%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR143^1 : 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 : n013.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 07:47:09 AM UTC 2026
% Result : Theorem 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 179 ( 41 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 181 ( 14 ~; 15 |; 0 &; 147 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 54 ( 0 ^; 50 !; 4 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_1,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_4,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_6,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_11,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,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).
thf(f3,axiom,
! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).
thf(f4,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).
thf(f5,conjecture,
? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f6,negated_conjecture,
~ ? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f7,plain,
! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
inference(rectify,[],[f3]) ).
thf(f8,plain,
! [X0: $i] :
( $true
= ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(rectify,[],[f1]) ).
thf(f10,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
~ ? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ),
inference(rectify,[],[f6]) ).
thf(f12,plain,
~ ? [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
inference(rectify,[],[f4]) ).
thf(f14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
=> ! [X2: $i,X3: $i] :
( ( X0 @ X2 @ X3 )
<=> ( X1 @ X3 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f16,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
= $true )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X3 @ X2 )
= ( X0 @ X2 @ X3 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
! [X1: $i > $i > $o,X0: $i > $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X1 @ X3 @ X2 )
= ( X0 @ X2 @ X3 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) )
!= $true ),
inference(ennf_transformation,[],[f12]) ).
thf(f19,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,[],[f17]) ).
thf(f20,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,[],[f19]) ).
thf(f21,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f14]) ).
thf(f22,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[],[f10]) ).
thf(f23,plain,
! [X0: $i] :
( $true
= ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f24,plain,
! [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( ( X1 @ X2 @ X3 )
= $true )
| ( ( X0 @ X3 @ X2 )
= $false ) ),
inference(iff_proxy_clausification,[],[f20]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true )
| ( ( X1 @ X2 @ X3 )
= $false )
| ( ( X0 @ X3 @ X2 )
= $true ) ),
inference(iff_proxy_clausification,[],[f20]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) )
| ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $false )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f22]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) )
| ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f29]) ).
thf(f31,plain,
! [X0: $i] :
( ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
!= $true )
| ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 )
= $false ) ),
inference(constrained_superposition,[],[f24,f30]) ).
thf(f32,plain,
! [X0: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 )
= $false ),
inference(forward_subsumption_resolution,[],[f31,f23]) ).
thf(f33,plain,
( $true
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
inference(constrained_superposition,[],[f21,f32]) ).
thf(f34,plain,
! [X0: $i,X1: $i] :
( ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
= $false )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f22]) ).
thf(f35,plain,
! [X0: $i,X1: $i] :
( ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
= $true )
| ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f34]) ).
thf(f40,plain,
! [X0: $i] :
( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 )
= $true )
| ( $true
!= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(constrained_superposition,[],[f24,f35]) ).
thf(f41,plain,
! [X0: $i] :
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X0 )
= $true ),
inference(forward_subsumption_resolution,[],[f40,f33]) ).
thf(f42,plain,
$true = $false,
inference(forward_demodulation,[],[f41,f32]) ).
thf(f43,plain,
$false,
inference(trivial_inequality_removal,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR143^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n013.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:56:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.21 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
% 0.09/0.25 % (2444924)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.09/0.25 % (2444936)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1786614883:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.09/0.25 % (2444936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2444924-2444936"...
% 0.09/0.25 % (2444936)...printing done.
% 0.09/0.25 % (2444942)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.09/0.25 % (2444942)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
% 0.09/0.25 % (2444936)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Theorem for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (2444936)------------------------------
% 0.09/0.25 % (2444936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (2444936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (2444936)CaDiCaL version: 2.1.3
% 0.09/0.25 % (2444936)Termination reason: Refutation
% 0.09/0.25 % (2444936)Time elapsed: 0.002 s
% 0.09/0.25 % (2444936)Peak memory usage: 12 MB
% 0.09/0.25 % (2444936)Instructions burned: 4 (million)
% 0.09/0.25 % (2444924)Success in time 0.036 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------