TSTP Solution File: NUM993_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM993_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:44:05 EDT 2024
% Result : Theorem 8.27s 1.53s
% Output : Refutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 69
% Syntax : Number of formulae : 278 ( 108 unt; 30 typ; 0 def)
% Number of atoms : 485 ( 129 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 429 ( 192 ~; 172 |; 22 &)
% ( 29 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 17 ( 11 >; 6 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 333 ( 316 !; 0 ?; 333 :)
% ( 17 !>; 0 ?*; 0 @-; 0 @+)
% 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,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_5,type,
bit0: int > int ).
tff(func_def_6,type,
bit1: int > 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,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_10,type,
fFalse: bool ).
tff(func_def_11,type,
fTrue: bool ).
tff(func_def_12,type,
m1: int ).
tff(func_def_13,type,
n: nat ).
tff(func_def_14,type,
t: int ).
tff(func_def_15,type,
sK0: ( int * int ) > nat ).
tff(pred_def_1,type,
number:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ring:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
semiring:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
number_ring:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_10,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_11,type,
pp: bool > $o ).
tff(f40201,plain,
$false,
inference(avatar_sat_refutation,[],[f1766,f1775,f3087,f3334,f40074]) ).
tff(f40074,plain,
( ~ spl1_11
| ~ spl1_21 ),
inference(avatar_contradiction_clause,[],[f40073]) ).
tff(f40073,plain,
( $false
| ~ spl1_11
| ~ spl1_21 ),
inference(subsumption_resolution,[],[f39970,f8416]) ).
tff(f8416,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),plus_plus(int,pls,bit0(minus_minus(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(m1))))),pls),
inference(forward_demodulation,[],[f8256,f826]) ).
tff(f826,plain,
! [X0: int] : ( bit0(plus_plus(int,pls,X0)) = plus_plus(int,pls,bit0(X0)) ),
inference(superposition,[],[f408,f311]) ).
tff(f311,plain,
pls = bit0(pls),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
pls = bit0(pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_Bit0__Pls) ).
tff(f408,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(cnf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: int,X1: int] : ( plus_plus(int,bit0(X1),bit0(X0)) = bit0(plus_plus(int,X1,X0)) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X5: int,X6: int] : ( plus_plus(int,bit0(X6),bit0(X5)) = bit0(plus_plus(int,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_add__Bit0__Bit0) ).
tff(f8256,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(plus_plus(int,pls,minus_minus(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(m1))))),pls),
inference(backward_demodulation,[],[f6728,f8253]) ).
tff(f8253,plain,
! [X0: int,X1: int] : ( minus_minus(int,plus_plus(int,pls,X0),plus_plus(int,pls,X1)) = plus_plus(int,pls,minus_minus(int,X0,X1)) ),
inference(forward_demodulation,[],[f8252,f986]) ).
tff(f986,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,one_one(int),X0) ),
inference(forward_demodulation,[],[f985,f515]) ).
tff(f515,plain,
one_one(int) = bit1(pls),
inference(superposition,[],[f514,f326]) ).
tff(f326,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: int] : ( number_number_of(int,X0) = X0 ),
inference(rectify,[],[f98]) ).
tff(f98,axiom,
! [X6: int] : ( number_number_of(int,X6) = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_number__of__is__id) ).
tff(f514,plain,
one_one(int) = number_number_of(int,bit1(pls)),
inference(resolution,[],[f333,f302]) ).
tff(f302,plain,
number_ring(int),
inference(cnf_transformation,[],[f103]) ).
tff(f103,axiom,
number_ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber__ring) ).
tff(f333,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
inference(cnf_transformation,[],[f196]) ).
tff(f196,plain,
! [X0: $tType] :
( ( one_one(X0) = number_number_of(X0,bit1(pls)) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f15]) ).
tff(f15,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( one_one(X0) = number_number_of(X0,bit1(pls)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_numeral__1__eq__1) ).
tff(f985,plain,
! [X0: int] : ( plus_plus(int,pls,X0) = times_times(int,bit1(pls),X0) ),
inference(forward_demodulation,[],[f973,f327]) ).
tff(f327,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(cnf_transformation,[],[f119]) ).
tff(f119,plain,
! [X0: int] : ( pls = times_times(int,pls,X0) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X1: int] : ( pls = times_times(int,pls,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_mult__Pls) ).
tff(f973,plain,
! [X0: int] : ( times_times(int,bit1(pls),X0) = plus_plus(int,times_times(int,pls,X0),X0) ),
inference(superposition,[],[f479,f311]) ).
tff(f479,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,times_times(int,bit0(X1),X0),X0) ),
inference(forward_demodulation,[],[f409,f402]) ).
tff(f402,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(cnf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: int,X1: int] : ( bit0(times_times(int,X1,X0)) = times_times(int,bit0(X1),X0) ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X5: int,X6: int] : ( bit0(times_times(int,X6,X5)) = times_times(int,bit0(X6),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_mult__Bit0) ).
tff(f409,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(cnf_transformation,[],[f167]) ).
tff(f167,plain,
! [X0: int,X1: int] : ( times_times(int,bit1(X1),X0) = plus_plus(int,bit0(times_times(int,X1,X0)),X0) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X5: int,X6: int] : ( times_times(int,bit1(X6),X5) = plus_plus(int,bit0(times_times(int,X6,X5)),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_mult__Bit1) ).
tff(f8252,plain,
! [X0: int,X1: int] : ( times_times(int,one_one(int),minus_minus(int,X0,X1)) = minus_minus(int,plus_plus(int,pls,X0),plus_plus(int,pls,X1)) ),
inference(forward_demodulation,[],[f8200,f986]) ).
tff(f8200,plain,
! [X0: int,X1: int] : ( times_times(int,one_one(int),minus_minus(int,X0,X1)) = minus_minus(int,plus_plus(int,pls,X0),times_times(int,one_one(int),X1)) ),
inference(superposition,[],[f1804,f986]) ).
tff(f1804,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,X0,minus_minus(int,X1,X2)) = minus_minus(int,times_times(int,X0,X1),times_times(int,X0,X2)) ),
inference(forward_demodulation,[],[f1803,f326]) ).
