%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR136^2 : 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 : n003.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 07:47:18 AM UTC 2026
% Result : Theorem 0.36s 0.32s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 6
% Syntax : Number of formulae : 66 ( 14 unt; 0 typ; 2 def)
% Number of atoms : 412 ( 104 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 401 ( 79 ~; 70 |; 8 &; 232 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 14 usr; 8 con; 0-4 aty)
% ( 10 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 120 ( 8 sgn 68 !; 4 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
num: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_6,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_7,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_9,type,
vNOT: $o > $o ).
thf(func_def_12,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_13,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f2,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
thf(f4,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_003) ).
thf(f6,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_005) ).
thf(f12,conjecture,
? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f13,negated_conjecture,
~ ? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
thf(f16,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f2]) ).
thf(f17,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f20,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(rectify,[],[f4]) ).
thf(f21,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[],[f20]) ).
thf(f24,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(rectify,[],[f6]) ).
thf(f25,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(fool_elimination,[],[f24]) ).
thf(f36,plain,
~ ? [X0: $i > $i > $o] :
( ~ ! [X1: $i,X2: $i] : ( X0 @ X1 @ X2 )
& ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(rectify,[],[f13]) ).
thf(f37,plain,
~ ? [X0: $i > $i > $o] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
& ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true )
& ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(fool_elimination,[],[f36]) ).
thf(f38,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(ennf_transformation,[],[f37]) ).
thf(f40,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f42,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f44,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(cnf_transformation,[],[f25]) ).
thf(f50,plain,
! [X0: $i > $i > $o] :
( ( $true
!= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(cnf_transformation,[],[f38]) ).
thf(f53,plain,
! [X0: $i > $i > $o] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(not_proxy_clausification,[],[f50]) ).
thf(f54,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] : ( X0 @ Y1 @ Y0 ) )
@ X1 ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f53]) ).
thf(f55,plain,
! [X0: $i > $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( X0 @ Y0 @ X1 ) ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(beta-eta_normalization,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( $true
= ( ^ [Y0: $i] : ( X0 @ Y0 @ X1 )
@ X2 ) )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true ) ),
inference(pi_proxy_clausification,[],[f55]) ).
thf(f57,plain,
! [X2: $i,X0: $i > $i > $o,X1: $i] :
( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
!= $true )
| ( $true
= ( X0 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f56]) ).
thf(f58,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i )
= $false ),
inference(not_proxy_clausification,[],[f42]) ).
thf(f64,plain,
! [X2: $i,X3: $i > $i > $o,X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] :
~ ( X3 @ Y0 @ Y1 )
@ lSue_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] :
~ ( X3 @ Y0 @ Y1 )
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] :
~ ( X3 @ Y0 @ Y1 )
@ X2
@ X1 ) ) ),
inference(primitive_instantiation,[],[f57]) ).
thf(f67,plain,
! [X2: $i,X3: $i > $i > $o,X1: $i] :
( ( $true
!= ( ~ ( X3 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) )
| ( $true
!= ( ~ ( X3 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
| ( $true
= ( ~ ( X3 @ X2 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f68,plain,
! [X2: $i,X3: $i > $i > $o,X1: $i] :
( ( $true
= ( X3 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( $true
!= ( ~ ( X3 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
| ( $true
= ( ~ ( X3 @ X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f67]) ).
thf(f69,plain,
! [X2: $i,X3: $i > $i > $o,X1: $i] :
( ( $true
= ( X3 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( $true
= ( X3 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( $true
= ( ~ ( X3 @ X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f68]) ).
thf(f70,plain,
! [X2: $i,X3: $i > $i > $o,X1: $i] :
( ( $true
= ( X3 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( $false
= ( X3 @ X2 @ X1 ) )
| ( $true
= ( X3 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(not_proxy_clausification,[],[f69]) ).
thf(f90,definition,
( spl0_2
<=> ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f91,plain,
( ( lBill_THFTYPE_i != lMary_THFTYPE_i )
| spl0_2 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f92,plain,
( ( lBill_THFTYPE_i = lMary_THFTYPE_i )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f94,definition,
( spl0_3
<=> ( lSue_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f95,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
| spl0_3 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f96,plain,
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f114,plain,
! [X2: $i,X0: $i > $i > $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( ^ [Y0: $i,Y1: $i] :
( likes_THFTYPE_IiioI @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] :
( likes_THFTYPE_IiioI @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ X1
@ X2 ) )
| ( lSue_THFTYPE_i
!= ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(constrained_superposition,[],[f57,f40]) ).
