%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR142^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 07:47:19 AM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 24 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 98 ( 9 ~; 8 |; 0 &; 76 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 34 ( 0 ^; 30 !; 4 ?; 34 :)
% 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(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
db3:
!>[X0: $tType] : X0 ).
thf(f1,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(f2,axiom,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(f3,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).
thf(f4,conjecture,
? [X0: $i] : ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox2/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,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(rectify,[],[f1]) ).
thf(f7,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
<=> ( X0 @ X3 @ X2 ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
! [X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
= $true )
=> ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(rectify,[],[f3]) ).
thf(f11,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $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 > $i > $o,X1: $i > $i > $o] :
( ! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f15,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(ennf_transformation,[],[f13]) ).
thf(f16,plain,
( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
= $true ),
inference(cnf_transformation,[],[f7]) ).
thf(f17,plain,
! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
( ( ( X1 @ X2 @ X3 )
= ( X0 @ X3 @ X2 ) )
| ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f18,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f11]) ).
thf(f19,plain,
! [X0: $i] :
( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
!= $true ),
inference(cnf_transformation,[],[f15]) ).
thf(f22,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,[],[f17]) ).
thf(f79,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) )
| ( $false
= ( wife_THFTYPE_IiioI @ X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f22,f16]) ).
thf(f80,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( husband_THFTYPE_IiioI @ X0 @ X1 ) )
| ( $false
= ( wife_THFTYPE_IiioI @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f193,plain,
( ( $true = $false )
| ( $true
= ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(constrained_superposition,[],[f18,f80]) ).
thf(f194,plain,
( $true
= ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f200,plain,
$false,
inference(forward_subsumption_resolution,[],[f194,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR142^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n001.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 18:02:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.27 % (1609727)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (1609734)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=660002133:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (1609734) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1609727-1609734"...
% 0.19/0.27 % (1609733)% WARNING: option uhcvi not known.
% 0.19/0.27 % (1609734)...printing done.
% 0.19/0.27 % (1609734)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (1609734)------------------------------
% 0.19/0.27 % (1609734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (1609734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (1609734)CaDiCaL version: 2.1.3
% 0.19/0.27 % (1609734)Termination reason: Refutation
% 0.19/0.27 % (1609734)Time elapsed: 0.004 s
% 0.19/0.27 % (1609734)Peak memory usage: 12 MB
% 0.19/0.27 % (1609734)Instructions burned: 11 (million)
% 0.19/0.27 % (1609727)Success in time 0.034 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------