tff(f1803,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,number_number_of(int,X0),minus_minus(int,X1,X2)) = minus_minus(int,times_times(int,number_number_of(int,X0),X1),times_times(int,number_number_of(int,X0),X2)) ),
inference(subsumption_resolution,[],[f1794,f300]) ).
tff(f300,plain,
ring(int),
inference(cnf_transformation,[],[f105]) ).
tff(f105,axiom,
ring(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Rings_Oring) ).
tff(f1794,plain,
! [X2: int,X0: int,X1: int] :
( ~ ring(int)
| ( times_times(int,number_number_of(int,X0),minus_minus(int,X1,X2)) = minus_minus(int,times_times(int,number_number_of(int,X0),X1),times_times(int,number_number_of(int,X0),X2)) ) ),
inference(resolution,[],[f366,f306]) ).
tff(f306,plain,
number(int),
inference(cnf_transformation,[],[f106]) ).
tff(f106,axiom,
number(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Int_Onumber) ).
tff(f366,plain,
! [X0: $tType,X2: X0,X3: int,X1: X0] :
( ~ number(X0)
| ~ ring(X0)
| ( times_times(X0,number_number_of(X0,X3),minus_minus(X0,X2,X1)) = minus_minus(X0,times_times(X0,number_number_of(X0,X3),X2),times_times(X0,number_number_of(X0,X3),X1)) ) ),
inference(cnf_transformation,[],[f229]) ).
tff(f229,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: int] : ( times_times(X0,number_number_of(X0,X3),minus_minus(X0,X2,X1)) = minus_minus(X0,times_times(X0,number_number_of(X0,X3),X2),times_times(X0,number_number_of(X0,X3),X1)) )
| ~ ring(X0)
| ~ number(X0) ),
inference(flattening,[],[f228]) ).
tff(f228,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0,X3: int] : ( times_times(X0,number_number_of(X0,X3),minus_minus(X0,X2,X1)) = minus_minus(X0,times_times(X0,number_number_of(X0,X3),X2),times_times(X0,number_number_of(X0,X3),X1)) )
| ~ ring(X0)
| ~ number(X0) ),
inference(ennf_transformation,[],[f139]) ).
tff(f139,plain,
! [X0: $tType] :
( ( ring(X0)
& number(X0) )
=> ! [X1: X0,X2: X0,X3: int] : ( times_times(X0,number_number_of(X0,X3),minus_minus(X0,X2,X1)) = minus_minus(X0,times_times(X0,number_number_of(X0,X3),X2),times_times(X0,number_number_of(X0,X3),X1)) ) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X10: $tType] :
( ( ring(X10)
& number(X10) )
=> ! [X13: X10,X11: X10,X2: int] : ( times_times(X10,number_number_of(X10,X2),minus_minus(X10,X11,X13)) = minus_minus(X10,times_times(X10,number_number_of(X10,X2),X11),times_times(X10,number_number_of(X10,X2),X13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_right__diff__distrib__number__of) ).
tff(f6728,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),plus_plus(int,pls,bit0(m1))))),pls),
inference(forward_demodulation,[],[f6593,f988]) ).
tff(f988,plain,
! [X0: int] : ( plus_plus(int,pls,bit0(X0)) = times_times(int,bit0(one_one(int)),X0) ),
inference(forward_demodulation,[],[f987,f826]) ).
tff(f987,plain,
! [X0: int] : ( bit0(plus_plus(int,pls,X0)) = times_times(int,bit0(one_one(int)),X0) ),
inference(superposition,[],[f402,f986]) ).
tff(f6593,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),times_times(int,bit0(one_one(int)),m1)))),pls),
inference(backward_demodulation,[],[f1183,f6581]) ).
tff(f6581,plain,
! [X2: int,X0: int,X1: int] : ( bit0(minus_minus(int,plus_plus(int,pls,X0),times_times(int,X1,X2))) = minus_minus(int,plus_plus(int,pls,bit0(X0)),times_times(int,bit0(X1),X2)) ),
inference(superposition,[],[f809,f826]) ).
tff(f809,plain,
! [X2: int,X0: int,X1: int] : ( bit0(minus_minus(int,X2,times_times(int,X0,X1))) = minus_minus(int,bit0(X2),times_times(int,bit0(X0),X1)) ),
inference(superposition,[],[f406,f402]) ).
tff(f406,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
inference(cnf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: int,X1: int] : ( bit0(minus_minus(int,X1,X0)) = minus_minus(int,bit0(X1),bit0(X0)) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X5: int,X6: int] : ( minus_minus(int,bit0(X6),bit0(X5)) = bit0(minus_minus(int,X6,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_diff__bin__simps_I7_J) ).
tff(f1183,plain,
~ ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),minus_minus(int,plus_plus(int,pls,bit0(semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)))),times_times(int,bit0(bit0(one_one(int))),m1))),pls),
inference(backward_demodulation,[],[f991,f1169]) ).
tff(f1169,plain,
! [X0: nat] : ( semiring_1_of_nat(int,plus_plus(nat,one_one(nat),X0)) = plus_plus(int,one_one(int),semiring_1_of_nat(int,X0)) ),
inference(superposition,[],[f410,f317]) ).
tff(f317,plain,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
inference(cnf_transformation,[],[f88]) ).
tff(f88,axiom,
one_one(int) = semiring_1_of_nat(int,one_one(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_int__1) ).
tff(f410,plain,
! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: nat,X1: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X1,X0)) = plus_plus(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
inference(rectify,[],[f85]) ).
tff(f85,axiom,
! [X23: nat,X24: nat] : ( semiring_1_of_nat(int,plus_plus(nat,X24,X23)) = plus_plus(int,semiring_1_of_nat(int,X24),semiring_1_of_nat(int,X23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_zadd__int) ).
tff(f991,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,plus_plus(int,pls,bit0(plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),times_times(int,bit0(bit0(one_one(int))),m1))),pls),
inference(backward_demodulation,[],[f532,f988]) ).
tff(f532,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(one_one(int))),m1))),pls),
inference(backward_demodulation,[],[f504,f515]) ).
