%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR142^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 : Wed Sep 30 07:47:08 AM UTC 2026
% Result : Theorem 0.22s 0.29s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 16 unt; 0 typ; 2 def)
% Number of atoms : 148 ( 31 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 144 ( 26 ~; 21 |; 0 &; 90 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 36 !; 4 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_3,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_4,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(f1,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(f2,axiom,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X3: $i,X2: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(f3,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(f4,conjecture,
? [X0: $i] : ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f5,negated_conjecture,
~ ? [X0: $i] : ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X3 @ X2 )
<=> ( X0 @ X2 @ X3 ) ) ),
inference(rectify,[],[f2]) ).
thf(f7,plain,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
= $true )
=> ! [X3: $i,X2: $i] :
( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(rectify,[],[f3]) ).
thf(f9,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(rectify,[],[f1]) ).
thf(f11,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ? [X0: $i] : ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
~ ? [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(ennf_transformation,[],[f13]) ).
thf(f15,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ! [X3: $i,X2: $i] :
( ( X0 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f7]) ).
thf(f16,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(rectify,[],[f15]) ).
thf(f17,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f9]) ).
thf(f18,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f19,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f20,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f22,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( ( X0 @ X3 @ X2 )
= $false )
| ( ( X1 @ X2 @ X3 )
= $true ) ),
inference(iff_proxy_clausification,[],[f18]) ).
thf(f25,definition,
( spl0_1
<=> ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f27,plain,
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
thf(f28,plain,
spl0_1,
inference(avatar_split_clause,[],[f17,f25]) ).
thf(f30,definition,
( spl0_2
<=> ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f32,plain,
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
thf(f33,plain,
spl0_2,
inference(avatar_split_clause,[],[f20,f30]) ).
thf(f34,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( $true != $true )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(superposition,[],[f22,f32]) ).
thf(f35,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X1 @ X0 ) )
| ( ( wife_THFTYPE_IiioI @ X0 @ X1 )
= $false ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f36,plain,
( ! [X0: $i] :
( ( $false
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(superposition,[],[f19,f35]) ).
thf(f37,plain,
( ! [X0: $i] :
( $false
= ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f36]) ).
thf(f38,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f27]) ).
thf(f42,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f38]) ).
thf(f43,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f42]) ).
cnf(s1,plain,
spl0_1,
inference(sat_conversion,[],[f28]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f33]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f43]) ).
cnf(s5,plain,
~ spl0_1,
inference(rat,[],[s4,s2]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5]) ).
thf(f44,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR142^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:56:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.29 % (3210272)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.29 % (3210280)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2313551091:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.29 % (3210280) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3210272-3210280"...
% 0.22/0.29 % (3210280)...printing done.
% 0.22/0.29 % (3210283)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.29 % (3210283)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.29 % (3210280)Refutation found. Thanks to Tanya!
% 0.22/0.29 % SZS status Theorem for theBenchmark
% 0.22/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.29 % (3210280)------------------------------
% 0.22/0.29 % (3210280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.29 % (3210280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.29 % (3210280)CaDiCaL version: 2.1.3
% 0.22/0.29 % (3210280)Termination reason: Refutation
% 0.22/0.29 % (3210280)Time elapsed: 0.002 s
% 0.22/0.29 % (3210280)Peak memory usage: 13 MB
% 0.22/0.29 % (3210280)Instructions burned: 3 (million)
% 0.22/0.29 % (3210272)Success in time 0.029 s
% 0.22/0.29 % Vampire exiting
%------------------------------------------------------------------------------