%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM951_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Tue Sep 29 12:17:41 PM UTC 2026
% Result : Theorem 5.33s 1.93s
% Output : Refutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 75 ( 59 unt; 0 typ; 0 def)
% Number of atoms : 113 ( 103 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 67 ( 29 ~; 23 |; 11 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 84 ( 84 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
bool: $tType ).
tff(type_def_6,type,
int: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(func_def_0,type,
minus_minus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_1,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_2,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_3,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_4,type,
bit0: int > int ).
tff(func_def_5,type,
bit1: int > int ).
tff(func_def_6,type,
min: int ).
tff(func_def_7,type,
pls: int ).
tff(func_def_8,type,
number_number_of:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_9,type,
power_power:
!>[X0: $tType] : ( ( X0 * nat ) > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
s: int ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
number_semiring:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
ab_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
comm_monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
ab_semigroup_mult:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
cancel146912293up_add:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f5,axiom,
! [X0: int] : ( minus_minus(int,min,bit0(X0)) = bit1(minus_minus(int,min,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_diff__bin__simps_I5_J) ).
tff(f7,axiom,
! [X0: int] : ( minus_minus(int,pls,bit1(X0)) = bit1(minus_minus(int,min,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_diff__bin__simps_I4_J) ).
tff(f20,axiom,
! [X0: int] :
( ( bit0(X0) = pls )
<=> ( X0 = pls ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_rel__simps_I44_J) ).
tff(f36,axiom,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_nat__1__add__1) ).
tff(f39,axiom,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_number__of__is__id) ).
tff(f40,axiom,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_add__Pls__right) ).
tff(f42,axiom,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_Bit0__def) ).
tff(f43,axiom,
! [X0: int] : ( minus_minus(int,X0,pls) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_diff__bin__simps_I1_J) ).
tff(f49,axiom,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_Bit1__def) ).
tff(f54,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0,X2: int,X3: int] : ( plus_plus(X0,number_number_of(X0,X3),minus_minus(X0,number_number_of(X0,X2),X1)) = minus_minus(X0,number_number_of(X0,plus_plus(int,X3,X2)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_add__number__of__diff1) ).
tff(f65,axiom,
! [X0: int] : ( times_times(int,pls,X0) = pls ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_mult__Pls) ).
tff(f84,axiom,
! [X0: int,X1: int] : ( times_times(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,times_times(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_times__numeral__code_I5_J) ).
tff(f88,axiom,
! [X0: int,X1: int,X2: int] : ( times_times(int,minus_minus(int,X2,X1),X0) = minus_minus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_int__distrib_I3_J) ).
tff(f91,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_mult__numeral__1) ).
tff(f92,axiom,
! [X0: int,X1: int] :
( ( times_times(int,X1,X0) = one_one(int) )
<=> ( ( ( X1 = one_one(int) )
& ( X0 = one_one(int) ) )
| ( ( X1 = number_number_of(int,min) )
& ( X0 = number_number_of(int,min) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_zmult__eq__1__iff) ).
tff(f106,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f124,conjecture,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f125,negated_conjecture,
( ( ~ minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) ) = plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)) ),
inference(negated_conjecture,[status(cth)],[f124]) ).
tff(f126,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
inference(flattening,[],[f125]) ).
tff(f127,plain,
! [X0: $tType] :
( ! [X1: X0,X2: int,X3: int] : ( plus_plus(X0,number_number_of(X0,X3),minus_minus(X0,number_number_of(X0,X2),X1)) = minus_minus(X0,number_number_of(X0,plus_plus(int,X3,X2)),X1) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f54]) ).
tff(f133,plain,
! [X0: $tType] :
( ! [X1: X0] : ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f91]) ).
tff(f150,plain,
! [X0: int] :
( ( ( bit0(X0) = pls )
| ( pls != X0 ) )
& ( ( X0 = pls )
| ( pls != bit0(X0) ) ) ),
inference(nnf_transformation,[],[f20]) ).
tff(f153,plain,
! [X0: int,X1: int] :
( ( ( times_times(int,X1,X0) = one_one(int) )
| ( ( ( one_one(int) != X1 )
| ( one_one(int) != X0 ) )
& ( ( number_number_of(int,min) != X1 )
| ( number_number_of(int,min) != X0 ) ) ) )
& ( ( ( X1 = one_one(int) )
& ( X0 = one_one(int) ) )
| ( ( X1 = number_number_of(int,min) )
& ( X0 = number_number_of(int,min) ) )
| ( one_one(int) != times_times(int,X1,X0) ) ) ),
inference(nnf_transformation,[],[f92]) ).
