%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU670^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 08:32:55 AM UTC 2026
% Result : Theorem 0.06s 0.17s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 49 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 315 ( 67 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 602 ( 8 ~; 4 |; 27 &; 480 @)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 40 >; 0 *; 0 +; 0 <<)
% Number of symbols : 30 ( 25 usr; 10 con; 0-4 aty)
% ( 39 !!; 8 ??; 0 @@+; 0 @@-)
% Number of variables : 186 ( 99 ^; 73 !; 14 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_2,type,
dsetconstrEL: $o ).
thf(func_def_4,type,
kpair: $i > $i > $i ).
thf(func_def_5,type,
cartprod: $i > $i > $i ).
thf(func_def_6,type,
cartprodpairmemER: $o ).
thf(func_def_7,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_8,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_9,type,
vIMP: $o > $o > $o ).
thf(func_def_10,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_14,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_16,type,
vAND: $o > $o > $o ).
thf(func_def_17,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_23,type,
sK2: $i > $i > $o ).
thf(func_def_26,type,
vNOT: $o > $o ).
thf(f1,axiom,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dsetconstrEL) ).
thf(f2,axiom,
( cartprodpairmemER
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
=> ( in @ X3 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartprodpairmemER) ).
thf(f3,axiom,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 )
& ( in @ X5 @ X1 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstr) ).
thf(f4,conjecture,
( dsetconstrEL
=> ( cartprodpairmemER
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X4 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dpsetconstrEL2) ).
thf(f5,negated_conjecture,
~ ( dsetconstrEL
=> ( cartprodpairmemER
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X4 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( dsetconstrEL
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) )
=> ( in @ X2 @ X0 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f7,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
( cartprodpairmemER
= ( ! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) )
=> ( in @ X3 @ X1 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f9,plain,
( cartprodpairmemER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y0 ) @ ( cartprod @ Y3 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 )
& ( in @ X5 @ X1 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
~ ( dsetconstrEL
=> ( cartprodpairmemER
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) )
=> ( in @ X4 @ X1 ) ) ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
~ ( ( dsetconstrEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( $true
= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
=> ( ( in @ X4 @ X1 )
= $true ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( ( in @ X4 @ X1 )
!= $true )
& ( $true
= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) )
& ( cartprodpairmemER = $true )
& ( dsetconstrEL = $true ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f15,plain,
( ? [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i,X4: $i] :
( ( ( in @ X4 @ X1 )
!= $true )
& ( $true
= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) )
& ( cartprodpairmemER = $true )
& ( dsetconstrEL = $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ( $true
!= ( in @ sK4 @ sK1 ) )
& ( $true
= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dpsetconstr @ sK0 @ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) )
& ( cartprodpairmemER = $true )
& ( dsetconstrEL = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f15]) ).
thf(f17,plain,
( dsetconstrEL
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f18,plain,
( cartprodpairmemER
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y0 ) @ ( cartprod @ Y3 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f19,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f20,plain,
dsetconstrEL = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f21,plain,
cartprodpairmemER = $true,
inference(cnf_transformation,[],[f16]) ).
thf(f22,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dpsetconstr @ sK0 @ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f23,plain,
( $true
!= ( in @ sK4 @ sK1 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f26,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f17,f20]) ).
thf(f27,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y0 ) @ ( cartprod @ Y3 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f18,f21]) ).
thf(f28,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) )
@ sK0
@ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f22,f19]) ).
thf(f29,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dsetconstr @ ( cartprod @ sK0 @ sK1 )
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK0 )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ sK1 )
& ( sK2 @ Y1 @ Y2 )
& ( ( kpair @ Y1 @ Y2 )
= Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f30,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( in @ ( kpair @ Y1 @ Y0 ) @ ( cartprod @ Y3 @ Y2 ) )
=> ( in @ Y0 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f27]) ).
thf(f31,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y0 @ X1 ) @ ( cartprod @ Y2 @ Y1 ) )
=> ( in @ X1 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ ( kpair @ Y0 @ X1 ) @ ( cartprod @ Y2 @ Y1 ) )
=> ( in @ X1 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f31]) ).