tff(f504,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),pls),
inference(backward_demodulation,[],[f477,f489]) ).
tff(f489,plain,
pls = zero_zero(int),
inference(forward_demodulation,[],[f488,f326]) ).
tff(f488,plain,
zero_zero(int) = number_number_of(int,pls),
inference(resolution,[],[f332,f302]) ).
tff(f332,plain,
! [X0: $tType] :
( ~ number_ring(X0)
| ( zero_zero(X0) = number_number_of(X0,pls) ) ),
inference(cnf_transformation,[],[f195]) ).
tff(f195,plain,
! [X0: $tType] :
( ( zero_zero(X0) = number_number_of(X0,pls) )
| ~ number_ring(X0) ),
inference(ennf_transformation,[],[f44]) ).
tff(f44,axiom,
! [X0: $tType] :
( number_ring(X0)
=> ( zero_zero(X0) = number_number_of(X0,pls) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_number__of__Pls) ).
tff(f477,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),zero_zero(int)),
inference(forward_demodulation,[],[f474,f326]) ).
tff(f474,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),zero_zero(int)),
inference(backward_demodulation,[],[f295,f326]) ).
tff(f295,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),zero_zero(int)),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),zero_zero(int)),
inference(flattening,[],[f114]) ).
tff(f114,negated_conjecture,
~ ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),zero_zero(int)),
inference(negated_conjecture,[],[f113]) ).
tff(f113,conjecture,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),zero_zero(int)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f39970,plain,
( ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),plus_plus(int,pls,bit0(minus_minus(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(m1))))),pls)
| ~ spl1_11
| ~ spl1_21 ),
inference(backward_demodulation,[],[f8414,f39843]) ).
tff(f39843,plain,
( ! [X2: int] : ( pls = times_times(int,X2,pls) )
| ~ spl1_11
| ~ spl1_21 ),
inference(forward_demodulation,[],[f39823,f39795]) ).
tff(f39795,plain,
( ! [X0: int,X1: int] : ( pls = times_times(int,minus_minus(int,X0,X0),X1) )
| ~ spl1_11
| ~ spl1_21 ),
inference(backward_demodulation,[],[f8669,f39794]) ).
tff(f39794,plain,
( ! [X0: int,X1: int] : ( pls = times_times(int,X0,minus_minus(int,X1,X1)) )
| ~ spl1_11
| ~ spl1_21 ),
inference(subsumption_resolution,[],[f39744,f327]) ).
tff(f39744,plain,
( ! [X0: int,X1: int] :
( ( pls != times_times(int,pls,X1) )
| ( pls = times_times(int,X0,minus_minus(int,X1,X1)) ) )
| ~ spl1_11
| ~ spl1_21 ),
inference(backward_demodulation,[],[f39568,f39734]) ).
tff(f39734,plain,
( ! [X0: int] : ( pls = bit0(minus_minus(int,X0,X0)) )
| ~ spl1_11
| ~ spl1_21 ),
inference(subsumption_resolution,[],[f39714,f39637]) ).
tff(f39637,plain,
( ! [X0: int] : ~ ord_less(int,minus_minus(int,X0,X0),pls)
| ~ spl1_11
| ~ spl1_21 ),
inference(subsumption_resolution,[],[f39626,f468]) ).
tff(f468,plain,
! [X1: int] : ~ ord_less(int,X1,X1),
inference(equality_resolution,[],[f415]) ).
tff(f415,plain,
! [X0: int,X1: int] :
( ( X0 != X1 )
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
tff(f274,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(flattening,[],[f273]) ).
tff(f273,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) )
& ( ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) )
| ~ ord_less(int,X1,X0) ) ),
inference(nnf_transformation,[],[f171]) ).
tff(f171,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
<=> ( ( X0 != X1 )
& ord_less_eq(int,X1,X0) ) ),
inference(rectify,[],[f76]) ).
tff(f76,axiom,
! [X16: int,X15: int] :
( ord_less(int,X15,X16)
<=> ( ( X15 != X16 )
& ord_less_eq(int,X15,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_less__int__def) ).
tff(f39626,plain,
( ! [X0: int] :
( ord_less(int,pls,pls)
| ~ ord_less(int,minus_minus(int,X0,X0),pls) )
| ~ spl1_11
| ~ spl1_21 ),
inference(superposition,[],[f3372,f39544]) ).
tff(f39544,plain,
( ! [X0: int] : ( pls = plus_plus(int,pls,minus_minus(int,X0,X0)) )
| ~ spl1_21 ),
inference(forward_demodulation,[],[f39543,f327]) ).
tff(f39543,plain,
( ! [X0: int] : ( times_times(int,pls,X0) = plus_plus(int,pls,minus_minus(int,X0,X0)) )
| ~ spl1_21 ),
inference(forward_demodulation,[],[f39450,f3086]) ).
tff(f3086,plain,
( ( pls = minus_minus(int,one_one(int),one_one(int)) )
| ~ spl1_21 ),
inference(avatar_component_clause,[],[f3084]) ).
tff(f3084,plain,
( spl1_21
<=> ( pls = minus_minus(int,one_one(int),one_one(int)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_21])]) ).
tff(f39450,plain,
! [X0: int] : ( plus_plus(int,pls,minus_minus(int,X0,X0)) = times_times(int,minus_minus(int,one_one(int),one_one(int)),X0) ),
inference(superposition,[],[f8669,f986]) ).
tff(f3372,plain,
( ! [X0: int] :
( ord_less(int,plus_plus(int,pls,X0),pls)
| ~ ord_less(int,X0,pls) )
| ~ spl1_11 ),
inference(superposition,[],[f1765,f759]) ).
tff(f759,plain,
pls = plus_plus(int,pls,pls),
inference(forward_demodulation,[],[f758,f489]) ).
tff(f758,plain,
zero_zero(int) = plus_plus(int,zero_zero(int),zero_zero(int)),
inference(resolution,[],[f459,f297]) ).
tff(f297,plain,
linord219039673up_add(int),
inference(cnf_transformation,[],[f99]) ).