tff(f154,plain,
! [X0: int,X1: int] :
( ( ( times_times(int,X1,X0) = one_one(int) )
| ( ( ( one_one(int) != X1 )
| ( one_one(int) != X0 ) )
& ( ( number_number_of(int,min) != X1 )
| ( number_number_of(int,min) != X0 ) ) ) )
& ( ( ( X1 = one_one(int) )
& ( X0 = one_one(int) ) )
| ( ( X1 = number_number_of(int,min) )
& ( X0 = number_number_of(int,min) ) )
| ( one_one(int) != times_times(int,X1,X0) ) ) ),
inference(flattening,[],[f153]) ).
tff(f157,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,number_number_of(nat,bit0(bit1(pls)))),one_one(int)),
inference(cnf_transformation,[],[f126]) ).
tff(f158,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,minus_minus(int,X2,X1),X0) = minus_minus(int,times_times(int,X2,X0),times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f88]) ).
tff(f160,plain,
! [X0: $tType,X2: int,X3: int,X1: X0] :
( ~ number_ring(X0)
| ( plus_plus(X0,number_number_of(X0,X3),minus_minus(X0,number_number_of(X0,X2),X1)) = minus_minus(X0,number_number_of(X0,plus_plus(int,X3,X2)),X1) ) ),
inference(cnf_transformation,[],[f127]) ).
tff(f162,plain,
! [X0: int] : ( minus_minus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f43]) ).
tff(f167,plain,
! [X0: int] : ( bit1(minus_minus(int,min,X0)) = minus_minus(int,pls,bit1(X0)) ),
inference(cnf_transformation,[],[f7]) ).
tff(f169,plain,
! [X0: int] : ( minus_minus(int,min,bit0(X0)) = bit1(minus_minus(int,min,X0)) ),
inference(cnf_transformation,[],[f5]) ).
tff(f171,plain,
! [X0: int] : ( bit1(X0) = plus_plus(int,plus_plus(int,one_one(int),X0),X0) ),
inference(cnf_transformation,[],[f49]) ).
tff(f174,plain,
! [X0: int] : ( plus_plus(int,X0,pls) = X0 ),
inference(cnf_transformation,[],[f40]) ).
tff(f177,plain,
! [X0: int] : ( bit0(X0) = plus_plus(int,X0,X0) ),
inference(cnf_transformation,[],[f42]) ).
tff(f184,plain,
! [X0: int] :
( ( pls = bit0(X0) )
| ( pls != X0 ) ),
inference(cnf_transformation,[],[f150]) ).
tff(f197,plain,
! [X0: int,X1: int] :
( ( one_one(int) = times_times(int,X1,X0) )
| ( number_number_of(int,min) != X1 )
| ( number_number_of(int,min) != X0 ) ),
inference(cnf_transformation,[],[f154]) ).
tff(f212,plain,
number_number_of(nat,bit0(bit1(pls))) = plus_plus(nat,one_one(nat),one_one(nat)),
inference(cnf_transformation,[],[f36]) ).
tff(f214,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f39]) ).
tff(f222,plain,
! [X0: int,X1: int] : ( times_times(int,number_number_of(int,X1),number_number_of(int,X0)) = number_number_of(int,times_times(int,X1,X0)) ),
inference(cnf_transformation,[],[f84]) ).
tff(f223,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f224,plain,
number_ring(int),
inference(cnf_transformation,[],[f106]) ).
tff(f225,plain,
! [X0: $tType,X1: X0] :
( ( times_times(X0,number_number_of(X0,bit1(pls)),X1) = X1 )
| ~ number_ring(X0) ),
inference(cnf_transformation,[],[f133]) ).
tff(f241,plain,
minus_minus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls)))),one_one(int)),
inference(definition_unfolding,[],[f157,f177,f171,f177,f171]) ).
tff(f246,plain,
! [X0: int] : ( plus_plus(int,plus_plus(int,one_one(int),minus_minus(int,min,X0)),minus_minus(int,min,X0)) = minus_minus(int,pls,plus_plus(int,plus_plus(int,one_one(int),X0),X0)) ),
inference(definition_unfolding,[],[f167,f171,f171]) ).