thf(f118,plain,
! [X2: $i,X0: $i > $i > $i,X1: $i] :
( ( $true
!= ( ^ [Y0: $i,Y1: $i] :
( likes_THFTYPE_IiioI @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] :
( likes_THFTYPE_IiioI @ ( X0 @ Y0 @ Y1 )
@ ( ^ [Y2: $i,Y3: $i] : Y3
@ Y0
@ Y1 ) )
@ X1
@ X2 ) )
| ( lSue_THFTYPE_i
!= ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f119,plain,
! [X2: $i,X0: $i > $i > $i,X1: $i] :
( ( $true
!= ( likes_THFTYPE_IiioI @ ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) @ lBill_THFTYPE_i ) )
| ( $true
= ( likes_THFTYPE_IiioI @ ( X0 @ X1 @ X2 ) @ X2 ) )
| ( lSue_THFTYPE_i
!= ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f118]) ).
thf(f122,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ lSue_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $false
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ X2
@ X1 ) )
| ( $true
= ( ^ [Y0: $i,Y1: $i] : ( Y0 = Y1 )
@ lMary_THFTYPE_i
@ lBill_THFTYPE_i ) ) ),
inference(primitive_instantiation,[],[f70]) ).
thf(f240,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( lSue_THFTYPE_i = lBill_THFTYPE_i ) )
| ( $false
= ( X2 = X1 ) )
| ( $true
= ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ) ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f241,plain,
! [X2: $i,X1: $i] :
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
| ( $false
= ( X2 = X1 ) )
| ( $true
= ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f240]) ).
thf(f242,plain,
! [X2: $i,X1: $i] :
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
| ( X1 != X2 )
| ( $true
= ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ) ),
inference(equality_proxy_clausification,[],[f241]) ).
thf(f243,plain,
! [X2: $i,X1: $i] :
( ( lSue_THFTYPE_i = lBill_THFTYPE_i )
| ( X1 != X2 )
| ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ),
inference(equality_proxy_clausification,[],[f242]) ).
thf(f1024,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
= $false )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f58,f92]) ).
thf(f1077,plain,
( ( $true = $false )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f1024,f40]) ).
thf(f1118,plain,
( $false
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1077]) ).
thf(f1119,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1118]) ).
thf(f1133,plain,
( ! [X2: $i,X0: $i > $i > $i,X1: $i] :
( ( $true
!= ( likes_THFTYPE_IiioI @ ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) @ lBill_THFTYPE_i ) )
| ( lBill_THFTYPE_i
!= ( X0 @ lBill_THFTYPE_i @ lBill_THFTYPE_i ) )
| ( $true
= ( likes_THFTYPE_IiioI @ ( X0 @ X1 @ X2 ) @ X2 ) ) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f119,f96]) ).
thf(f1214,plain,
( ( $false
= ( likes_THFTYPE_IiioI @ lBill_THFTYPE_i @ lMary_THFTYPE_i ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f58,f96]) ).
thf(f1408,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( lBill_THFTYPE_i
!= ( ^ [Y0: $i,Y1: $i] : Y0
@ lBill_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
= ( likes_THFTYPE_IiioI
@ ( ^ [Y0: $i,Y1: $i] : Y0
@ X0
@ X1 )
@ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f1133,f44]) ).
thf(f1421,plain,
( ! [X0: $i,X1: $i] :
( ( lBill_THFTYPE_i
!= ( ^ [Y0: $i,Y1: $i] : Y0
@ lBill_THFTYPE_i
@ lBill_THFTYPE_i ) )
| ( $true
= ( likes_THFTYPE_IiioI
@ ( ^ [Y0: $i,Y1: $i] : Y0
@ X0
@ X1 )
@ X1 ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1408]) ).
thf(f1422,plain,
( ! [X0: $i,X1: $i] :
( ( lBill_THFTYPE_i != lBill_THFTYPE_i )
| ( $true
= ( likes_THFTYPE_IiioI @ X0 @ X1 ) ) )
| ~ spl0_3 ),
inference(beta-eta_normalization,[],[f1421]) ).