thf(f33,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f34,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y0 ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f33]) ).
thf(f35,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ Y0 @ X3 ) )
=> ( in @ X1 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ Y0 @ X3 ) )
=> ( in @ X1 @ X3 ) )
@ X4 ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( $true
= ( ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ X4 @ X3 ) )
=> ( in @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( in @ ( kpair @ X2 @ X1 ) @ ( cartprod @ X4 @ X3 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) )
=> ( in @ Y0 @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f26]) ).
thf(f40,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f41,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) )
=> ( in @ X1 @ Y1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) )
=> ( in @ X1 @ Y0 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) )
=> ( in @ X1 @ X3 ) ) ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $true
= ( in @ X1 @ X3 ) ) ),
inference(imp_proxy_clausification,[],[f44]) ).
thf(f63,plain,
( ( $true = $false )
| ( $true
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f45,f29]) ).
thf(f64,plain,
( $true
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f63]) ).
thf(f67,plain,
( ( $true = $false )
| ( $true
= ( in @ sK4 @ sK1 ) ) ),
inference(constrained_superposition,[],[f38,f64]) ).
thf(f68,plain,
( $true
= ( in @ sK4 @ sK1 ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f72,plain,
$true != $true,
inference(constrained_superposition,[],[f23,f68]) ).
thf(f73,plain,
$false,
inference(trivial_inequality_removal,[],[f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU670^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.11 % Computer : n012.cluster.edu
% 0.06/0.11 % Model : x86_64 x86_64
% 0.06/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.11 % Memory : 8046.5625MB
% 0.06/0.11 % OS : Linux 6.8.0-71-generic
% 0.06/0.12 % CPULimit : 300
% 0.06/0.12 % WCLimit : 300
% 0.06/0.12 % DateTime : Tue Sep 29 14:06:34 UTC 2026
% 0.06/0.12 % CPUTime :
% 0.06/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.13 Running first-order model finding
% 0.06/0.13 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % (157824)Will run a generic schedule for satisfiability detection.
% 0.06/0.17 % (157830)% WARNING: option uhcvi not known.
% 0.06/0.17 % (157833)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=540536455:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.17 % (157829)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1625762886_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.17 % (157831)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2911534017:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.17 % (157834)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1633090308:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.17 % (157832)dis+10_1_sil=32000:sp=arity:random_seed=1772857832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.17 % (157830)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1797755114:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.17 % (157835)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=168751123:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.17 % (157830)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.06/0.17 % (157833)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 0.06/0.17 % Exception at run slice level% (157830)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 0.06/0.17
% 0.06/0.17 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.06/0.17 % (157833) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157833"...
% 0.06/0.17 % (157835) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157835"...
% 0.06/0.17 % (157832) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157832"...
% 0.06/0.17 % (157830) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157830"...
% 0.06/0.17 % (157831) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157831"...
% 0.06/0.17 % (157834) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-157824-157834"...
% 0.06/0.17 % (157833)...printing done.
% 0.06/0.17 % (157832)...printing done.
% 0.06/0.17 % (157835)...printing done.
% 0.06/0.17 % (157830)...printing done.
% 0.06/0.17 % (157835)Refutation found. Thanks to Tanya!
% 0.06/0.17 % SZS status Theorem for theBenchmark
% 0.06/0.17 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.17 % (157835)------------------------------
% 0.06/0.17 % (157835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.17 % (157835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.17 % (157835)CaDiCaL version: 2.1.3
% 0.06/0.17 % (157835)Termination reason: Refutation
% 0.06/0.17 % (157835)Time elapsed: 0.003 s
% 0.06/0.17 % (157835)Peak memory usage: 12 MB
% 0.06/0.17 % (157835)Instructions burned: 8 (million)
% 0.06/0.17 % (157824)Success in time 0.029 s
% 0.06/0.17 % Vampire exiting
%------------------------------------------------------------------------------