tff(f248,plain,
! [X0: int] : ( plus_plus(int,plus_plus(int,one_one(int),minus_minus(int,min,X0)),minus_minus(int,min,X0)) = minus_minus(int,min,plus_plus(int,X0,X0)) ),
inference(definition_unfolding,[],[f169,f177,f171]) ).
tff(f257,plain,
! [X0: int] :
( ( pls = plus_plus(int,X0,X0) )
| ( pls != X0 ) ),
inference(definition_unfolding,[],[f184,f177]) ).
tff(f276,plain,
plus_plus(nat,one_one(nat),one_one(nat)) = number_number_of(nat,plus_plus(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),plus_plus(int,plus_plus(int,one_one(int),pls),pls))),
inference(definition_unfolding,[],[f212,f177,f171]) ).
tff(f281,plain,
! [X0: $tType,X1: X0] :
( ~ number_ring(X0)
| ( times_times(X0,number_number_of(X0,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),X1) = X1 ) ),
inference(definition_unfolding,[],[f225,f171]) ).
tff(f290,plain,
pls = plus_plus(int,pls,pls),
inference(equality_resolution,[],[f257]) ).
tff(f295,plain,
! [X0: int] :
( ( one_one(int) = times_times(int,number_number_of(int,min),X0) )
| ( number_number_of(int,min) != X0 ) ),
inference(equality_resolution,[],[f197]) ).
tff(f296,plain,
one_one(int) = times_times(int,number_number_of(int,min),number_number_of(int,min)),
inference(equality_resolution,[],[f295]) ).
tff(f304,plain,
one_one(int) = number_number_of(int,times_times(int,min,min)),
inference(forward_demodulation,[],[f296,f222]) ).
tff(f309,plain,
! [X0: int] : ( minus_minus(int,pls,plus_plus(int,plus_plus(int,one_one(int),X0),X0)) = minus_minus(int,min,plus_plus(int,X0,X0)) ),
inference(forward_demodulation,[],[f246,f248]) ).
tff(f310,plain,
minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),number_number_of(int,min)) != plus_plus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),one_one(int)),
inference(forward_demodulation,[],[f241,f276]) ).
tff(f312,plain,
one_one(int) = times_times(int,min,min),
inference(forward_demodulation,[],[f304,f214]) ).
tff(f315,plain,
plus_plus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),one_one(int)) != minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),
inference(forward_demodulation,[],[f310,f214]) ).
tff(f390,plain,
! [X0: int] : ( times_times(int,number_number_of(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls)),X0) = X0 ),
inference(resolution,[],[f281,f224]) ).
tff(f391,plain,
! [X0: int] : ( times_times(int,plus_plus(int,plus_plus(int,one_one(int),pls),pls),X0) = X0 ),
inference(forward_demodulation,[],[f390,f214]) ).
tff(f392,plain,
! [X0: int] : ( times_times(int,plus_plus(int,one_one(int),pls),X0) = X0 ),
inference(forward_demodulation,[],[f391,f174]) ).
tff(f393,plain,
! [X0: int] : ( times_times(int,one_one(int),X0) = X0 ),
inference(forward_demodulation,[],[f392,f174]) ).
tff(f406,plain,
! [X0: int,X1: int] : ( times_times(int,minus_minus(int,pls,X0),X1) = minus_minus(int,pls,times_times(int,X0,X1)) ),
inference(superposition,[],[f158,f223]) ).
tff(f639,plain,
minus_minus(int,min,plus_plus(int,pls,pls)) = minus_minus(int,pls,plus_plus(int,one_one(int),pls)),
inference(superposition,[],[f309,f174]) ).
tff(f643,plain,
minus_minus(int,min,plus_plus(int,pls,pls)) = minus_minus(int,pls,one_one(int)),
inference(forward_demodulation,[],[f639,f174]) ).
tff(f645,plain,
minus_minus(int,pls,one_one(int)) = minus_minus(int,min,pls),
inference(forward_demodulation,[],[f643,f290]) ).
tff(f647,plain,
min = minus_minus(int,pls,one_one(int)),
inference(forward_demodulation,[],[f645,f162]) ).
tff(f650,plain,
! [X0: int] : ( times_times(int,min,X0) = minus_minus(int,pls,times_times(int,one_one(int),X0)) ),
inference(superposition,[],[f406,f647]) ).