tff(f99,axiom,
linord219039673up_add(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Olinordered__ab__group__add) ).
tff(f459,plain,
! [X0: $tType] :
( ~ linord219039673up_add(X0)
| ( zero_zero(X0) = plus_plus(X0,zero_zero(X0),zero_zero(X0)) ) ),
inference(equality_resolution,[],[f331]) ).
tff(f331,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
| ( zero_zero(X0) != X1 )
| ~ linord219039673up_add(X0) ),
inference(cnf_transformation,[],[f241]) ).
tff(f241,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
| ( zero_zero(X0) != X1 ) )
& ( ( zero_zero(X0) = X1 )
| ( zero_zero(X0) != plus_plus(X0,X1,X1) ) ) )
| ~ linord219039673up_add(X0) ),
inference(nnf_transformation,[],[f194]) ).
tff(f194,plain,
! [X0: $tType] :
( ! [X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
<=> ( zero_zero(X0) = X1 ) )
| ~ linord219039673up_add(X0) ),
inference(ennf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: $tType] :
( linord219039673up_add(X0)
=> ! [X1: X0] :
( ( zero_zero(X0) = plus_plus(X0,X1,X1) )
<=> ( zero_zero(X0) = X1 ) ) ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X0: $tType] :
( linord219039673up_add(X0)
=> ! [X9: X0] :
( ( zero_zero(X0) = plus_plus(X0,X9,X9) )
<=> ( zero_zero(X0) = X9 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_double__eq__0__iff) ).
tff(f1765,plain,
( ! [X0: int,X1: int] :
( ord_less(int,plus_plus(int,pls,X0),plus_plus(int,pls,X1))
| ~ ord_less(int,X0,X1) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f1764]) ).
tff(f1764,plain,
( spl1_11
<=> ! [X0: int,X1: int] :
( ord_less(int,plus_plus(int,pls,X0),plus_plus(int,pls,X1))
| ~ ord_less(int,X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f39714,plain,
( ! [X0: int] :
( ( pls = bit0(minus_minus(int,X0,X0)) )
| ord_less(int,minus_minus(int,X0,X0),pls) )
| ~ spl1_11
| ~ spl1_21 ),
inference(resolution,[],[f39645,f718]) ).
tff(f718,plain,
! [X0: int] :
( ~ ord_less_eq(int,bit0(X0),pls)
| ( pls = bit0(X0) )
| ord_less(int,X0,pls) ),
inference(resolution,[],[f416,f392]) ).
tff(f392,plain,
! [X0: int] :
( ~ ord_less(int,bit0(X0),pls)
| ord_less(int,X0,pls) ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
! [X0: int] :
( ( ord_less(int,bit0(X0),pls)
| ~ ord_less(int,X0,pls) )
& ( ord_less(int,X0,pls)
| ~ ord_less(int,bit0(X0),pls) ) ),
inference(nnf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0: int] :
( ord_less(int,bit0(X0),pls)
<=> ord_less(int,X0,pls) ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X8: int] :
( ord_less(int,bit0(X8),pls)
<=> ord_less(int,X8,pls) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_rel__simps_I10_J) ).
tff(f416,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,X0)
| ( X0 = X1 )
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f274]) ).
tff(f39645,plain,
( ! [X0: int] : ord_less_eq(int,bit0(minus_minus(int,X0,X0)),pls)
| ~ spl1_11
| ~ spl1_21 ),
inference(resolution,[],[f39636,f4332]) ).
tff(f4332,plain,
! [X0: int] :
( ord_less(int,pls,X0)
| ord_less_eq(int,bit0(X0),pls) ),
inference(resolution,[],[f1671,f2337]) ).
tff(f2337,plain,
! [X0: int] :
( ~ ord_less(int,X0,one_one(int))
| ord_less_eq(int,X0,pls) ),
inference(superposition,[],[f453,f1965]) ).
tff(f1965,plain,
one_one(int) = plus_plus(int,pls,one_one(int)),
inference(forward_demodulation,[],[f1915,f515]) ).
tff(f1915,plain,
bit1(pls) = plus_plus(int,pls,bit1(pls)),
inference(superposition,[],[f777,f759]) ).
tff(f777,plain,
! [X0: int] : ( bit1(plus_plus(int,pls,X0)) = plus_plus(int,pls,bit1(X0)) ),
inference(superposition,[],[f403,f311]) ).
tff(f403,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(cnf_transformation,[],[f161]) ).
tff(f161,plain,
! [X0: int,X1: int] : ( bit1(plus_plus(int,X1,X0)) = plus_plus(int,bit0(X1),bit1(X0)) ),
inference(rectify,[],[f62]) ).
tff(f62,axiom,
! [X5: int,X6: int] : ( bit1(plus_plus(int,X6,X5)) = plus_plus(int,bit0(X6),bit1(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_add__Bit0__Bit1) ).
tff(f453,plain,
! [X0: int,X1: int] :
( ~ ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
tff(f293,plain,
! [X0: int,X1: int] :
( ( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) )
& ( ord_less_eq(int,X1,X0)
| ~ ord_less(int,X1,plus_plus(int,X0,one_one(int))) ) ),
inference(nnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
<=> ord_less_eq(int,X1,X0) ),
inference(rectify,[],[f68]) ).
tff(f68,axiom,
! [X15: int,X16: int] :
( ord_less(int,X16,plus_plus(int,X15,one_one(int)))
<=> ord_less_eq(int,X16,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_zle__add1__eq__le) ).
tff(f1671,plain,
! [X0: int] :
( ord_less(int,bit0(X0),one_one(int))
| ord_less(int,pls,X0) ),
inference(resolution,[],[f1577,f561]) ).
tff(f561,plain,
! [X0: int] :
( ~ ord_less_eq(int,one_one(int),bit0(X0))
| ord_less(int,pls,X0) ),
inference(resolution,[],[f495,f388]) ).
tff(f388,plain,
! [X0: int] :
( ~ ord_less(int,pls,bit0(X0))
| ord_less(int,pls,X0) ),
inference(cnf_transformation,[],[f263]) ).