thf(f1423,plain,
( ! [X0: $i,X1: $i] :
( $true
= ( likes_THFTYPE_IiioI @ X0 @ X1 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1422]) ).
thf(f1622,plain,
( ( $true = $false )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f1423,f1214]) ).
thf(f1649,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1622]) ).
thf(f1650,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1649]) ).
thf(f1656,plain,
( ! [X2: $i,X1: $i] :
( ( X1 != X2 )
| ( lBill_THFTYPE_i = lMary_THFTYPE_i ) )
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f243,f95]) ).
thf(f1660,plain,
( ! [X2: $i,X1: $i] : ( X1 != X2 )
| spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1656,f91]) ).
thf(f1661,plain,
( $false
| spl0_2
| spl0_3 ),
inference(flex-flex_simplification,[],[f1660]) ).
thf(f1662,plain,
( spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f1119]) ).
cnf(s8,plain,
~ spl0_3,
inference(sat_conversion,[],[f1650]) ).
cnf(s11,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s12,plain,
spl0_2,
inference(rat,[],[s11,s8]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s12]) ).
thf(f1663,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR136^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:57:59 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.36/0.32 % (2844983)Will run a generic schedule for satisfiability detection.
% 0.36/0.32 % (2844995)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1166808468:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.36/0.32 % (2844996)dis+10_1_sil=32000:sp=arity:random_seed=3268428484:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.36/0.32 % (2844993)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2198578135_3000 on theBenchmark for (3000ds/0Mi)
% 0.36/0.32 % (2844998)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2892814390:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.36/0.32 % (2844997)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3396957034:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.36/0.32 % Exception at run slice level
% 0.36/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.32 % (2844997)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.32 % (2844994)% WARNING: option uhcvi not known.
% 0.36/0.32 % (2844999)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=304028608:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.36/0.32 % (2844994)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=458800676:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.36/0.32 % (2844994)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.36/0.32 % (2844994)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.36/0.32 % (2845008)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1744472829:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.32 % Exception at run slice level
% 0.36/0.32 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.36/0.32 % (2845024)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3347486989:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.32 % (2844996)Instruction limit reached!
% 0.36/0.32 % (2844996)------------------------------
% 0.36/0.32 % (2844996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.32 % (2844996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.32 % (2844996)CaDiCaL version: 2.1.3
% 0.36/0.32 % (2844996)Termination reason: Instruction limit
% 0.36/0.32 % (2844996)Termination phase: Saturation
% 0.36/0.32 % (2844996)Time elapsed: 0.049 s
% 0.36/0.32 % (2844996)Peak memory usage: 12 MB
% 0.36/0.32 % (2844996)Instructions burned: 103 (million)
% 0.36/0.32 % (2844997)Instruction limit reached!
% 0.36/0.32 % (2844997)------------------------------
% 0.36/0.32 % (2844997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.32 % (2844997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.32 % (2844997)CaDiCaL version: 2.1.3
% 0.36/0.32 % (2844997)Termination reason: Instruction limit
% 0.36/0.32 % (2844997)Termination phase: Saturation
% 0.36/0.32 % (2844997)Time elapsed: 0.054 s
% 0.36/0.32 % (2844997)Peak memory usage: 12 MB
% 0.36/0.32 % (2844997)Instructions burned: 116 (million)
% 0.36/0.32 % (2844998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2844983-2844998"...
% 0.36/0.32 % (2844998)...printing done.
% 0.36/0.32 % (2844998)Refutation found. Thanks to Tanya!
% 0.36/0.32 % SZS status Theorem for theBenchmark
% 0.36/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.32 % (2844998)------------------------------
% 0.36/0.32 % (2844998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.32 % (2844998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.32 % (2844998)CaDiCaL version: 2.1.3
% 0.36/0.32 % (2844998)Termination reason: Refutation
% 0.36/0.32 % (2844998)Time elapsed: 0.064 s
% 0.36/0.32 % (2844998)Peak memory usage: 13 MB
% 0.36/0.32 % (2844998)Instructions burned: 134 (million)
% 0.36/0.32 % (2844983)Success in time 0.089 s
% 0.36/0.32 % Vampire exiting
%------------------------------------------------------------------------------