tff(f651,plain,
! [X0: int] : ( minus_minus(int,pls,X0) = times_times(int,min,X0) ),
inference(forward_demodulation,[],[f650,f393]) ).
tff(f666,plain,
one_one(int) = minus_minus(int,pls,min),
inference(superposition,[],[f312,f651]) ).
tff(f903,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X0),minus_minus(int,number_number_of(int,X1),X2)) = minus_minus(int,number_number_of(int,plus_plus(int,X0,X1)),X2) ),
inference(resolution,[],[f160,f224]) ).
tff(f904,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus(int,number_number_of(int,X0),minus_minus(int,number_number_of(int,X1),X2)) = minus_minus(int,plus_plus(int,X0,X1),X2) ),
inference(forward_demodulation,[],[f903,f214]) ).
tff(f905,plain,
! [X2: int,X0: int,X1: int] : ( minus_minus(int,plus_plus(int,X0,X1),X2) = plus_plus(int,number_number_of(int,X0),minus_minus(int,X1,X2)) ),
inference(forward_demodulation,[],[f904,f214]) ).
tff(f906,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus(int,X0,minus_minus(int,X1,X2)) = minus_minus(int,plus_plus(int,X0,X1),X2) ),
inference(forward_demodulation,[],[f905,f214]) ).
tff(f2429,plain,
! [X0: int] : ( plus_plus(int,X0,one_one(int)) = minus_minus(int,plus_plus(int,X0,pls),min) ),
inference(superposition,[],[f906,f666]) ).
tff(f2555,plain,
! [X0: int] : ( minus_minus(int,X0,min) = plus_plus(int,X0,one_one(int)) ),
inference(forward_demodulation,[],[f2429,f174]) ).
tff(f2816,plain,
minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min) != minus_minus(int,power_power(int,s,plus_plus(nat,one_one(nat),one_one(nat))),min),
inference(superposition,[],[f315,f2555]) ).
tff(f2879,plain,
$false,
inference(trivial_inequality_removal,[],[f2816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM951_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n015.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 21:51:01 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.92 % (2038248)Detected formulas, will run a generic FOF schedule.
% 5.33/1.92 % (2038256)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=339403324:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.33/1.92 % (2038257)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=661058994:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.33/1.92 % (2038261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4254472720:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.33/1.92 % (2038259)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1809742838:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.33/1.92 % (2038260)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3662552510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.33/1.92 % (2038258)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=869166065:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.33/1.92 % (2038259)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.33/1.92 % (2038258)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 5.33/1.92 % (2038262)dis-21_1_sil=8000:lcm=predicate:random_seed=3048107809:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.33/1.92 % (2038262)Refutation not found, incomplete strategy
% 5.33/1.92 % (2038262)------------------------------
% 5.33/1.92 % (2038262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.92 % (2038262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.92 % (2038262)CaDiCaL version: 2.1.3
% 5.33/1.92 % (2038262)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.92 % (2038262)Time elapsed: 0.017 s
% 5.33/1.92 % (2038262)Peak memory usage: 88 MB
% 5.33/1.92 % (2038262)Instructions burned: 15 (million)
% 5.33/1.92 % (2038260)Instruction limit reached!
% 5.33/1.92 % (2038260)------------------------------
% 5.33/1.92 % (2038260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.92 % (2038260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.92 % (2038260)CaDiCaL version: 2.1.3
% 5.33/1.92 % (2038260)Termination reason: Instruction limit
% 5.33/1.92 % (2038260)Termination phase: Saturation
% 5.33/1.92 % (2038260)Time elapsed: 0.108 s
% 5.33/1.92 % (2038260)Peak memory usage: 88 MB
% 5.33/1.92 % (2038260)Instructions burned: 119 (million)
% 5.33/1.92 % (2038259)Instruction limit reached!
% 5.33/1.92 % (2038259)------------------------------
% 5.33/1.92 % (2038259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.92 % (2038259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.92 % (2038259)CaDiCaL version: 2.1.3
% 5.33/1.92 % (2038259)Termination reason: Instruction limit
% 5.33/1.92 % (2038259)Termination phase: Saturation
% 5.33/1.92 % (2038259)Time elapsed: 0.112 s
% 5.33/1.92 % (2038259)Peak memory usage: 89 MB
% 5.33/1.92 % (2038259)Instructions burned: 110 (million)
% 5.33/1.92 % (2038261)Instruction limit reached!