tff(f263,plain,
! [X0: int] :
( ( ord_less(int,pls,bit0(X0))
| ~ ord_less(int,pls,X0) )
& ( ord_less(int,pls,X0)
| ~ ord_less(int,pls,bit0(X0)) ) ),
inference(nnf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: int] :
( ord_less(int,pls,bit0(X0))
<=> ord_less(int,pls,X0) ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X8: int] :
( ord_less(int,pls,bit0(X8))
<=> ord_less(int,pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_rel__simps_I4_J) ).
tff(f495,plain,
! [X0: int] :
( ord_less(int,pls,X0)
| ~ ord_less_eq(int,one_one(int),X0) ),
inference(backward_demodulation,[],[f380,f489]) ).
tff(f380,plain,
! [X0: int] :
( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ),
inference(cnf_transformation,[],[f259]) ).
tff(f259,plain,
! [X0: int] :
( ( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) )
& ( ord_less(int,zero_zero(int),X0)
| ~ ord_less_eq(int,one_one(int),X0) ) ),
inference(nnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
<=> ord_less(int,zero_zero(int),X0) ),
inference(rectify,[],[f93]) ).
tff(f93,axiom,
! [X15: int] :
( ord_less_eq(int,one_one(int),X15)
<=> ord_less(int,zero_zero(int),X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_92_int__one__le__iff__zero__less) ).
tff(f1577,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,X1)
| ord_less(int,X1,X0) ),
inference(forward_demodulation,[],[f1576,f326]) ).
tff(f1576,plain,
! [X0: int,X1: int] :
( ord_less(int,number_number_of(int,X1),X0)
| ord_less_eq(int,X0,X1) ),
inference(forward_demodulation,[],[f1575,f326]) ).
tff(f1575,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,X1)
| ord_less(int,number_number_of(int,X1),number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f1574,f326]) ).
tff(f1574,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,number_number_of(int,X1))
| ord_less(int,number_number_of(int,X1),number_number_of(int,X0)) ),
inference(subsumption_resolution,[],[f1573,f306]) ).
tff(f1573,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,number_number_of(int,X1))
| ord_less(int,number_number_of(int,X1),number_number_of(int,X0))
| ~ number(int) ),
inference(subsumption_resolution,[],[f1564,f309]) ).
tff(f309,plain,
linorder(int),
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
linorder(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Olinorder) ).
tff(f1564,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X0,number_number_of(int,X1))
| ord_less(int,number_number_of(int,X1),number_number_of(int,X0))
| ~ linorder(int)
| ~ number(int) ),
inference(superposition,[],[f371,f326]) ).
tff(f371,plain,
! [X0: $tType,X2: int,X1: int] :
( ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
| ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2))
| ~ linorder(X0)
| ~ number(X0) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ( ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
| ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2)) )
& ( ~ ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2))
| ~ ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1)) ) )
| ~ linorder(X0)
| ~ number(X0) ),
inference(nnf_transformation,[],[f237]) ).
tff(f237,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
<=> ~ ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2)) )
| ~ linorder(X0)
| ~ number(X0) ),
inference(flattening,[],[f236]) ).
tff(f236,plain,
! [X0: $tType] :
( ! [X1: int,X2: int] :
( ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
<=> ~ ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2)) )
| ~ linorder(X0)
| ~ number(X0) ),
inference(ennf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: $tType] :
( ( linorder(X0)
& number(X0) )
=> ! [X1: int,X2: int] :
( ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
<=> ~ ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2)) ) ),
inference(rectify,[],[f81]) ).
tff(f81,axiom,
! [X0: $tType] :
( ( linorder(X0)
& number(X0) )
=> ! [X16: int,X22: int] :
( ord_less_eq(X0,number_number_of(X0,X22),number_number_of(X0,X16))
<=> ~ ord_less(X0,number_number_of(X0,X16),number_number_of(X0,X22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_le__number__of__eq__not__less) ).
tff(f39636,plain,
( ! [X0: int] : ~ ord_less(int,pls,minus_minus(int,X0,X0))
| ~ spl1_11
| ~ spl1_21 ),
inference(subsumption_resolution,[],[f39625,f468]) ).
tff(f39625,plain,
( ! [X0: int] :
( ord_less(int,pls,pls)
| ~ ord_less(int,pls,minus_minus(int,X0,X0)) )
| ~ spl1_11
| ~ spl1_21 ),
inference(superposition,[],[f3368,f39544]) ).
tff(f3368,plain,
( ! [X0: int] :
( ord_less(int,pls,plus_plus(int,pls,X0))
| ~ ord_less(int,pls,X0) )
| ~ spl1_11 ),
inference(superposition,[],[f1765,f759]) ).
tff(f39568,plain,
! [X0: int,X1: int] :
( ( pls != times_times(int,bit0(minus_minus(int,X0,X0)),X1) )
| ( pls = times_times(int,X0,minus_minus(int,X1,X1)) ) ),
inference(forward_demodulation,[],[f39487,f406]) ).
tff(f39487,plain,
! [X0: int,X1: int] :
( ( pls != times_times(int,minus_minus(int,bit0(X0),bit0(X0)),X1) )
| ( pls = times_times(int,X0,minus_minus(int,X1,X1)) ) ),
inference(superposition,[],[f675,f8669]) ).
tff(f675,plain,
! [X0: int,X1: int] :
( ( pls != times_times(int,bit0(X0),X1) )
| ( pls = times_times(int,X0,X1) ) ),
inference(superposition,[],[f372,f402]) ).
tff(f372,plain,
! [X0: int] :
( ( pls != bit0(X0) )
| ( pls = X0 ) ),
inference(cnf_transformation,[],[f255]) ).
tff(f255,plain,
! [X0: int] :
( ( ( pls = bit0(X0) )
| ( pls != X0 ) )
& ( ( pls = X0 )
| ( pls != bit0(X0) ) ) ),
inference(nnf_transformation,[],[f144]) ).
tff(f144,plain,
! [X0: int] :
( ( pls = bit0(X0) )
<=> ( pls = X0 ) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X7: int] :
( ( pls = bit0(X7) )
<=> ( pls = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_rel__simps_I38_J) ).
