).
cnf(s8,plain,
( spl4_2
| spl4_6 ),
inference(sat_conversion,[],[f85]) ).
cnf(s9,plain,
spl4_2,
inference(rat,[],[s8,s7]) ).
cnf(s10,plain,
~ spl4_5,
inference(rat,[],[s4,s7]) ).
cnf(s11,plain,
~ spl4_4,
inference(rat,[],[s6,s10]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s11,s9]) ).
tff(f86,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR152_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.18 % Computer : n018.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Mon Sep 28 23:40:40 UTC 2026
% 0.12/0.18 % CPUTime :
% 0.12/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.21 Running first-order theorem proving
% 0.12/0.22 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
% 3.70/1.28 % (3899823)Detected formulas, will run a generic FOF schedule.
% 3.70/1.28 % (3899955)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=3064640406:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.70/1.28 % (3899957)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=956705891:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.70/1.28 % (3899956)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2835343301:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.70/1.28 % (3899956)Refutation not found, incomplete strategy
% 3.70/1.28 % (3899956)------------------------------
% 3.70/1.28 % (3899956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.28 % (3899956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.28 % (3899956)CaDiCaL version: 2.1.3
% 3.70/1.28 % (3899956)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.28 % (3899956)Time elapsed: 0.001 s
% 3.70/1.28 % (3899956)Peak memory usage: 88 MB
% 3.70/1.28 % (3899953)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=356820081:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.70/1.28 % (3899954)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=1464954982:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.70/1.28 % (3899958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=542456328:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.70/1.28 % (3899959)dis-21_1_sil=8000:lcm=predicate:random_seed=3573135476: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)
% 3.70/1.28 % (3899959)Refutation not found, incomplete strategy
% 3.70/1.28 % (3899959)------------------------------
% 3.70/1.28 % (3899959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.28 % (3899959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.28 % (3899959)CaDiCaL version: 2.1.3
% 3.70/1.28 % (3899959)Termination reason: Refutation not found, incomplete strategy
% 3.70/1.28 % (3899959)Time elapsed: 0.002 s
% 3.70/1.28 % (3899959)Peak memory usage: 88 MB
% 3.70/1.28 % (3899959)Instructions burned: 1 (million)
% 3.70/1.28 % (3899958)First to succeed.
% 3.70/1.28 % (3899958)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3899823"
% 3.70/1.28 % (3899957)Instruction limit reached!
% 3.70/1.28 % (3899957)------------------------------
% 3.70/1.28 % (3899957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.28 % (3899957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.28 % (3899957)CaDiCaL version: 2.1.3
% 3.70/1.28 % (3899957)Termination reason: Instruction limit
% 3.70/1.28 % (3899957)Termination phase: Saturation
% 3.70/1.28 % (3899957)Time elapsed: 0.050 s
% 3.70/1.28 % (3899957)Peak memory usage: 87 MB
% 3.70/1.28 % (3899957)Instructions burned: 120 (million)
% 3.70/1.28 % (3899967)lrs+10_1_sil=8000:sp=occurrence:random_seed=2454746199:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.70/1.28 % (3899967)Also succeeded, but the first one will report.
% 3.70/1.28 % (3899956)------------------------------
% 3.70/1.28 % (3899956)------------------------------
% 3.70/1.28 % (3899959)------------------------------
% 3.70/1.28 % (3899959)------------------------------
% 3.70/1.28 % (3899958)Refutation found. Thanks to Tanya!
% 3.70/1.28 % SZS status Theorem for theBenchmark
% 3.70/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.28 % (3899958)------------------------------
% 3.70/1.28 % (3899958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.28 % (3899958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.28 % (3899958)CaDiCaL version: 2.1.3
% 3.70/1.28 % (3899958)Termination reason: Refutation
% 3.70/1.28 % (3899958)Time elapsed: 0.004 s
% 3.70/1.28 % (3899958)Peak memory usage: 89 MB
% 3.70/1.28 % (3899958)Instructions burned: 3 (million)
% 3.70/1.28 % (3899958)------------------------------
% 3.70/1.28 % (3899958)------------------------------
% 3.70/1.28 % (3899823)Success in time 0.437 s
% 3.70/1.28 % Vampire exiting
%------------------------------------------------------------------------------