% 5.33/1.92 % (2038261)------------------------------
% 5.33/1.92 % (2038261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.92 % (2038261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.92 % (2038261)CaDiCaL version: 2.1.3
% 5.33/1.92 % (2038261)Termination reason: Instruction limit
% 5.33/1.92 % (2038261)Termination phase: Saturation
% 5.33/1.92 % (2038261)Time elapsed: 0.137 s
% 5.33/1.92 % (2038261)Peak memory usage: 89 MB
% 5.33/1.92 % (2038261)Instructions burned: 139 (million)
% 5.33/1.92 % (2038256)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.92 % (2038256)------------------------------
% 5.33/1.92 % (2038256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.92 % (2038256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.92 % (2038256)CaDiCaL version: 2.1.3
% 5.33/1.92 % (2038256)Termination reason: Unknown
% 5.33/1.92 % (2038256)Termination phase: Saturation
% 5.33/1.93 % (2038256)Time elapsed: 0.323 s
% 5.33/1.93 % (2038256)Peak memory usage: 113 MB
% 5.33/1.93 % (2038256)Instructions burned: 540 (million)
% 5.33/1.93 % (2038272)lrs+10_1_sil=8000:sp=occurrence:random_seed=42565617:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 5.33/1.93 % (2038273)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1359946731:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.33/1.93 % (2038272)First to succeed.
% 5.33/1.93 % (2038272)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2038248"
% 5.33/1.93 % (2038274)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3870878295:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.33/1.93 % (2038262)------------------------------
% 5.33/1.93 % (2038262)------------------------------
% 5.33/1.93 % (2038275)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4059474917:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 5.33/1.93 % (2038273)Instruction limit reached!
% 5.33/1.93 % (2038273)------------------------------
% 5.33/1.93 % (2038273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.93 % (2038273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.93 % (2038273)CaDiCaL version: 2.1.3
% 5.33/1.93 % (2038273)Termination reason: Instruction limit
% 5.33/1.93 % (2038273)Termination phase: Saturation
% 5.33/1.93 % (2038273)Time elapsed: 0.147 s
% 5.33/1.93 % (2038273)Peak memory usage: 89 MB
% 5.33/1.93 % (2038273)Instructions burned: 157 (million)
% 5.33/1.93 % (2038257)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.93 % (2038257)------------------------------
% 5.33/1.93 % (2038257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.93 % (2038257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.93 % (2038257)CaDiCaL version: 2.1.3
% 5.33/1.93 % (2038257)Termination reason: Unknown
% 5.33/1.93 % (2038257)Termination phase: Saturation
% 5.33/1.93 % (2038257)Time elapsed: 0.580 s
% 5.33/1.93 % (2038257)Peak memory usage: 114 MB
% 5.33/1.93 % (2038257)Instructions burned: 544 (million)
% 5.33/1.93 % (2038258)Aborted by signal SIGSEGV on /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.93 % (2038258)------------------------------
% 5.33/1.93 % (2038258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.93 % (2038258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.93 % (2038258)CaDiCaL version: 2.1.3
% 5.33/1.93 % (2038258)Termination reason: Unknown
% 5.33/1.93 % (2038258)Termination phase: Saturation
% 5.33/1.93 % (2038258)Time elapsed: 0.593 s
% 5.33/1.93 % (2038258)Peak memory usage: 113 MB
% 5.33/1.93 % (2038258)Instructions burned: 542 (million)
% 5.33/1.93 % (2038272)Refutation found. Thanks to Tanya!
% 5.33/1.93 % SZS status Theorem for theBenchmark
% 5.33/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 0.26/2.20 % (2038272)------------------------------
% 0.26/2.20 % (2038272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.26/2.20 % (2038272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.26/2.20 % (2038272)CaDiCaL version: 2.1.3
% 0.26/2.20 % (2038272)Termination reason: Refutation
% 0.26/2.20 % (2038272)Time elapsed: 0.092 s
% 0.26/2.20 % (2038272)Peak memory usage: 90 MB
% 0.26/2.20 % (2038272)Instructions burned: 142 (million)
% 0.26/2.20 % (2038272)------------------------------
% 0.26/2.20 % (2038272)------------------------------
% 0.26/2.20 % (2038248)Success in time 0.963 s
% 0.26/2.20 % Vampire exiting
%------------------------------------------------------------------------------