tff(f8669,plain,
! [X0: int,X1: int] : ( times_times(int,X0,minus_minus(int,X1,X1)) = times_times(int,minus_minus(int,X0,X0),X1) ),
inference(superposition,[],[f1832,f1804]) ).
tff(f1832,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,minus_minus(int,X0,X1),X2) = minus_minus(int,times_times(int,X0,X2),times_times(int,X1,X2)) ),
inference(forward_demodulation,[],[f1831,f326]) ).
tff(f1831,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,minus_minus(int,X0,X1),number_number_of(int,X2)) = minus_minus(int,times_times(int,X0,number_number_of(int,X2)),times_times(int,X1,number_number_of(int,X2))) ),
inference(subsumption_resolution,[],[f1830,f300]) ).
tff(f1830,plain,
! [X2: int,X0: int,X1: int] :
( ~ ring(int)
| ( times_times(int,minus_minus(int,X0,X1),number_number_of(int,X2)) = minus_minus(int,times_times(int,X0,number_number_of(int,X2)),times_times(int,X1,number_number_of(int,X2))) ) ),
inference(resolution,[],[f367,f306]) ).
tff(f367,plain,
! [X0: $tType,X2: X0,X3: X0,X1: int] :
( ~ number(X0)
| ~ ring(X0)
| ( times_times(X0,minus_minus(X0,X3,X2),number_number_of(X0,X1)) = minus_minus(X0,times_times(X0,X3,number_number_of(X0,X1)),times_times(X0,X2,number_number_of(X0,X1))) ) ),
inference(cnf_transformation,[],[f231]) ).
tff(f231,plain,
! [X0: $tType] :
( ! [X1: int,X2: X0,X3: X0] : ( times_times(X0,minus_minus(X0,X3,X2),number_number_of(X0,X1)) = minus_minus(X0,times_times(X0,X3,number_number_of(X0,X1)),times_times(X0,X2,number_number_of(X0,X1))) )
| ~ ring(X0)
| ~ number(X0) ),
inference(flattening,[],[f230]) ).
tff(f230,plain,
! [X0: $tType] :
( ! [X1: int,X2: X0,X3: X0] : ( times_times(X0,minus_minus(X0,X3,X2),number_number_of(X0,X1)) = minus_minus(X0,times_times(X0,X3,number_number_of(X0,X1)),times_times(X0,X2,number_number_of(X0,X1))) )
| ~ ring(X0)
| ~ number(X0) ),
inference(ennf_transformation,[],[f140]) ).
tff(f140,plain,
! [X0: $tType] :
( ( ring(X0)
& number(X0) )
=> ! [X1: int,X2: X0,X3: X0] : ( times_times(X0,minus_minus(X0,X3,X2),number_number_of(X0,X1)) = minus_minus(X0,times_times(X0,X3,number_number_of(X0,X1)),times_times(X0,X2,number_number_of(X0,X1))) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X10: $tType] :
( ( ring(X10)
& number(X10) )
=> ! [X2: int,X11: X10,X12: X10] : ( times_times(X10,minus_minus(X10,X12,X11),number_number_of(X10,X2)) = minus_minus(X10,times_times(X10,X12,number_number_of(X10,X2)),times_times(X10,X11,number_number_of(X10,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_left__diff__distrib__number__of) ).
tff(f39823,plain,
( ! [X2: int,X0: int,X1: int] : ( times_times(int,X2,pls) = times_times(int,minus_minus(int,X2,X2),times_times(int,X0,X1)) )
| ~ spl1_11
| ~ spl1_21 ),
inference(backward_demodulation,[],[f39444,f39795]) ).
tff(f39444,plain,
! [X2: int,X0: int,X1: int] : ( times_times(int,minus_minus(int,X2,X2),times_times(int,X0,X1)) = times_times(int,X2,times_times(int,minus_minus(int,X0,X0),X1)) ),
inference(superposition,[],[f8669,f1832]) ).
tff(f8414,plain,
ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),plus_plus(int,pls,bit0(minus_minus(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(m1))))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(forward_demodulation,[],[f8254,f826]) ).
tff(f8254,plain,
ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(plus_plus(int,pls,minus_minus(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(m1))))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(backward_demodulation,[],[f6726,f8253]) ).
tff(f6726,plain,
ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),plus_plus(int,pls,bit0(m1))))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(forward_demodulation,[],[f6591,f988]) ).
tff(f6591,plain,
ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),bit0(minus_minus(int,plus_plus(int,pls,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n))),times_times(int,bit0(one_one(int)),m1)))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(backward_demodulation,[],[f1181,f6581]) ).
tff(f1181,plain,
ord_less(int,times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),minus_minus(int,plus_plus(int,pls,bit0(semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,semiring_1_of_nat(int,plus_plus(nat,one_one(nat),n)),pls)),
inference(backward_demodulation,[],[f989,f1169]) ).
tff(f989,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,plus_plus(int,pls,bit0(plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f530,f988]) ).
tff(f530,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(one_one(int)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(one_one(int))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f502,f515]) ).
tff(f502,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),pls)),
inference(backward_demodulation,[],[f475,f489]) ).
tff(f475,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,bit0(bit1(pls)),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(forward_demodulation,[],[f471,f326]) ).
tff(f471,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,bit0(bit0(bit1(pls))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(backward_demodulation,[],[f323,f326]) ).
tff(f323,plain,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
ord_less(int,times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),minus_minus(int,times_times(int,number_number_of(int,bit0(bit1(pls))),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))),times_times(int,number_number_of(int,bit0(bit0(bit1(pls)))),m1))),times_times(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),zero_zero(int))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__096_I1_A_L_Aint_An_J_A_K_A_I2_A_K_A_I1_A_L_Aint_An_J_A_N_A4_A_K_Am1_J_A_060_A_I1_A_L_Aint_An_J_A_K_A0_096) ).
tff(f3334,plain,
spl1_20,
inference(avatar_contradiction_clause,[],[f3333]) ).
tff(f3333,plain,
( $false
| spl1_20 ),
inference(subsumption_resolution,[],[f3330,f547]) ).
tff(f547,plain,
ord_less(int,pls,one_one(int)),
inference(subsumption_resolution,[],[f546,f312]) ).
tff(f312,plain,
ord_less_eq(int,pls,pls),
inference(cnf_transformation,[],[f35]) ).
tff(f35,axiom,
ord_less_eq(int,pls,pls),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_34_rel__simps_I19_J) ).
tff(f546,plain,
( ord_less(int,pls,one_one(int))
| ~ ord_less_eq(int,pls,pls) ),
inference(superposition,[],[f387,f515]) ).
tff(f387,plain,
! [X0: int] :
( ord_less(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) ),
inference(cnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X0: int] :
( ( ord_less(int,pls,bit1(X0))
| ~ ord_less_eq(int,pls,X0) )
& ( ord_less_eq(int,pls,X0)
| ~ ord_less(int,pls,bit1(X0)) ) ),
inference(nnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: int] :
( ord_less(int,pls,bit1(X0))
<=> ord_less_eq(int,pls,X0) ),
inference(rectify,[],[f65]) ).
tff(f65,axiom,
! [X8: int] :
( ord_less(int,pls,bit1(X8))
<=> ord_less_eq(int,pls,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_rel__simps_I5_J) ).
tff(f3330,plain,
( ~ ord_less(int,pls,one_one(int))
| spl1_20 ),
inference(resolution,[],[f3082,f448]) ).
tff(f448,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,plain,
! [X0: int,X1: int] :
( ( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ~ ord_less(int,X1,X0) )
& ( ord_less(int,X1,X0)
| ~ ord_less_eq(int,X1,minus_minus(int,X0,one_one(int))) ) ),
inference(nnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: int,X1: int] :
( ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
<=> ord_less(int,X1,X0) ),
inference(rectify,[],[f69]) ).
tff(f69,axiom,
! [X15: int,X16: int] :
( ord_less_eq(int,X16,minus_minus(int,X15,one_one(int)))
<=> ord_less(int,X16,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_zle__diff1__eq) ).
tff(f3082,plain,
( ~ ord_less_eq(int,pls,minus_minus(int,one_one(int),one_one(int)))
| spl1_20 ),
inference(avatar_component_clause,[],[f3080]) ).
tff(f3080,plain,
( spl1_20
<=> ord_less_eq(int,pls,minus_minus(int,one_one(int),one_one(int))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_20])]) ).
tff(f3087,plain,
( ~ spl1_20
| spl1_21 ),
inference(avatar_split_clause,[],[f3069,f3084,f3080]) ).
tff(f3069,plain,
( ( pls = minus_minus(int,one_one(int),one_one(int)) )
| ~ ord_less_eq(int,pls,minus_minus(int,one_one(int),one_one(int))) ),
inference(resolution,[],[f2532,f416]) ).
tff(f2532,plain,
~ ord_less(int,pls,minus_minus(int,one_one(int),one_one(int))),
inference(resolution,[],[f1591,f1818]) ).
tff(f1818,plain,
! [X0: int] : ord_less(int,minus_minus(int,X0,one_one(int)),X0),
inference(resolution,[],[f1808,f447]) ).
tff(f447,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X1,minus_minus(int,X0,one_one(int)))
| ord_less(int,X1,X0) ),
inference(cnf_transformation,[],[f290]) ).
tff(f1808,plain,
! [X0: int] : ord_less_eq(int,X0,X0),
inference(resolution,[],[f1660,f453]) ).
tff(f1660,plain,
! [X0: int] : ord_less(int,X0,plus_plus(int,X0,one_one(int))),
inference(resolution,[],[f1577,f882]) ).
tff(f882,plain,
! [X0: int] : ~ ord_less_eq(int,plus_plus(int,X0,one_one(int)),X0),
inference(resolution,[],[f454,f468]) ).
tff(f454,plain,
! [X0: int,X1: int] :
( ord_less(int,X1,plus_plus(int,X0,one_one(int)))
| ~ ord_less_eq(int,X1,X0) ),
inference(cnf_transformation,[],[f293]) ).
tff(f1591,plain,
! [X0: int] :
( ~ ord_less(int,X0,one_one(int))
| ~ ord_less(int,pls,X0) ),
inference(resolution,[],[f1465,f496]) ).
tff(f496,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,pls,X0) ),
inference(backward_demodulation,[],[f381,f489]) ).
tff(f381,plain,
! [X0: int] :
( ord_less_eq(int,one_one(int),X0)
| ~ ord_less(int,zero_zero(int),X0) ),
inference(cnf_transformation,[],[f259]) ).
tff(f1465,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X0,X1)
| ~ ord_less(int,X1,X0) ),
inference(forward_demodulation,[],[f1464,f326]) ).
tff(f1464,plain,
! [X0: int,X1: int] :
( ~ ord_less(int,number_number_of(int,X1),X0)
| ~ ord_less_eq(int,X0,X1) ),
inference(forward_demodulation,[],[f1463,f326]) ).
tff(f1463,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X0,X1)
| ~ ord_less(int,number_number_of(int,X1),number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f1462,f326]) ).
tff(f1462,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X0,number_number_of(int,X1))
| ~ ord_less(int,number_number_of(int,X1),number_number_of(int,X0)) ),
inference(subsumption_resolution,[],[f1461,f306]) ).
tff(f1461,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X0,number_number_of(int,X1))
| ~ ord_less(int,number_number_of(int,X1),number_number_of(int,X0))
| ~ number(int) ),
inference(subsumption_resolution,[],[f1453,f309]) ).
tff(f1453,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq(int,X0,number_number_of(int,X1))
| ~ ord_less(int,number_number_of(int,X1),number_number_of(int,X0))
| ~ linorder(int)
| ~ number(int) ),
inference(superposition,[],[f370,f326]) ).
tff(f370,plain,
! [X0: $tType,X2: int,X1: int] :
( ~ ord_less_eq(X0,number_number_of(X0,X2),number_number_of(X0,X1))
| ~ ord_less(X0,number_number_of(X0,X1),number_number_of(X0,X2))
| ~ linorder(X0)
| ~ number(X0) ),
inference(cnf_transformation,[],[f254]) ).
tff(f1775,plain,
spl1_10,
inference(avatar_contradiction_clause,[],[f1774]) ).
tff(f1774,plain,
( $false
| spl1_10 ),
inference(subsumption_resolution,[],[f1773,f547]) ).
tff(f1773,plain,
( ~ ord_less(int,pls,one_one(int))
| spl1_10 ),
inference(forward_demodulation,[],[f1772,f490]) ).
tff(f490,plain,
pls = semiring_1_of_nat(int,zero_zero(nat)),
inference(backward_demodulation,[],[f316,f489]) ).
tff(f316,plain,
zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
inference(cnf_transformation,[],[f90]) ).
tff(f90,axiom,
zero_zero(int) = semiring_1_of_nat(int,zero_zero(nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_int__0) ).
tff(f1772,plain,
( ~ ord_less(int,semiring_1_of_nat(int,zero_zero(nat)),one_one(int))
| spl1_10 ),
inference(forward_demodulation,[],[f1768,f317]) ).
tff(f1768,plain,
( ~ ord_less(int,semiring_1_of_nat(int,zero_zero(nat)),semiring_1_of_nat(int,one_one(nat)))
| spl1_10 ),
inference(resolution,[],[f1762,f455]) ).
tff(f455,plain,
! [X0: nat,X1: nat] :
( ord_less(nat,X1,X0)
| ~ ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ),
inference(cnf_transformation,[],[f294]) ).
tff(f294,plain,
! [X0: nat,X1: nat] :
( ( ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0))
| ~ ord_less(nat,X1,X0) )
& ( ord_less(nat,X1,X0)
| ~ ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0)) ) ),
inference(nnf_transformation,[],[f191]) ).
tff(f191,plain,
! [X0: nat,X1: nat] :
( ord_less(int,semiring_1_of_nat(int,X1),semiring_1_of_nat(int,X0))
<=> ord_less(nat,X1,X0) ),
inference(rectify,[],[f86]) ).
tff(f86,axiom,
! [X19: nat,X25: nat] :
( ord_less(int,semiring_1_of_nat(int,X25),semiring_1_of_nat(int,X19))
<=> ord_less(nat,X25,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_zless__int) ).
tff(f1762,plain,
( ~ ord_less(nat,zero_zero(nat),one_one(nat))
| spl1_10 ),
inference(avatar_component_clause,[],[f1760]) ).
tff(f1760,plain,
( spl1_10
<=> ord_less(nat,zero_zero(nat),one_one(nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f1766,plain,
( ~ spl1_10
| spl1_11 ),
inference(avatar_split_clause,[],[f1758,f1764,f1760]) ).
tff(f1758,plain,
! [X0: int,X1: int] :
( ord_less(int,plus_plus(int,pls,X0),plus_plus(int,pls,X1))
| ~ ord_less(nat,zero_zero(nat),one_one(nat))
| ~ ord_less(int,X0,X1) ),
inference(forward_demodulation,[],[f1757,f986]) ).
tff(f1757,plain,
! [X0: int,X1: int] :
( ord_less(int,times_times(int,one_one(int),X0),plus_plus(int,pls,X1))
| ~ ord_less(nat,zero_zero(nat),one_one(nat))
| ~ ord_less(int,X0,X1) ),
inference(forward_demodulation,[],[f1755,f986]) ).
tff(f1755,plain,
! [X0: int,X1: int] :
( ord_less(int,times_times(int,one_one(int),X0),times_times(int,one_one(int),X1))
| ~ ord_less(nat,zero_zero(nat),one_one(nat))
| ~ ord_less(int,X0,X1) ),
inference(superposition,[],[f458,f317]) ).
tff(f458,plain,
! [X2: int,X0: nat,X1: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(cnf_transformation,[],[f240]) ).
tff(f240,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(flattening,[],[f239]) ).
tff(f239,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1))
| ~ ord_less(nat,zero_zero(nat),X0)
| ~ ord_less(int,X2,X1) ),
inference(ennf_transformation,[],[f193]) ).
tff(f193,plain,
! [X0: nat,X1: int,X2: int] :
( ord_less(int,X2,X1)
=> ( ord_less(nat,zero_zero(nat),X0)
=> ord_less(int,times_times(int,semiring_1_of_nat(int,X0),X2),times_times(int,semiring_1_of_nat(int,X0),X1)) ) ),
inference(rectify,[],[f80]) ).
tff(f80,axiom,
! [X6: nat,X20: int,X21: int] :
( ord_less(int,X21,X20)
=> ( ord_less(nat,zero_zero(nat),X6)
=> ord_less(int,times_times(int,semiring_1_of_nat(int,X6),X21),times_times(int,semiring_1_of_nat(int,X6),X20)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_79_zmult__zless__mono2__lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM993_5 : TPTP v8.1.2. Released v6.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 15:04:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22854)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (22857)WARNING: value z3 for option sas not known
% 0.22/0.38 % (22855)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (22858)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (22857)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (22859)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (22856)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (22860)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (22861)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (22861)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.39 % Exception at run slice level
% 0.22/0.39 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.41 % (22862)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.22/0.41 % (22863)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.22/0.41 % (22864)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.22/0.41 % (22862)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.41 % Exception at run slice level
% 0.22/0.41 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.22/0.41 % (22863)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.22/0.43 % (22865)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 7.74/1.53 % (22864)First to succeed.
% 7.74/1.53 % (22864)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22854"
% 8.27/1.53 % (22864)Refutation found. Thanks to Tanya!
% 8.27/1.53 % SZS status Theorem for theBenchmark
% 8.27/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 8.27/1.53 % (22864)------------------------------
% 8.27/1.53 % (22864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.27/1.53 % (22864)Termination reason: Refutation
% 8.27/1.53
% 8.27/1.53 % (22864)Memory used [KB]: 12447
% 8.27/1.53 % (22864)Time elapsed: 1.124 s
% 8.27/1.53 % (22864)Instructions burned: 3401 (million)
% 8.27/1.53 % (22854)Success in time 1.142 s
%------------------------------------------------------------------------------